Explanation:
To find the acceleration of the rocket, we need to use the equations of motion for constant acceleration.
We know that the bolt was dropped 5 seconds after the rocket was launched, and that it took 10 seconds for the bolt to hit the ground. This means that the bolt was in free fall for 10 - 5 = <<10-5=5>>5 seconds.
We can use the equation d = 1/2 * a * t^2 to find the acceleration of the bolt. We know that the bolt fell a distance of 10 meters in 5 seconds, so we can plug those values into the equation to get: 10 = 1/2 * a * 5^2. Solving for a gives us a = 2 * 10 / 5^2 = 2 * 10 / 25 = 0.8.
Since the bolt was in free fall, its acceleration was due to gravity, which is about 9.8 meters per second squared. This means that the rocket must have had an acceleration greater than 9.8 meters per second squared in order to cause the bolt to fall off of it.
Therefore, the rocket's acceleration must have been greater than 0.8 meters per second squared. However, we cannot say exactly what the acceleration was without knowing more information about the rocket and its launch conditions.
The acceleration of the rocket is 197.5 m/s² if the bolt hits the ground 10.0 s later.
What is Kinematics ?A branch of physics called kinematics, which was evolved from classical mechanics, defines how points, bodies, and systems of bodies (groups of objects) move without taking into account the forces that propel them. The discipline of kinematics is sometimes thought of as a subfield of mathematics and is sometimes referred to as the "geometry of motion." Any known values of the location, velocity, and/or acceleration of points inside the system are declared as initial conditions for a kinematics issue, together with the geometry of the system. The location, velocity, and acceleration of any unidentified system components can then be calculated using geometrical considerations. Kinematics, not kinematics, is the study of forces and their effects on physical objects. For further information, visit.
Given,
time of the bolt = 10-5 =5s
acceleration due to gravity =9.8m/s²
The height of the bolt s = ut+1/2at²
s = 0+ 1/2 ×9.8×5²
s = 122.5m
We cannot find the acceleration of the rocket without its final velocity (velocity of the rocket at the time of fall of bolt). Therefore Consider the final velocity of the Rocket is 220m/s
Then,
v² = u² + 2as
220² = 0 +2×a×122.5
48400 = 245 a
a = 197.5 m/s²
To know more about Acceleration :
https://brainly.com/question/12550364
#SPJ2.
How do I calculate the force needed to lift an object of 15N at a constant speed of 2m/s?
The force necessary to lift an object is the same as the force necessary to fight gravity.
We may calculate the gravitational force acting on the object using Newton's second law if we assume that the acceleration caused by gravity is 9.8ms2. By exerting force that is produced by the person's muscles, the weights are raised. It is therefore a muscular force. Lift can be in any direction with respect to gravity, contrary to the popular understanding of the word, which defines it with respect to the direction of flow rather than the direction of gravity. If the force on an object's bottom is greater than the force of gravity coming from above, lift will result. Lift must equal gravity for a height to be sustained.
to know more about force please visit.
https://brainly.com/question/13191643
#SPJ4
When the filament breaks in one lamp in a parallel circuit, lamps in other branches of the circuit normally _________.
continue glowing as brightly
absorb energy from the damaged lamp
go out
continue glowing, but dimme
When the filament breaks in one lamp in a parallel circuit, lamps in other branches of the circuit normally continue glowing as brightly.
What is Parallel Circuit Connection ?There are precisely two sets of electrically common points formed by the connections of all parts across one another. A path for electrical current created by one of the load components is referred to as a "branch" in a parallel circuit (such as a resistor).
The fact that it is all connected in parallel sequences, hence the name, is a crucial component of the "parallel" circuit. The "rungs" on either side of this sort of circuit must be descended for a current to pass through each component.
Aparallel circuit's characteristics :
The identical two places are joined by each gadget.The parallel branches divide the circuit's overall current.The overall current in the circuit is equal to the sum of the currents in the parallel branches.As the number of branches increases, the circuit's total resistance lowers.To learn more about parallel circuit refer to :
https://brainly.com/question/28283516
#SPJ4
find the degeneracy of the second, third, fourth, and fifth levels for the threedimensional cubical box.
The degeneracies of the first, fourth and fifth energy levels for the three dimensionsal cubical box are 1, 3 and 1.
Calculation :
Given Data
A three-dimensional cubic box with
lx=ly=lz=Li.
For a 3D cubic box, the energy of the particle in a box is having a formula given below,
E3D=h²8m(n²x/l²x+n²y/l²y+n²z/l²z)
Given,
lx=ly=lz=Li, put in the above equation, we get,
E3D=h²/8m(n²x/L²+n²y/L²+n²z/L²)
E3D=h²/8mL²(n²x+n²y+n²z)
Now, for the First energy level, the energy will be,
E3D=h²/8mL²(1²+1²+1²)
E3D=3h²/8mL²
The degeneracy is equal to 1 because nx=ny=nz=1.
Now, for the Fourth energy level, the energy will be,
E3D=h²/8mL²(1²+1²+3²)
E3D=h²/8mL²(1+1+9)
E3D=11h²8mL²
The degeneracy is equal to 3 because, nx=1,ny=1,nz=3,nx=1,ny=3,nz=1 and nx=3,ny=1,nz=1.
Now, for the Fifth energy level, the energy will be,
E3D=h²/8mL²(2²+2²+2²)
E3D=h²/8mL²(4+4+4)
E3D=12h²/8mL²
The degeneracy is equal to 1 because nx=2,ny=2,nz=2.
Therefore, the degeneracies of the first, fourth and fifth energy levels are 1, 3 and 1.
Energy levels are degenerate if they correspond to two or more different measurable states of a quantum system. Conversely, two or more distinct states of a quantum mechanical system are said to be degenerate if they have the same energy value when measured. The number of different states corresponding to a particular energy level is called the degeneracy of the level.
Learn more about degeneracy energy levels here : https://brainly.com/question/14439838
#SPJ4
Does the Foucault pendulum rotate at the poles because they are considered to be the axes of rotation of earth? Why doesn’t the pendulum move at the equator?
Due to the pendulum's sluggish swing, which gave the impression of changing direction as the Earth moved away, the Foucault Pendulum demonstrated that the Earth rotates.
Foucault understood that his pendulum would swing more slowly the longer the thread was linked to the weight.
If he used a very heavy weight and the string above to a nearly frictionless pin, the pendulum would swing so slowly that it would seem to shift direction as the Earth moved away.
Foucault's pendulum revolves at the same speed as the Earth's rotation when they align at the poles. These axes are perpendicular to each other everywhere on the equator, therefore the pendulum is completely unaffected by the Earth's spin.
The first scientific proof of the Earth's rotation on its axis was the rotation of the plane of swing of Foucault's pendulums. There is relative motion between them as the Earth spins beneath a Foucault pendulum that swings back and forth in a plane.
To know more about Foucault pendulum:
https://brainly.com/question/27859949
#SPJ4
the rod has a diameter of 40 mm. if it is subjected to the force system shown, determine the stress components that act at point a, and show the results on a volume element located at this point
In this case, we are given that the rod is subjected to the force system shown in the figure. There is a vertical force F acting on the rod at point A, as well as a horizontal force P. The rod is also subjected to a moment M about the z-axis.
To determine the stress components that act at point A, we need to consider the forces that are acting on a small volume element located at this point.
The stress on a volume element is defined as the force acting on the element per unit area. The stress components at a point can be represented by a stress tensor, which is a 3x3 matrix with nine elements. The diagonal elements of the stress tensor represent the normal stress components, while the off-diagonal elements represent the shear stress components.
To determine the stress components at point A, we need to consider how these forces are distributed over the surface of the volume element. The normal stress components can be found by considering the forces acting perpendicular to the surface of the element. The shear stress components can be found by considering the forces acting tangent to the surface of the element.
For example, the normal stress component in the x-direction at point A can be found by considering the force F acting perpendicular to the surface of the element in the y-direction. The normal stress component in the y-direction at point A can be found by considering the force P acting perpendicular to the surface of the element in the x-direction. The shear stress component in the XY-plane at point A can be found by considering the moment M acting tangent to the surface of the element.
To determine the specific values of the stress components, we would need to know the dimensions of the volume element, as well as the magnitudes of the forces and moments acting on the rod. With this information, we can use the equations of statics to solve for the stress components at point A.
Learn more about stress at
https://brainly.com/question/29562047?referrer=searchResults
#SPJ4
A potato falling vertically downward is struck by a dart that is traveling vertically upward, as shown above. The dart and potato then collide, stick together, and continue moving after the collision.The weight of the dart is W. Which of the following claims best describes the magnitude of the net force on the dart immediately before, during, and immediately after the collision with the potato?
Option B is Correct
The velocity of the center of mass remains constant before the collision, when they collide there is a slight decrease in kinetic energy of the system since the collision is inelastic, resulting in a slight decrease of velocity, afterwards the velocity is constant again.
Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity. Both magnitude and direction are required to define it. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). For example, " meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.
Learn more about velocity here : https://brainly.com/question/24445340
#SPJ4
A roller coaster starts from rest at point A. If you ignore friction and take the zero of potential energy to be at C, A) the kinetic energy of the coaster at D will be equal to its potential energy at A. B) the kinetic energy of the coaster at E will be equal to its potential energy at C. C) the kinetic energy of the coaster at C will be equal to its potential energy at A. D) the kinetic energy of the coaster at B will be equal to its potential energy at C E) None of these is correct. 13. Two objects are sliding at the same speed across a wooden surface. The coefficient of kinetic friction between the first object and the surface is twice that between the second object and the surface. The distance traveled by the first object before it stops is S. The distance traveled by the second object is A) impossible to determine without knowing the masses involved. B) 28 C) S/2 D) S E) 4S 14. A person of weight w is in an upward-moving elevator when the cable suddenly breaks. What is the person's weight measured in the elevator immediately after the elevator starts to fall? A) w B) greater than w C) less than w D) 9.81w E) zero A force F produces an acceleration a on an object of mass m. A force 3F is exerted on a second object, and an acceleration 8a results. What is the mass of the second object? A) 3m B) 9m C) 24m D) (3/8)m E) (8/3)m 15.
A roller coaster starts from rest at point is option C) the kinetic energy of the coaster at C will be equal to its potential energy at A.
Since Two objects are sliding at the same speed across a wooden surface. The distance traveled by the second object is option B) 2S
A person's weight measured in the elevator immediately after the elevator starts to fall is option E) zero A force F produces an acceleration a on an object of mass m.
The mass of the second object is option D) (3/8)m.
What happens when kinetic energy is equal to potential energy?The amount of kinetic energy change and the amount of potential energy change are identical in all physical processes that take place in closed systems. When the kinetic energy rises, the potential energy falls, and vice versa.
Wave speed is the number of meters a wave travels in a second, or the distance a wave travels in a particular amount of time. Equation Speed = Wavelength x Frequency describes how wave speed relates to wave wavelength and wave frequency.
Therefore, When wavelength and frequency are known potential energy stored energy that depends on the relative positions of different components of a system may be utilized to compute wave speed—this equation can be used to determine wave speed. When stretched or squeezed, a spring has higher potential energy.
Learn more about force from
https://brainly.com/question/14543691
#SPJ1
A choo choo train has a mass of 5 x 10^6 kg. Its speed is 20 m/s. The emergency break has a net
braking force of 8.1 x 10^6 N. A) what is the speed 5s later? B) How far has it traveled in this time?
a. The speed of the train after 5s is 28.1m/s
b. The distance traveled by the train after 5s is 120m
What is impulse?The impulse of an object is the rate of change of momentum. Momentum is the product of mass of an object and it's velocity.
therefore the change in momentum = mv - mu.
Impulse is also the product of the force and time.
therefore impulse = ft
ft = mv -mu
8.1×10⁶ ×5 = 5×10⁶(v- u)
divide both sides by 5×10⁶
v-u = 8.1
v-20 = 8.1
v = 20+8.1 = 28.1m/s
therefore the speed of the train after 5s is 28.1m/s
from f = ma
a = (8.1×10⁶)/5×10⁶
a = 1.62m/s²
from s = ut+½at²
S = 20×5+½×1.6×25
S = 100+20
S = 120m
therefore the distance traveled by the train after 5s is 120m.
learn more about impulse from
https://brainly.com/question/229647
#SPJ1
A diffraction grating is illuminated simultaneously with red light of wavelength 690 nm and light of an unknown wavelength. The fifth-order maximum of the unknown wavelength exactly overlaps the fourth-order maximum of the red light. What is the unknown wavelength?
According to the given statement 414 nm is the value of the unknown wavelength.
What is wavelengths and frequency?The distance between two wave crests, which also applies to troughs, is known as the wavelength. Cycles per second (Hz), the number of vibrations that pass across a certain region in a second, is used to measure frequency (Hertz). The link between wavelength and frequency is discussed in this article.
Briefing:For third order maxima,
asinθ = mλ
asinθ = 3 * 690
The slit width in this instance is a, and the angular spacing is.
The fifth order maximum, meanwhile
asinθ = mλ
asinθ = 5λ
Solving as,
5λ = 3 * 690
λ = 414 nm
Therefore, 414 nm is the value of the unknown wavelength.
To know more about Wavelength visit:
https://brainly.com/question/13533093
#SPJ4
If two metal blocks of different masses slide freely down the same frictionless incline,
which one of the following is true?
A) They have equal accelerations
B) They have unequal accelerations, but the forces acting on them are equal.
C) The more massive block reaches the bottom first.
D) The less massive block reaches the bottom first.
E) None of these is correct.
If two metal blocks of different masses slide freely down the same frictionless incline, option a is correct.
Objects accelerate due to imbalanced forces. However, not every item accelerates at the same rate in the presence of the same imbalanced force. As a result, the speed and net force in the direction perpendicular to the plane must both be zero. Since the plane is assumed to be "frictionless," no force is applied to the block that is perpendicular to the surface by the plane. The acceleration is determined by multiplying the acceleration of gravity by the sine of the angle for a frictionless incline of angle degrees. The force of gravity is not parallel to the surface when there is an inclination. The normal force diminishes as the angle of the incline increases, which reduces the frictional force. You can increase the inclination until the thing barely starts to slip.
to know more about frictionless incline please visit.
https://brainly.com/question/22849887
#SPJ4
Which of the following is an important difference between the infinite square-well potential and the finite square-well potential?a. The number of energy levels is limited in the infinite square-well potential but not limited in the finite square-well potential.b. The infinite square-well potential utilizes Schrödinger's equation to describe particle motion while the finite square-well potential does not.c. The energy levels are quantized only in the finite square-well potential.d. Particles can exist in classically forbidden regions outside the finite square-well potential.e. Only the energy levels in the finite square-well potential depend on Planck's constant.
Particles can exist in classically forbidden regions outside the finite square-well potential.
The correct option is D.
What if Planck's constant was zero?In the absence of quantum effects, everything would be continuous, smooth, and completely predictable in the Newtonian sense. However, we may not be here to get bored with this if Planck's constant were 0.
What use does Planck's constant serve?At the atomic scale, the behavior of both particles and waves is described by Planck's constant. One of the factors that led to the creation of quantum mechanics is Planck's constant. It was a surprise when those boundaries also turned to represent the limits where known rules of physics applied since the Planck scaled was developed as an universal set of units.
To know more about Planck constant visit:
https://brainly.com/question/2289138
#SPJ4
A gymnast uses a flexible stick to jump over the bar. Which of the following
describes energy changes when he reaches the highest point of his jump?
When the gymnast starts to jump his potential energy starts to convert to kinetic energy. But when he reaches the maximum height and stop there for seconds, potential energy regains. Thus, option C is correct.
What is potential energy?Potential energy of an object is the energy stored in it by virtue of its position. Potential energy increases with increases in mass and height which is clear from the equation for potential energy
p = mgh
Kinetic energy is generated by motion of the object. Thus, only a moving body attains a kinetic energy. Kinetic energy depends on the mass and velocity of the object.
Here, the gymnast gains a kinetic energy when he starts to jump from rest. But, when he reaches the maximum height where the speed slows down, his kinetic energy converts to potential energy. Thus, option C is correct.
To find more on kinetic energy, refer here:
https://brainly.com/question/26472013
#SPJ1
#SPJ1
Your question is incomplete. But your complete question probably was:
A gymnast uses a flexible stick to jump over the bar. Which of the following
describes energy changes when he reaches the highest point of his jump?
A) kinetic- potential- potential
B) kinetic- potential- kinetic
C) potential - kinetic – potential
D) potential- potential- kinetic
An oscillator creates periodic waves on two strings made ofthe same material. The tension is the same in both strings.If the strings have different thicknesses,which of the following parameters, if any, will be different in thetwo strings?Check all that apply.wave frequencywave speedwavelengthnone of the aboveIf the strings have the same thickness butdifferent lengths, which of the following parameters, if any, willbe different in the two strings?Check all that apply.wave frequencywave speedwavelengthnone of the above
Wavelength of the following parameters, if any, will be different in the two strings.
What is wavelengths and frequency?The distance between two wave crests, which also applies to troughs, is known as the wavelength. Cycles per second (Hz), a unit of measurement for frequency, is the number of vibrations that pass through a certain space in a second (Hertz). The link between frequency and wavelength is discussed in this article.
Briefing:The formula for the wave's speed on the string is
[tex]$v=\sqrt{\frac{T}{\mu}}$[/tex]
Here, mu stands for mass per unit of length and T for string tension.
The mass per unit length varies depending on the thickness. As a result, the wave speed varies between the two strings.
The oscillator determines the frequency of the oscillations. As a result, using the same oscillator, the frequency is the same for the two strings.
In terms of frequency and speed,
f= γλ
λ= f/γ
The wavelength of the waves varies as the speeds vary since the frequency is constant.
To know more about Wavelength visit:
https://brainly.com/question/7143261
#SPJ4
a) Calculate the ratios of longitudinal modulus of the composite to the matrix modulus for glass/epoxy and carbon /epoxy composites with 10% and 50% fibers by volume. Elastic modules of glass fibers, carbon fibers and epoxy resin are 70, 350, and 3.5 GPa, respectively.
b) Discuss what is the effect of the fibers in the elastic modulus of the composite in the longitudinal direction (2-3 phrases.)
carbon fibers and epoxy resin have respective tensile strengths of 70, 350, and 3.5 GPa. According to these estimates, fibers are particularly effective at increasing the composite modulus in the longitudinal direction.
(a) [tex]V_{f}[/tex]=[tex]A_{f} /A_{c}[/tex] ,[tex]V_{m} =A_{m}/A_{c}[/tex]
The elastic modulus of the composite is given by
E[tex]_{c}[/tex]=[tex]E_{f} V_{f} +E_{m} V_{m}[/tex]
E[tex]_{c}[/tex]/E[tex]_{m}[/tex]=([tex]E_{f} /E_{m}[/tex] - 1) [tex]V_{f}[/tex]+1
the calculation will give the following result
System([tex]E_{f} /E_{m}[/tex]) [tex]V_{f}[/tex]=10% [tex]V_{f}[/tex]=50%
Glass – epoxy(20) 2.9 10.5
Carbon epoxy (100) 10.9 50.5
(b) 50 It has been found that as the volume fraction of fiber grows by a factor of 5, the ratio (E[tex]_{c}[/tex]/E[tex]_{m}[/tex]) similarly increases by a corresponding amount (3.62 for glass epoxy and 4:63 for carbon epoxy )
Additionally, as the fiber modulus increases by a factor of 5, the ratio of (E[tex]_{c}[/tex]/E[tex]_{m}[/tex]) increases by a comparable factor (3.7 at [tex]V_{f}[/tex]=10% and 4.81 at [tex]V_{f}[/tex] =50%). These calculations demonstrate that fibers are particularly successful in raising the composite modulus in the longitudinal direction.
Learn more about fibers here:
https://brainly.com/question/19947261
#SPJ4
a 1.8-cmcm-tall object is 22 cmcm to the left of a lens with a focal length of 11 cmcm . a second lens with a focal length of -5 cmcm is 37 cmcm to the right of the first lens.
A lens with an 11 cm focal length is 22 cm to the left of a 1.8 cm tall object. The image's height has decreased by 0.25 pixels when a second lens with a focal length of -5cm is placed 37cm to the right of the first lens.
Let's determine the distance at which the image is formed from the first lens since the image of the first lens serves as a virtual object for the second lens. Use the lens manufacturer's formula:
1/o + 1/i = 1/f, where I am the image distance and o is the object distance,
1/i = 1/f - 1/o = 1/(11cm) - 1/(22cm) = 0.045 1/cm, so
i = 22cm
the virtual object for the second lens is left at a distance of 37 cm - 22 cm, or 15 cm, from the second lens. Utilize the lens manufacturer's formula once more:
1/i = 1/f - 1/o (This time, the object distance is the separation between the second lens and the virtual object.)
1/i = 1/(-5cm) - 1/(15cm) = -0.26 1/cm, so
i = -15/4cm away from the second lens.
The sum of the two magnifications from the two lenses is the total magnification: m = m1m2, where m = -i/o, so
m = (-22 cm/22 cm)( 15/4cm/15cm) = -0.25, Consequently, the image's height is 0.25 pixels shorter than it was before.
It is the inverse of the system's optical power that determines how strongly an optical system diverges or converges light: the focal length. The convergence or divergence of light is indicated by a positive focal length, whilst the opposite is true for a negative focal length.
Learn more about focal length here:
https://brainly.com/question/15365254
#SPJ4
Given that A + B = 0, (a) how does the magnitude of B compare with the magnitude of A? (b) How does the direction of B compare with the direction of A?
If A + B = 0, then the magnitude of B is equal to the magnitude of A. This is because the magnitude of a vector is simply its size or length, and if two vectors add up to zero, then their magnitudes must be equal.
As for the direction of B, it is the opposite of the direction of A. This is because if two vectors are equal in magnitude and opposite in direction, their sum will be zero. For example, if A is a vector pointing to the right and B is a vector pointing to the left, their sum will be zero. Similarly, if A is a vector pointing upwards and B is a vector pointing downwards, their sum will also be zero.
In summary, if A + B = 0, then the magnitude of B is equal to the magnitude of A, and the direction of B is opposite to the direction of A.
Learn more from here:
https://brainly.com/question/18660017
what is the amplitude and period of this wave? I WILL MARK BRAINLIEST!
Answer:
amplitude:1m
period:10s
Explanation:
a cellist tunes the c-string of her instrument to a fundamental frequency of 65.4 hz. the vibrating portion of the string is 0.615 m long and has a mass of 14.8 g .
(A) With 268.94 N tension must she stretch it.
26% increase in tension is needed to increase the frequency from 65.4 Hz to 73.4 Hz, corresponding to a rise in pitch from C to D.
Part (A)
Fundamental frequency =f0= 65.4 Hz.
The length of the vibrating portion of the string = l = 0.615 m
Mass= m = 14.8 g
We know, [tex]f_0 = \frac{v}{2l}[/tex]
So, the value of v will be 65.4*2*0.615 = 80.442 m/s
As, We know,
[tex]T=\frac{v^2}{\frac{m}{l}}[/tex]
So, the value of tension will be: [tex]\frac{80.442^2}{\frac{14.8}{0.615}}=\frac{6470.91}{24.06}=268.94\:N[/tex]
Part (B)
Fundamental frequency =f0= 73.4 Hz.
The length of the vibrating portion of the string = l = 0.615 m
Mass= m = 14.8 g
We know, [tex]f_0 = \frac{v}{2l}[/tex]
So, the value of v will be 73.4*2*0.615 = 90.282 m/s
As, We know,
[tex]T=\frac{v^2}{\frac{m}{l}}[/tex]
So, the value of tension will be: [tex]\frac{90.282^2}{\frac{14.8}{0.615}}=\frac{8150.8395}{24.06}=338.77\:N[/tex]
So, the percentage increase in tension will be [tex]\frac{338.77-268.94}{268.94}\times 100\%=25.96\% \approx 26\%[/tex]
For more questions on Fundamental frequency https://brainly.com/question/1967686
#SPJ4
The complete question should be:
a cellist tunes the c-string of her instrument to a fundamental frequency of 65.4 hz. the vibrating portion of the string is 0.615 m long and has a mass of 14.8 g .
Part A: With what tension must she stretch it?
Part B
What percent increase in tension is needed to increase the frequency from 65.4 Hz to 73.4 Hz, corresponding to a rise in pitch from C to D?
A 20-cm-diameter circular cover is placed over a 10-cm-diameter hole that leads into an evacuated chamber. The pressure in the chamber is 16kPa. How much force is required to pull the cover off?
A 10-cm-wide opening leading into an evacuated chamber is covered with a circular 20-cm-diameter lid. It exerts a 638 N force.
What is the force is required to pull the cover off ?20 kPa is the chamber's pressure. The formula for calculating the required force is Force = difference in pressure x area of plate.
[tex]$F=\left(P_2-P_1\right) \times A \ldots$$F=\left(P_2-P_1\right) \times \pi r^2$$P_1=20000 \mathrm{~Pa}$$P_2=101325 \mathrm{~Pa}$$r=0.05 \mathrm{~m}$[/tex]
Now adjust equation (1) to reflect the new values, and calculate
[tex]$F=(101325-20000) \times 3.14 \times(0.05)^2=638 \mathrm{~N}$[/tex]
638 N of force is required.
The numbers from each of these observations and calculations should be entered into the primary equation, F = pA, where F is the piston force (F) in newtons (N), p is the gauge pressure, and A is the complete bore area.
An object's speed, direction of motion, or shape can all be altered by applying a force to it. A measurement of the force operating on a region is called pressure. The formula pressure = force / area can be used to calculate pressure. A force will therefore exert higher pressure while working across a smaller region.
To learn more about force of chamber refer to :
https://brainly.com/question/12785175
#SPJ4
Which of the following statements correctly shows the relationship between the ideas of climate change and global warming?Climate change is a logical outcome of global warming
The correct statement for the above question is the Climate change is a logical outcome of global warming.
"Global warming" refers to the observed, century-scale rise in the average temperature of the Earth and its effects. Heat is absorbed and radiated by the build-up of greenhouse gases in the earth's atmosphere, including ozone, carbon dioxide, methane, and nitrous oxide. It is possible to alter the amounts of greenhouse gases in the atmosphere to either trap or release more solar heat. Climate change refers to significant, ongoing changes in the global climate. The world's climate is influenced by the sun, the earth, the oceans, wind, rain, snow, forests, deserts, savannas, and human activity. For instance, the yearly temperature changes, rainfall, and other characteristics of New York's climate can be used to describe it. The "average" of the climates in various places, however, is less extreme than the global climate.
To know more about climate visit:
https://brainly.com/question/10440860
#SPJ4
There are two forces on the 2.00kg box in the overhead view of Fig., but only one is shown. For F 1 =20.0N,a=12.0m/s 2, and θ=30.0 o, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) an angle relative to the positive direction of the x axis.
The unit vector of the second force is [tex]\frac{-32i-12.3^1/2}{38.16}[/tex], and its magnitude is 38.16N and the angle is 147 with a positive x-axis.
According to the question
a= 12m/s^2
m=2kg
F=24N
Fx= Fsin30 = 24.1/2=12
= 12(-i)
Fy= Fcos30 = 12√3N
= 12√3(-j)
F=-12i-12√3j
F1=20j, F2=F-F1= -32i-12√3j
F2=38.16N
(a) Unit vector = [tex]\frac{F2}{|F2|}[/tex] =[tex]\frac{-32i-12.3^1/2}{38.16}[/tex]
(b)Magnitude= 38.16N
(c) Angle= [tex]tan^{-1}[/tex][tex]\frac{y}{x}[/tex] = 33 means 33 with - x axis. so with the + x-axis it will be 180-33= 147
Therefore
The unit vector of the second force is [tex]\frac{-32i-12.3^1/2}{38.16}[/tex] and its magnitude is 38.16N and the angle is 147 with a positive x-axis
Learn more about forces:
https://brainly.com/question/25239010
#SPJ4
A penguin slides on ice.
A. Newton's First Law of Motion
B. Newton's Second Law of Motion
C. Newton's Third Law of Motion
Answer:
Newton's first law: An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force.
a 1.0kg block and a 2.0 kg block are pressed together and both are on a horizontal fricitionless surface with a compressed light spring between them concerning the states of the two blocks after they are released and detached from the spring which of the following statements is correct
The spring and pan have very little mass. The mass executes a SHM when it is lightly squeezed and then released.
Forces, location, velocity, and energy—both kinetic and potential energy—are some examples of these quantities. Hoare's Rule. Energy conservation: When the compressed spring returns to its natural length, all of the energy that was stored in it is transformed into kinetic energy. The block is propelled along a horizontal surface as the spring is let go. Friction and the spring's bulk can be disregarded. Between two blocks with masses of 1 kg and 2 kg that are lying on a smooth horizontal surface is a compressed elastic spring. The block is freed from rest once the spring has been compressed by 2.0 cm.
to know more about spring please visit.
https://brainly.com/question/14159361
#SPJ4
X ft See the framing plan above. If the image doesn't display, click this link or this link. Assume that There are two girders and 5 beams Each beam spans between two girders (i.e., from grid line 1 to 3) There are four columns (at A/1, A/3, E/1 and E/3) What is the tributary area for a rim joist? (Although not explicitly shown, assume that there are joists directly above the girders. The dimensions of the building are as follows: X = 96 ft . Y = 36 ft A B © D (E) Girder 1 Joist EQ. (2 Y ft EQ Girder EQ. EQ. EQ EQ. X ft
There are two girders and 5 beams Each beam spans between two girders. The tributary area of rim joist is 864ft²
Length of the rim joist = Y ft = 36ft
Length of each bay out of 4 = X/4 = 96/4 = 24ft
Tributary width of rim joist is half on each bay to its side
Tw = 24/2 + 24/2 = 24
Tributary area Ta = tw × length
Ta = 24 × 36 = 864ft²
The floor or roof area (in plan) that results in loading on a certain structural element is known as the tributary area. In each direction, name the adjacent column.
the distance between the two, measured.
multiplying by two the distance
From here, create a perpendicular line.
Repeat until a bounding polygon appears for each gridline that is close by.
A beam's tributary area is equal to its length times the addition of half its space to each adjacent girder.
The square footage of the deck surface area supported by one post is known as the tributary area. Depending on how the deck is set up, this can differ for each post.
Learn more about beams here:
https://brainly.com/question/4503557
#SPJ4
Using the loop rule and deriving the differential equation for an LC circuit find the current (sign included) through the inductor at the instant t = 2.2 s if L = 3.7 H, C = 5.0 F. The initial charge at the capacitor is Qo = 3.2 C and the initial current through the inductor is lo = 0. = Number i Units
Initial current via the inductor is lo = 0, and initial charge at the capacitor is Q-o = 3.2 C. The only two devices allowed by the loop rule.
Find the current (sign included) flowing through the inductor at the point t = 2.2 seconds using the loop rule and the differential equation derived for an LC circuit. Derive the differential equation for an LC circuit using the loop rule. To improve comprehension of complex concepts in electrical circuit analysis, such as inductance, capacitance, and reactance, By building up electric charges on two nearby surfaces, a capacitor is a device that stores electrical energy in an electric field. An RL circuit is one with resistance and self-inductance, and an RL circuit with a resistor.
to know more about capacitor please visit.
https://brainly.com/question/29301875
#SPJ4
A disk of mass M is spinning freely at 4.91 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating.
(a) What is the angular speed of the new system (in rad/s)? rad/s
(b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s). rad/s
(a) The angular speed of the new system is 2.455 rad/s.
(b) The angular speed of the new system is 1.64 rad/s.
(a) The Angular Momentum Conservation Principle is observed since there are no outside forces acting on either disk.The fact that the axes of rotation of each disk coincide allows for the principle to be reduced to its scalar version. The ratio of the inertial moment to the angular speed determines the angular momentum's size. The moment of inertia doubles and the angular speed is cut in half as soon as both disks start to revolve.
It is given by, I ω₀ = 2* I * ωf
Where,
I - Moment of inertia of a disk, measured in kilogram-square meter
ω₀ - Initial angular speed, measured in radians per second
ωf - Final angular speed, measured in radians per second
The expression for relating final angular speed to initial angular speed is,
ωf = 1/2 * ω₀
Given that, ω₀ = 4.91 rad/s
The new system's angular speed is,
ωf = 1/2 * 4.91 = 2.455 rad/s
(b) If third such disk is dropped on the first two, the expression on angular velocity becomes,
I ω₀ = 3* I * ωf
ωf = 1/3* ω₀ = 1/3* 4.91 = 1.64 rad/s.
To know more about angular speed:
https://brainly.com/question/16902383
#SPJ4
A triathlon athlete swims at an average rate 2.4 miles per hour, and bikes at an average rate of 16.1 miles per hour. At the end of one training session, she has swum and biked more than 20 miles in total.
The inequality and this graph represent the relationship between the hours of swimming, , the hours of biking, , and the total distance the athlete could have traveled in miles. Graph of an inequality. Hours of biking. Hours of swimming.
Mai said, "I'm not sure the graph is right. For example, the point is in the shaded region, but it's not realistic for an athlete to swim for 10 hours and bike for 3 hours in a training session! I think triathlon athletes generally train for no more than 2 hours a day."
Write an inequality to represent Mai's last statement. Graph the solution set to your inequality. Determine a possible combination of swimming and biking times that meet both the distance and the time constraints in this situation.
Elena is considering buying bracelets and necklaces as gifts for her friends. Bracelets cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts. Elena needs at least 7 gift items.
This graph represents the inequality , which describes the cost constraint in this situation.
Let represent the number of bracelets and the number of necklaces.
Graph of inequality. Number of necklaces. Number of bracelets.
Write an inequality that represents the number of gift items that Elena needs.
On the same coordinate plane, graph the solution set to the inequality you wrote.
Use the graphs to find at least two possible combinations of bracelets and necklaces Elena could buy.
Explain how the graphs show that the combination of 2 bracelets and 5 necklaces meet one constraint in the situation but not the other constraint.
Combination of swimming and biking times that meets distance and the time constraints in this situation is s + b ≤ 2. An inequality that represents number of gift items that Elena needs is : 3b+5n≤30.
How is the inequality equation written?If athletes train for not more than 2 hours a day, then the sum of the hours training swimming 'a' and biking 'b' should be less than or equal to 2. Hence, we can write the following inequality:
s + b ≤ 2
Inequality that represents Mai's statement is:
s + b ≤ 2
Part 2:
It is given that , bracelets cost $3, necklaces cost $5 and she can spend not more than $30
Then the inequality that represents the number of gift items that Elena needs : 3b+5n≤30
To know more about inequality equation, refer
https://brainly.com/question/11234618
#SPJ1
find the amplitude, frequency, and period of motion for an object vibrating at the end of a horizontal spring if the equation for its position as a function of time is the following.
The amplitude is 0.25s.
Calculation:
Amplitude = A = 0.225 m
Angular frequency = w = 8π rad/s.
Frequency = f = w/2π = 8π/2πHZ = 4 HZ
Time period = T = 1/f = (1/4)s = 0.25s.
The maximum displacement or distance traveled by a point on an oscillating body or shaft, measured from the equilibrium position. This corresponds to half the length of the vibration path. Amplitude difference between a rest position and maximum shaft deflection.
Frequency The number of waves passing a particular point per second. Duration How long it takes for a wave cycle to complete. Sound wave amplitude is a measure of wave height. The amplitude of a sound wave can be defined as the magnitude or loudness of the maximum displacement from the average position of the vibrating particles in the medium when the sound was produced.
Learn more about The amplitude here:- https://brainly.com/question/3613222
#SPJ4
A 2.80 mH toroidal solenoid has an average radius of 5.40 cm and a cross-sectional area of {\:}2.20 cm^2 .
A.
How many coils does it have? In calculating the flux, assume that B is uniform across a cross section, neglect the variation of B with distance from the toroidal axis
B.
At what rate must the current through it change so that a potential difference of 2.40 V is developed across its ends?
(A) A toroidal solenoid has 1855 turns.
(B) The rate of current is across it is 1142.86 A/s.
(A) A solenoid is a machine made of a casing, a coil of wire, and a moving plunger. The plunger is drawn in by the magnetic field that forms around the coil when an electrical current is delivered. Simply put, a solenoid converts electrical energy into mechanical work.
Given,
Length l = 2πr = 2× π × 0.054 = 0.34 m
L = μ₀ N² A/l
Making N as subject, we have,
N = √[(L* l)/(μ₀ A)]
N = √[(2.8 * 10⁻³* 0.34)/(4π* 10⁻⁷* 2.2* 10⁻⁴)
⇒ √[(0.952* 10⁸)/27.65] = 10⁴ * √(0.952/27.65) = 1855
N= 1855 turns
B) V = L dl/dt
dl/dt = V/L = 2.4/(2.8* 10⁻³) = 857.14 A/s
To know more about solenoid:
https://brainly.com/question/29744081
#SPJ4
which of the following vectors best describes the path of the airplane? question 6 options: none of these
The following vectors best describes the path of the airplane Aniseed of the as plan is 528 [tex]\mathrm{mi} / \mathrm{hr}[/tex]
What is airplane?
A fixed-wing aircraft that is pushed forward by the thrust of a jet engine, propeller, or rocket engine is known as an aeroplane or aeroplane. There are many different sizes, forms, and wing arrangements for airplanes.
[tex]\text { bearing } 25^{\circ} \text { west of north }[/tex]
[tex]\text { Since } \quad 90^{\circ}+25^{\circ}=115^{\circ}[/tex]
[tex]\text { so path of the airplane is }[/tex]
[tex]\left.v=528 \cos \left(i 15^{\circ}\right) i+528 \sin \left(115^{\circ}\right)\right][/tex]
To learn more about airplane visit
https://brainly.com/question/17247837
#SPJ4
