According to the given statement 16.7kg is the mass of the sculpture.
What is a fundamental frequency in physics?The lowest frequency that could be produced by a particular instrument is known as the fundamental frequency. The fundamental frequency is also known as the instrument's first harmonic.
Briefing:Use the string's tautness' fundamental frequency as a formula.
f = (1/2L)*√(T/μ) .... (Eqn1)
Where
f= frequency in Hertz =80Hz
T = The string's tension equals Mg.
M is a symbol for the substance's mass (sculpture)=?
g= 9.8m/s^2
L= Length of the string=90cm=0.9m
μ= string length divided by mass gives the string's density.
mass of string =5g=0.005kg
L=0.9m
μ=0.005/0.9 = 0.0056kg/m
Using (Eqn1)
95= 1/(2*0.9) √(T/0.0056)
171= √(T/0.0056)
Square both sides
29241= T/0.0056
T= 163.74 N
Recall that T =Mg
163.74= M * 9.8
M=163.74/9.8
M= 16.7kg
Consequently, the sculpture weighs 16.7kg.
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Maddy tripped and accidentally threw her phone off the hollywood cliff at 5m/s. It landed 20 away from the base of the cliff. how high is the cliff then?
The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m
How do I determine the height of the cliff?To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:
Horizontal velocity (u) = 5 m/sHorizontal distance (s) = 20 mTime taken (t) =?s = ut
20 = 5 × t
Divide both sides by 5
t = 20 / 5
t = 4 s
Finally, we shall determine the height of the cliff. Details below:
Time taken (t) = 4 sAcceleration due to gravity (g) = 9.8 m/s²Height (h) = ?h = ½gt²
h = ½ × 9.8 × 4²
h = 4.9 × 16
h = 78.4 m
Thus, the height of the cliff is 78.4 m
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if betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons per second would it radiate?
if Betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons.
What is energy?
Energy, which is observable in the execution of labour as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics. It is a mechanically accepted quantity.
a )
Radius of the sun = .69645 x 10⁹ m .
600 times = 600 x .69645 x 10⁹ m
= 4.1787 x 10¹¹ m .
surface area A = 4π (4.1787 x 10¹¹)²
= 219.317 x 10²²
energy radiated E = σ A Τ⁴
= 5.67 x 10⁻⁸ x 219.317 x 10²² x (3000)⁴
= 100695 x 10²⁶ J
To know the wavelength of photon emitted
[tex]\begin{aligned}& \lambda_m T=b \\& \lambda_m=\frac{b}{T}\end{aligned}[/tex]
= 2.89777 x 10⁻³ / 3000
= 966 nm
= 1275 /966 eV
1.32 x 1.6 x 10⁻¹⁹ J
= 2.112 x 10⁻¹⁹ J
No of photons radiated = 100695 x 10²⁶ / 2.112 x 10⁻¹⁹
= 47677.5 x 10⁴⁵
= .476 x 10⁵⁰ .
b )
energy radiated by our sun per second
E₂ = σ A 5800⁴
energy radiated by Betelgeuse per second
E₁ = σ x 600²A x 3000⁴
E₁ / E₂ = σ x 600²A x 3000⁴ / σ A 5800⁴
= 36 X 10⁴ x 3⁴ x 10¹² / 58⁴ x 10⁸
= 25.76 x 10⁸ x 10⁻⁵
= 25760 times .
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Complete Question
The red giant Betelgeuse has a surface temperature of 3000 K and is 600 times the diameter of our sun. (If our sun were that large, we would be inside it!) Assume that it radiates like an ideal blackbody.a) If Betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons per second would it radiate?b) Find the ratio of the power radiated by Betelgeuse to the power radiated by our sun (at 5800 K).
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calculate the acceleration of a 250000- kgkg jumbo jet just before takeoff when the thrust on the aircraft is 80000 nn .
0.32 m/s² the acceleration of a 250000 kg jumbo jet just before takeoff when the thrust on the aircraft is 80000 nn.
What is a acceleration explain?Acceleration the rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed remains constant, motion on a circle accelerates because the directions is always shifting. Due to the fact that it includes both magnitude and direction, velocity is a quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.
Briefing:The formula may be used to determine an object's acceleration given its mass and the force acting on it.
a= f/m
f is the force
m is the mass
a = 80000 / 250000
a = 0.32 m/s²
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perceiving the color, motion, and form of a bird in flight illustrates a. parallel processing. %. opponent-process theory. q. trichromatic theory. d. serial processing. place theory.
parallel processing perceiving the color, motion, and form of a bird in flight illustrates.
Option a is correct.
The trichromatic hypothesis of colour perception is what?According to the trichromatic theory, our ability to perceive red, green, and blue hues as well as how they affect our cerebral activity are both explained by cones (Like a projection T.V.). Consequently, the precise colour we see is determined by the proportion of each colour to the others.
What foundation does trichromatic theory have?The three kinds of cone receptors that are responsible for colour vision are the foundation of the trichromatic hypothesis of colour vision. Beginning in the 18th century, this hypothesis has a very long history.
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9. a soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. what wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?
When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated = 5.32 *10^-7 m.
What is index of refraction?The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.
Given, t= 100nm= 100 * 10 ^-9 n= 1.33
ΔФ1 = λ/4
ΔФ2 = 2√2 t λ n/2 λ
=2 t n
=2 * 100 * 10 ^-9 * 1.33
= 2.66 *10^-7
2.66 *10^-7= λ/2
λ= 5.32 *10^-7 m.
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If E.M radiation has a frequency of 58,000,000 Hz, what is the wavelength?
Please include a formula to solve this!
5.16883548 m is the wavelength, if E.M radiation has a frequency of 58,000,000 Hz.
What is the relationship between frequency and wavelength ?When it comes to waves that are travelling, the frequency of a wave is associated with its wavelength and rate of motion. The number of full wave cycles that will finish in 1 second is larger for a quicker wave than for a slower wave. As a result, a wave's velocity plays a critical role in establishing its frequency.It's crucial to remember that two waves might have the same frequency even when their wavelengths are different. Assume Wave 1 has a wavelength of 1 cm, and Wave 2 has a wavelength of 2 cm. Wave 2 must move at a pace that is twice as fast as Wave 1 in order to have the same frequency. Formula of wavelength , λ = C/fGiven data :
Formula:
λ = C/f
Where,
λ (Lambda) = Wavelength in meters
c = Speed of Light (299,792,458 m/s)
f = Frequency
λ = 58,000,000 / 299,792,458 = 5.16883548
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a small ferryboat is 4.70 m wide and 6.50 m long. when a loaded truck pulls onto it, the boat sinks an additional 3.70 cm into the river. what is the weight of the truck?
According to the given statement 11303.5 kg is the weight of the truck.
What does physics' Archimedes principle entail?The buoyant force, which applies to a person at rest in a fluid, is proportional to the weight of the displaced water and pushes higher. The amount of fluid displaced when the body is fully immersed is equal to the body's volume.
Briefing:The Archimedean principle, which asserts that the hydrostatic push is equal to the weight of the desalinated liquid, is used to solve this task.
B = ρ g V
It is in balance with the push when the truck is at full weight, according to Newton's law of equilibrium.
Σ F = 0
B-W = 0
B = W
body weight
W = M g
the volume is
V = l to h
(l to h) = M g
M = l a h
we calculate
M = F = 1000 . 10. (4.70 x 6.50 x 0.037) = 11303.5 N
M = 11303.5 kg
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9) During a game of bowling, which of the following describe the ball's motion?(SELECT ALL ANSWERS THAT APPLY)
A) The ball is accelerated while it is pushed by the student's hand due to an
unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
C) The ball is accelerated while it is held in the student's hand due to balanced
Forces.
D) The ball does not change its motion as it rolls because of the balanced force
provided by friction.
E) The ball does not change its motion while it is held in the student's hand due to
balanced forces.
Answer:
The answer seems to be,
A) The ball is accelerated while it is pushed by the student's hand due to an
A) The ball is accelerated while it is pushed by the student's hand due to anunbalanced force.
(The answer might be wrong. )
how much energy (in j) must the shock absorbers of a 1180 kg car dissipate in order to damp a bounce that initially has a velocity of 0.760 m/s at the equilibrium position? assume the car returns to its original vertical position.
Since linear momentum equals m v, it varies at each bounce by the same amount, r = R. For instance, if a ball bounces eighty percent of its height each time, it loses twenty percent of its energy each time.
What is the equation for energy acquired or lost?An object's heat uptake or loss and the consequent temperature variations are related by the description above and the following equation (Q = m•C•T).
We now know that heat can occasionally be acquired or lost without a corresponding change in temperature. When the material is changing states, this is what happens.
The mass and speed of an item moving determine how much kinetic energy it has.
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when an apple is resting on top of a table, how many force pairs (number of pairs not individual forces)act on the apple?
The draw of the earth on the apple and the pull of the apple on the earth are forces operating in pairs (number of pairs, not individual forces).
What forces are at work while something is at rest?Since there is no net force acting on the item while it is resting , the downward force (weight) must counterbalance the force acting upward (normal force). Weight travels downhill, therefore it is always negative. For an item to be at rest, all of the forces must be equal to 0.
Can an object at rest be affected by a force?According to Newton's first rule, in order to have no net force exerted on an object, it must be at rest. Because if there is a total force acting on the object, it will change velocity. It will accelerate.
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Which of the following identifies a treatment method developed after the discovery of germ theory?
O Perform a bloodletting procedure.
O Recommend frequent hand washing.
O Induce the patient to vomit.
O Treat the infection with an antibiotic.
Recommend frequent hand washing are the treatment method developed after the discovery of germ theory.
What is the importance and benefits of proper handwashing?Handwashing reduces the spread of contagious diseases: Contaminated hands can transmit a variety of contagious illnesses from one person to another. These illnesses include respiratory infections like the flu, colds, and coronavirus (COVID-19), as well as gastrointestinal infections like salmonellosis.The simplest and most reliable approach we all have to stop the transmission of illnesses spread through touch is to practise good hygiene. Our hands are home to more than 150 different types of germs. Additionally, compared to men, women's hands often have more germs on them.Thus, eliminating germs by handwashing aids in the prevention of diarrhoea, respiratory infections, and maybe even skin and eye diseases.Learn more about steps of proper handwashing refer to :
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a pen placed 25cm from a concave spherical mirror produces a real image 20cm from the mirror. what is the focal length of the mirror
The focal length of the mirror is 50cm.
What is the focal length of the mirror?This refers to the distance from the lens or mirror to the focal point(F). It is measured in centimeters, cm or meters,m.
Formula for calculating the focal length of the mirror:
f = R * 2
Where,
f = focal length
R = the radius of curvature
What is a focal point (F)?
This refers to the point where by rays or waves meet after reflection or refraction, or the point from which diverging rays or waves appear to proceed.
In the question:
R = 25cm
f = R * 2
Substituting the values we have:
f = 25cm* 2
f = 50cm
Hence, the focal length of the mirror is 50cm.
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a typical tendon has a strength of 16000 pounds per square inch (psi). let's assume the achilles tendon is roughly rectangular in cross section with dimension of .4 inches x .2 inches. you can use this to calculate the force at which the achilles tendon will start to fail. at what force might the achilles tendon start to fail (in pounds, lb)?
An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.
How does science define force?That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.
Inertia or a force?Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.
Briefing:Area of tendon 0.4×0.2
=0.08 square inch.
0.08 square inch tendon =16000×0.08
F =1280 pound.
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Newton's third law states that any action will have a(n) _______ and ______ reaction.
Newton's third law states that any action will have a(n) equal and opposite reaction.
a) what are the s and n axes on an s-n diagram, and what does the region to the left and below the plotted line indicate?
N is the total number of full load cycles, and S is the stress change. The area to the left and below the line represents cyclic stress and cycle count combinations for which no fatigue failure is anticipated to happen.
What do you mean by cyclic stress?The distribution of forces, often known as stresses, under cyclic stress changes repeatedly throughout time. Imagine one of the huge wheels that propels an aerial lift, like a ski lift, as an illustration.
How do you define a cyclic stress-strain curve?The plot of every one of these numbers is known as the cyclic stress-strain curve. Following plastic deformation, the material behaves as described by the curve. Typically, this activity differs from the initial action that is assessed in a conventional tensile test.
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a 23-month-old child pulls a pan of hot water off the stove and spills it onto her chest and arms. her mother is right there when it happens. what should the mother do immediately?
When it happens mother should have to do cool the burn with tap water for 10 to 20 minutes immediately.
What are the steps to give first aid to a person with a large burn?Stop the burning process. Cool the burn. Supply pain relief.
Before the arrival of qualified emergency help, you should:
Remove restrictive items such as rings, watches, and bracelets.Use a fresh, cool bandage that is moist to cover the burnt area.Raise your hand so that it is higher than your heart.Is burning from boiling water serious?Pain and skin injury from wet heat or vapors can result from hot water scalding. Because the damaged tissues and cells are destroyed, this kind of burn can be deadly. The heat could even cause your body to go into shock. These burns can be fatal in more severe circumstances.
What should I do right away if I am burned?Cool the burn.
Place the affected area under cool (not cold) flowing water for about 10 minutes. Until the pain goes away, apply a cool, wet cloth to the burned area of the face. If you have a mouth burn from hot food or drink, place a piece of ice in your mouth for a while.
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a btu is defined as the amount of energy required to raise the temperature of one lb of water by one degree celsius group of answer choices true false
A BTU is defined as the amount of energy required to raise the temperature of one lb of water by one-degree celsius is False.
A British thermal unit is a measure of the amount of heat in a fuel or energy source. This is the amount of heat required to raise the temperature of 1 pound of liquid water by 1 degree Fahrenheit, the temperature at which water reaches its maximum density.
BTU is the amount of energy required to raise the temperature of 1 pound of water to 1 degree Fahrenheit above sea level. Technically, this measurement refers to the amount of energy required for this process when water is at its maximum density.
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example 10.11 discusses the conversion of spring potential energy to kinetic energy. how much energy is initially stored in the spring?
A spring-loaded to gun is used to launch a 10 plastic ball. The spring, which has a spring constant of 10 N/m, is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoot the ball back out horizontally.
Answer:
Below
Explanation:
ESE = 1/2 k d^2
= 1/2 * 10 N/m * .1 m = .5 J
A robot that is exploring the surface of Mars has a mass of 136 kg. If the gravitational force acting on the robot is 504.6 N downward, what is the free-fall acceleration on Mars?
The free-fall acceleration on Mars is 3.71 m/s²
What do you mean by free fall?A body is said to be in freefall when it only moves in relation to the Earth's gravity. An external force exerted on the ball will cause its motion to accelerate. Gravitational acceleration is another name for this rate of free fall.According to Newton's second law of motion, force (F) = mass (m) times acceleration, an item in free fall will move with an acceleration (a). We can use a little mathematics to determine the object's acceleration in terms of the net external force and the object's mass (a = F / m).Given :
gravitational force acting on the robot is 504.6 N
F= 504.6 N
mass of the robot = 136 kg
a = F/ m
= 504.6/ 136 =3.71 m/s²
The free-fall acceleration on Mars is 3.71 m/s²
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Visible light has a higher frequency than radio waves on the electromagnetic spectrum. How does the wavelength of visible light compare to radio waves?.
The wavelength of visible light compare to radio waves in the sense that visible light waves have a shorter wavelength than radio waves.
What is wavelength?The wavelength is described as the spatial period of a periodic wave which is the distance over which the wave's shape repeats.
Radio waves are electromagnetic waves that are produced by man with an oscillating circuit.
Radio waves are used in broadcasting, the waves used in television are those of shorter wavelength and those of radio are those of longer wavelength.
Longer radions are reflected in the ionosphere and can be detected in antennas which is located at great distances from the emitting source. The medium waves are less reflected in the ionosphere, due to their large wavelength they can overcome obstacles, so they can travel great distances.
It is known that the visible radiation waves have a wavelength between approximately 400 and 700 nanometers, the radio waves range from 1 centimeter to 1 km, so they have longer wavelengths than the waves belonging to the visible spectrum.
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100 POINTS IF YOU CAN ANSWER THIS
If the preferred vehicle is a sports car, what is the conditional distribution for females?
(Table Included)
A. 35.6%
B. 54.2%
C. 0.02%
D. 44.3%
E. 62.6%
Answer:44.3
Explanation:
based on this image alone, approximately how much of the galaxy's total mass is located within 5 kpc of the center, would you say?
The total mass of the galaxy within a radius of 5 kpc is approximately 3.25 billion solar masses.
A galaxy is a system of stars, remnants of stars, interstellar gas, dust, dark matter, bound together by gravity.
By using the equations of Newtonian mechanics, the total mass of the galaxy can be calculated by combining the mass of the stars, gas, dust, and dark matter within the 5 kpc radius.
The calculation can be made more accurate by adding in accurate estimates of the mass of the dark matter and other components of the galaxy.The total mass of a galaxy within a radius of 5 kpc can be calculated using the equation:
Mass = 2.3 x 10⁶ x (5 kpc)² x (1 solar mass/pc³)
Mass = 3.25 billion solar masses.
This calculation provided an approximate total mass for the galaxy, which is estimated to be 3.5 billion solar masses located within 5 kpc of the center.
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A 30.0-kg load is being held in place using massless wires in the ideal pulley arrangement shown in the figure. What is the magnitude of the force F?
A very light wire is used to hang a series of 8.0-kg bricks. This wire will break if the tension in it exceeds 450 N. The bricks are hung one below the other from a hook in the ceiling using this wire, as shown in the figure.
(a) How many whole bricks can be hung without breaking the wire?
(b) If you add one more brick to the number found in part (a), which string will break?
3. A force of 70N is applied to a 10kg box with a friction force of 30N opposing it's motion. The box starts
from rest and reaches a speed of 5m/s. Determine the distance over which the force acts on the box.
The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m
How do I determine the distance ?We'll begin by obtaining the acceleration of the box. Details below:
Force applied = 70 NForce of friction = 30 NNet force = Force applied - Force of friction = 70 - 30 = 40 N Mass of box = 10 KgAcceleration (a) =?Net force = mass × acceleration
40 = 10 × acceleration
Divide both sides by 10
Acceleration = 40 / 10
Acceleration = 4 m/s²
Finally, we shall determine the distance. Details below
Initial velocity (u) = 0 m/sFinal velocity (v) = 5 m/s Acceleration(a) = 4 m/s²Distance (s) =?v² = u² + 2as
5² = 0² + (2 × 4 × s)
25 = 0 + 8s
25 = 8s
Divide both side by 8
s = 25 / 8
s = 3.125 m
Thus, we can conclude that the distance covered is 3.125 m
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what was the value of the scale factor a when the dark energy density became equal to the matter density? show your work, please.
The parameter of the dark energy equation of state is viewed as an arbitrary constant with a value falling between the range $w in [-1.5, -0.5]$, the upper and lower bounds of which are determined by recent measurements. We get scale factor approximations with better than 1% accuracy.
What's density in science?Mass of a solid substance per unit volume. The equation for density is d = M/V, where d represents density, M is mass, and V is volume. Density is often measured in grammes per cubic centimetre. Its mass per unit of volume is a measure of a substance's density. Although the sign can also represent the Latin letter D, it is most frequently used to represent density. Mass divided by volume is the formula for density in mathematics: displaystyle rho = frac mV. where V is the volume, is the density, and m is the mass.
How does density work?How much mass there is in a specific volume or area is determined by its density. The formula for determining a substance's density is to divide its mass by its volume.
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one cannot peer all the way back and directly observe the big bang because the universe's density was so low. true false
True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.
One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.
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what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm. 1900 n 150 n 15 n 4.1e 06 n 74 n
The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is 147.2 N .
The Pascal's Law states that the relation between the pressure , force and area is given as :
Pressure = Force/Area ;
given that the diameter of the master cylinder is = 1.93 cm ;
so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;
the diameter of slave cylinder is = 24.9 cm ;
the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;
Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²
Area of the master cylinder (A₂) = π(0.00965)² = 0.000292 m² ;
given mass of the car = 2500 Kg ,
the force exerted will be : F = m*a
F₁ = 2500*9.8 = 24500 N ;
F₁/A₁ = F₂/A₂
So , 24500/0.0486 = F₂/0.000292
F₂ = (24500/0.0486)×0.000292
F₂ = 147.2 N
Therefore , the force exerted on the master cylinder is 147.2 N .
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two parakeets sit on a swing with their combined center of mass 16.0 cm below the pivot. at what frequency (in hz) do they swing?
The two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.
How to calculate frequency of swing?Given the data in the question
Length of pendulum; L=16.0cm =0.16m
Frequency; f=
Using the simple pendulum equation of time:
T2π = √L/9 -------let this be equation 1
Where T is the period of time, L is the length of the pendulum and g is the acceleration due to gravity(9.8m/s² ).
Also formula for Frequency:
f=1/T ------------let this be equation 2
Lets substitute equation 1 into equation 2
f = 1/2π√L/9
f = 1/2π√9/L
We substitute or values into the equation
f=1/2π√[9.8/0.16]
f=1/2π√[57.647-2]
f=1/2π*7.59256s
f=1.21 hZ
Therefore, the two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.
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the mass of an electron is 9.10939 x 10-31 kg. calculate the uncertainty in position if the velocity is 100.0 mi/h 1.0 %. ( 1 mi
The uncertainty in position if the velocity is 100.0 mi/h 1.0 % is 5.19 x 10-36 m.
What is velocity?Velocity is a vector quantity that describes the rate and direction of an object's motion. It is typically expressed as the magnitude of the speed of an object in a given direction. Velocity can be determined by measuring the displacement of an object over a certain amount of time. It is an important concept in physics, as it is used to describe the motion of objects. Velocity is closely related to other physical quantities such as acceleration, momentum, and force.
The uncertainty in position can be determined using Heisenberg's Uncertainty Principle. This states that the product of the uncertainty in position and the uncertainty in momentum must be greater than or equal to the Planck constant (h) divided by 4π. The momentum of the electron is equal to its mass multiplied by its velocity. Thus, the uncertainty in position is equal to (h)/(4πmv), where m is the mass of the electron and v is the velocity. In this case, this would be equal to
(6.626 x 10-34 Js)/(4π x 9.10939 x 10-31 kg x (100.0 mi/h x 1609.34 m/mi))
=5.19 x 10-36 m.
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what is the effective spring constant k of the two-spring system? express the effective spring constant in terms of k 1 and k 2 .
The Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex] for a system of 2 springs with spring constant k1 and k2.
What is Spring Constant ?The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring exerts a force F = -kx in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length.
Spring constants are available in plural (physics) a quality of a spring that is determined by the force acting on the spring to the displacement it produces.
K stands for the proportionality constant, commonly referred to as the "spring constant." In layman's words, stiffness and strength are shown by the k variable in Hooke's law (F = -kx). An item requires more force to be stretched to a specific length the greater the value of k.
Let the force actiong be F N
then , if k1 is the spring constant of spring 1
F = x1 * k1
or, x1 = F/k1.
Similarly for spring 2
x2 = F/k2
Now x1 + x2 = F (1/k1 + 1/k2)
or effective displacement
X= [tex]F(\frac{1}{k1} + \frac{1}{k2} )[/tex]
or, F = [tex]X * (\frac{k1k2}{k1 + k2} )[/tex]
So the Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex].
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