"Rotating wheel" is meant to indcate that the wheel is already rotating at the start. Denote the initial angular velocity by ω₀. Then the angular displacement θ at time t is
θ = ω₀t + 1/2 αt ²
while the angular velocity ω is
ω = ω₀ + αt
It takes 5 s for the wheel to rotate 38 times, or turn a total of (2π rad/rev) (38 rev) = 76π rad, as well as to reach an angular velocity of 79 rad/s, so that
76π rad = ω₀ (5 s) + 1/2 α (5 s)²
79 rad/s = ω₀ + α (5 s)
Solve the second equation for ω₀ and substitute into the first equation, then solve for α :
ω₀ = 79 rad/s - α (5 s)
==> 76π rad = (79 rad/s - α (5 s)) (5 s) + 1/2 α (5 s)²
==> 76π rad = (79 rad/s) (5 s) - 1/2 α (5 s)²
==> 1/2 α (5 s)² = (79 rad/s) (5 s) - 76π rad
==> α = ((79 rad/s) (5 s) - 76π rad) / (1/2 (5 s)²)
==> α ≈ 12.5 rad/s²
Calculate the conductivity of the wire having length 10m , radius 20mm and resistance 2.4umor
We know
Conductivity=Length×Radius×Resistance[tex]\\ \sf\longmapsto Conductivity=10m\times 20m\times 2.4[/tex]
[tex]\\ \sf\longmapsto Conductivity=400\Omega m[/tex]
A wire, 20m long, is heated from a temperature of 5°C to 55°C. If the change in length is 0.020m, calculate the linear expansivity of the wire.
Answer:
0.01998⁰C;¹
Explanation:
you can see all steps in photo
Three capacitors 2uf, 5uf and 7uf are connected in series what is their equivalent capacitance
Answer:
C eq = .96uF
Explanation:
A mother is pulling a sled at constant velocity by means of a rope at 37°. The tension on the rope is 120 N. Mass of children plus sled is 55 kg. The mother has a mass of 61 kg.
a) Draw FBD for the sled with the kids as one object
b) Draw FBD for the mother
c) Find the normal force on the sled and on the mother
d) Find the kinetic friction acting on the sled and the static friction acting on the mother
e) Find the coefficient of kinetic friction for the sled
Answer:
Please find the complete solution in the attached file.
Explanation:
A basketball is shot by a player at a height of 2.0 m. The initial angle
was 53° above horizontal. At the highest point the ball was travelling 6
m/s. If he scored (the ball went through the rim that is 3.00 m above the
ground), what was the player’s horizontal distance from the basket?
Answer:
The answer is "8.28 m".
Explanation:
[tex]\to u \cos 53^{\circ}=6 \ \text{therefore the horizontal velocity is constant alaways}\\\\\therefore[/tex]
[tex]u= \frac{6 \times 5}{3}= \frac{30}{3}= 10\ \frac{m}{s}\\\\[/tex]
In the projectfile when vertical displacement is 1 then 5 m comes at farther sides
Using
[tex]S=ut-\frac{1}{2} gt^2\\\\1=u\sin 53^{\circ}\times t-5t^2\\\\1=8t-5t^2\\\\5t^2-8t+1=0\\\\ t=\frac{8\pm \sqrt{64-20}}{10} \\\\=\frac{8\pm 2\sqrt{11}}{10} \\\\t_2=\frac{8+2\sqrt{11}}{10} \\\\[/tex]
[tex]Distance=u \cos 53^{\circ}\times t_2\\\\[/tex]
[tex]=6 \times \frac{8\pm 2\sqrt{11}}{10} \\\\=\frac{24\pm 6\sqrt{11}}{5} \\\\= 8.28 \ m[/tex]
A pendulum, like a bobblehead, moves back and forth through a resting position. At what point on its path is the net force acting on the pendulum zero?
Group of answer choices
When the pendulum is displaced as far to the left as it can be.
When the pendulum is displaced as far to the right as it can be.
When the pendulum is at its resting position.
Never…there is always a net force acting on a pendulum
Answer:
[tex]\\ \longrightarrow\:\bf \purple{\dfrac{1}{v} = \dfrac{1}{ - 100} + \:\dfrac{1}{20} }[/tex]
When 100.0 mL of ethyl alcohol is heated from 10.0 C to 35.0 C, about how much thermal energy
is absorbed by the ethyl alcohol? (Assume the density of ethyl alcohol to be 0.790 g/mL.)
Answer:
Q = 194.34 J
Explanation:
Given that,
100.0 mL of ethyl alcohol is heated from 10.0 C to 35.0 C.
We need to find the amount of thermal energy absorbed by the ethyl alcohol.
The density of ethyl alcohol is 0.790 g/mL.
The formula for heat absorbed is given by :
[tex]Q=mc\Delta T\\\\As, d=\dfrac{m}{V}\\\\So,\\Q=dVc\Delta T\\\\Q=0.79\times 100\times 2.46\\\\Q=194.34\ J[/tex]
So, 194.34 J of thermal energy is absorbed by the ethyl alcohol.
What's Alpha beta gamma emission??
I don't know how to answer this question, can someone pls help?
- Explain how a wave can transmit energy to a medium without transporting matter.
Thank you for your time!
Answer:
Consider the energy the earth receives from the sun. The electromagnetic waves travel thru empty space until they interact with some medium surrounding the earth: ozone, atmosphere, solids, etc.
This is contrasted to longitudinal waves such as sound waves which can only travel thru the medium with which they interact.
The study of heat transformation into other forms of energy is called
Answer:
Thermodynamics.
Explanation:
Thermodynamics can be defined as the study of heat transformation into other forms of energy.
Conduction involves the transfer of electric charge or thermal energy due to the movement of particles.
Generally, when conduction relates to electric charge, it is known as electrical conduction while when it relates to thermal energy, it is known as heat conduction.
In the process of heat conduction, thermal energy is usually transferred from fast moving particles to slow moving particles during the collision of these particles. Also, thermal energy is typically transferred between objects that has different degrees of temperature and materials (particles) that are directly in contact with each other but differ in their ability to accept or give up electrons.
In Thermodynamics, heat are generally transformed to various forms of energy such as light energy.
The Law of Conservation of Energy states that energy cannot be destroyed but can only be converted or transformed from one form to another. Therefore, the sum of the initial kinetic energy and potential energy is equal to the sum of the final kinetic energy and potential energy.
Mathematically, it is given by the formula;
Ki + Ui = Kf + Uf .......equation 1
Where;
Ki and Kf are the initial and final kinetic energy respectively.
Ui and Uf are the initial and final potential energy respectively.
Additionally, the Law of Conservation of Energy is another way to describe the First Law of Thermodynamics and it states that the change of the internal energy of a system is equal to the sum of work and heat spent on it.
Mathematically, the First Law of Thermodynamics is given by the formula;
ΔU = Q − W
Where;
ΔU represents the change in internal energy of a system.
Q represents the net heat transfer in and out of the system.
W represents the sum of work (net work) done on or by the system.
at 10° Celsius the gas in a cylinder has a volume of .250 L the gas is allowed to expand to point .285L what must the final temperature be for the pressure to remain constant
11.4°C
Answer:
Solution given:
temperature [T1]=10°c
temperature [T2]=?
volume [V1]=250L
at volume [V2]=285L
now
By using Charles law
V1/T1=V2/T2
250/10=285/T2
T2=285/25
T2=11.4°C
the final temperature must be 11.4°C for the pressure to remain constantCan someone pleassse help me
Answer:
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tdgjbc
Tarzan swings back and forth on a
vine with a period of 7.27 s. How
long is the vine?
(Unit = m)
8CM I suppose because he swings and goes to the next vine
Hellllppppppppppppp!!!!!!
forced of friction increases with increase in the weight of vehicles
The primary circuit of a transformer has a voltage of 80 V and 300 windings. The secondary circuit has a voltage of 240. How many windings are there in the secondary circuit? *
Answer:
900 windings
Explanation:
Applying,
Vs/Vp = Ns/Np............. Equation 1
Where Vs = Secondary voltage, Vp = primary voltage, Ns = Number of turns in the secondary circuit, Np = number of turns in the primary circuit
make Ns the subject of the equation
Ns = VsNp/Vp........... Equation 2
From the question,
Given: Vs = 240 V, Np = 300 windings, Vp = 80 V
Substitute these values into equation 2
Ns = (240×300)/80
Ns = 900 windings
the units of work,energy and power are...............units
unit of work is joules
power - watt
energy - joules
If the density of a substance is 5g/cm3 and the volume is 10cm3,
determine the mass.
Answer:
(5g/cm³)*(10cm³) = 50g
Explanation:
This is just a conversion formula. Easy to find using dimensional analysis.
(5g/cm³)*(10cm³) = 50g
Answer:
[tex]\boxed {\boxed {\sf 50 \ grams}}[/tex]
Explanation:
Density is the amount of mass per unit volume, so the formula is:
[tex]d = \frac{m}{v}[/tex]
The density of the substance is 5 grams per cubic centimeter and the volume is 10 cubic centimeters.
d= 5 g/cm³ v= 10 cm³Substitute the values into the formula.
[tex]5 g/cm^3 = \frac{m}{10 \ cm^3}[/tex]
We are solving for the mass, so we have to isolate the variable m. It is being divided by 10 cubic centimeters. The inverse of division is multiplication, so we multiply both sides of the equation by 10 cm³.
[tex]10 \ cm^3 *5 g/cm^3 = \frac{m}{10 \ cm^3} * 10 \ cm^3[/tex]
[tex]10 \ cm^3 *5 g/cm^3 = m[/tex]
The units of cubic centimeters (cm³) cancel.
[tex]10 *5 g = m[/tex]
[tex]50 \ g=m[/tex]
The mass of the substance is 50 grams.
If a crane worker lifts a crate with a mass of 120 kg from the ground to a
shipping container that is 30 meters off the ground, by how much has the
worker increased the gravitational potential energy of the crate? (Recall that g
= 9.8 m/s2)
A. 46,720 J
B. 35,280 J
C. 29,950 J
D. 18,180 J
SOEM
Answer:
A. 88,200 JExplanation:
Given data,
mass of the crate, m = 200 kgheight of the shipping container, h = 45 mgravitational of a body is possessed by the body due to the virtue of its position.The formula for gravitational potential energy is,
P.E = mgh joules
Substituting the values
P.E = 200 x 9.8 x 45
= 88,200 J
Hence, the gravitational potential energy of the crate is, P.E = 88,200 J
How would you find the resistance of a parallel circuit with n identical resistors?
9514 1404 393
Answer:
R/n
Explanation:
For a given voltage V across each resistor R, the current is V/R. Since there are n parallel paths, the total current is n(V/R). The effective resistance is ...
Reff = V/I = V/(nV/R)
Reff = R/n
why solid keep their shape?
Answer:
Solids can hold their shape because their molecules are tightly packed together. ... Atoms and molecules in liquids and gases are bouncing and floating around, free to move where they want. The molecules in a solid are stuck in a specific structure or arrangement of atoms
Hope this helps ☆*:. o(≧▽≦)o .:*☆
UNA MASA DE 0,5 KG ESTA SOBRE UNA PENDIENTE SUJETA MEDIANTE UNA CUERDA QUE IMPIDE UN DESLICE. ¿QUE FUERZA HACE LA CUERDA?
Answer:
Tension force acts along the inclined plane.
Explanation:
A MASS OF 0.5 KG IS ON A SLOPE FASTENED BY A ROPE THAT PREVENTS SLIDING. WHAT FORCE DOES THE ROPE MAKE?
A mass of 0.5 kg is fastened on a slope. So there are the two components of weight.
m g sin A acts along the plane in the downwards direction.
m g cos A acts perpendicular to the plane in upwards direction.
The force which acts of the rope as the mass is fastened is the tension force on the rope.
So, the tension force is there.
2. Calculate the force needed to accelerate a ball of mass 200 g by 15 m/s?
Answer:
Force = 3 Newton
Explanation:
Given the following data;
Mass = 200 g to kilograms = 200/1000 = 0.2 kg
Acceleration = 15 m/s²
To find the force;
Force = mass * acceleration
Force = 0.2 * 15
Force = 3 Newton
What is a truck's acceleration if the net external force on the truck is 560 N and it has a total of mass of 1000 kg?
Answer:
Acceleration of Truck = 0.56 m/s²
Explanation:
Given information:
Mass of truck = 1,000 kilogram
Net force applied by Truck = 560 N
Find:
Acceleration of Truck
Computation:
Force = Mass x Acceleration
Net force applied by Truck = Mass of truck x Acceleration of Truck
560 = 1,000 x Acceleration of Truck
Acceleration of Truck = 560 / 1,000
Acceleration of Truck = 0.56 m/s²
The compound magnesium phosphate has the chemical formula Mg3(PO4)2. In this compound, phosphorous and oxygen act together as one charged particle, which is connected to magnesium, the other charged particle.
The question is incomplete, the complete question is;
The compound magnesium phosphate has the chemical formula Mg3(PO4)2. In this compound, phosphorus and oxygen act together as one charged particle, which is connected to magnesium, the other charged particle. What does the 2 mean in the formula 5Mg3(PO4)2? A. There are two elements in magnesium phosphate. B. There are two molecules of magnesium phosphate. C. There are two magnesium ions in a molecule of magnesium phosphate. D. There are two phosphate ions in a molecule of magnesium phosphate.
Answer:
There are two phosphate ions in a molecule of magnesium phosphate.
Explanation:
The compound magnesium phosphate is an ionic compound. Ionic compounds always consists of two ions, a positive ion and a negative ion.
In this case, the positive ion is Mg^2+ while the negative ion is PO4^3-.
The subscript, 2 after the formula of the phosphate ion means that there are two phosphate ions in each formula unit of magnesium phosphate.
A small emergency generator supplies 432 000 000 J of electrical energy in twenty-four hours. What is the average power output of the generator?
Answer:
P = 5 kW
Explanation:
Given that,
Electrical energy = 432 000 000 J
Time, t = 24 h = 86400 s
We need to find the power output of the generator. We know that,
Power = work done/time
So,
[tex]P=\dfrac{432 000 000}{86400}\\\\P=5000\ W[/tex]
or
P = 5 kW
So, the power output of the generator is 5 kW.
A car moves 20 km towards the North and then 35 km at an angle of 60o towards west of North. Its magnitude of displacement from the initial position will be
Answer:
15
Explanation:
displacement = initial position - final position
Write a difference between force and work?
Answer:
force is a derived quantity
work is a fundamental quantity
2.Force is measured in Newton why work is measured in Newton per seconds (N/s)
Explanation:
no
A blue line with 5 orange tick marks then one red tick mark then 4 orange tick marks. The number zero is above the red tick mark.Assume each tick mark represents 1 cm.Calculate the total displacement from 0 if an object moves 3 cm to the left, then 7 cm to the right, and then 6 cm to the left.The object moves cm to the left.What is the total distance the object travels? cm
Answer:
16 cm
Explanation:
Given that,
The object begins from 0 and moves 3cm towards left side followed by 7 cm towards the right and then, 6 cm towards the left side.
Let the x-axis to be the +ve and on the right side and -ve on the left
Thus, displacement would be:
= 0 -3 + 7 -6
= -2 cm
This implies that the object displaces 2cm towards the left.
While the total distance covered by the object equal to,
= 0cm + 3cm + 7cm + 6cm
= 16 cm
Thus, 16 cm is the total distance.
Answer:
Its 2 to the right
Explanation:
edge :p
what is the effect of pressure on boiling and melting substance?
Answer:
The boiling point of liquids always increases when pressure is applied on a liquid. This is because the molecules of a liquid will need more energy to turn into a gaseous state when pressure is applied on that substance.
The speed and wavelength of coastal water waves are 4.0 m/s and 6.0 m respectively. When the waves enter a shallower region, the speed decreases to 1.7 m/s. What is the wavelength in the shallower region?
Answer:
v=4m/s
wavelength=6m
f=v/∧
f=0.67Hz
now, v= 1.7 m/s
f=0.67Hz
∧=v/f
∧=1.7/0.67
∧=2.54m
Explanation:
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2.54m is the wavelength in the shallower region.
What is wavelength?Wavelength exists the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in the area or along a wire. In wireless systems, this length exists usually specified in meters (m), centimeters (cm), or millimeters (mm).
Wavelength can be represented as the distance between two successive crests or troughs of a wave. It exists calculated in the direction of the wave.
v=4m/s
wavelength=6m
f=v/λ
f=0.67Hz
now, v= 1.7 m/s
f=0.67Hz
λ=v/f
λ=1.7/0.67
λ=2.54m.
Hence, 2.54m is the wavelength in the shallower region.
To learn more about wavelength refer to:
https://brainly.com/question/27120701
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