A flywheel with a radius of 0.390 m starts from rest and accelerates with a constant angular acceleration of 0.670 rad/s2. Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim at the start. Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 60.0 ∘. Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 120 ∘.

Starting from the one-dimensional motion equation x=Xo + vt

prove that v^2 = Vo^2 + 2a(X-Xo)

If you could eplain as well why/ how each step in the problem proves the equation, this would be greatly helpful.

Thank you!

Show that setting the 4-divergence of current four vector equal to zero gives the equation of continuity.

A 960-kg satellite orbits the Earth at a constant altitude of 95-km.

(a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 193 km?


(b) What is the change in the system's kinetic energy?

(c) What is the change in the system's potential energy?

A marble rolls down an incline, and when it’s halfway down it’s going at 1.12 m/s. Find (a) its starting height and (b) its speed at the bottom.

A bucket of water of mass 16.0 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.320 m with mass 13.0 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 10.6 m to the water. You can ignore the weight of the rope.

What is the tension in the rope while the bucket is falling?

Take the free fall acceleration to be g = 9.80 m/s2 .

With what speed does the bucket strike the water?

Take the free fall acceleration to be g = 9.80 m/s2 .

What is the time of fall?

Take the free fall acceleration to be g = 9.80 m/s2 .

While the bucket is falling, what is the force exerted on the cylinder by the axle?

Take the free fall acceleration to be g = 9.80 m/s2 .

1. What were two reasons as to why Rutherford selected alpha-particles for his experiment?

1. From Millikan’s oil drop experiment, what was he value of the voltage that allowed the  drops to obtain terminal velocity?

Two students are discussing how the period of a toy pig flying in a circle depends on

the length of the string.

Student A says: The period depends on the length of the string.

Student B says: The period is independent of the length of the string.

You have the following equipment: flying pig, stand, stopwatch, metre stick, spring

scale, tape measure, strings of different lengths

How would you make an experiment to prove one of the students is correct and the other wrong?

A 80.0 cm3 box contains helium at a pressure of 2.50 atm and a temperature of 110 ∘C. It is placed in thermal contact with a 210 cm3 box containing argon at a pressure of 4.20 atm and a temperature of 390 ∘C

What is the final thermal energy of each gas? Ef(He),Ef(Ar)

How much heat energy is transferred, and in which direction?

What is the final temperature?

What is the final pressure in each box?

What is the final temperature?

What is the final pressure in each box? pf(He), pf(Ar) =

1.) Identical objects are located at the same distance from two spherical mirrors, A and B. The magnifications produced by the mirrors are m_A = 3.6 and m_B = 2.1. Find the ratio f_A/f_B of the focal lengths of the mirrors.

2.) A tall tree is growing across a river from you. You would like to know the distance between yourself and the tree, as well as its height, but are unable to make the measurements directly. However, by using a mirror to form an image of the tree and then measuring the image distance and the image height, you can calculate the distance to the tree as well as its height. Suppose that this mirror produces an image of the sun, and the image is located 0.8508 m from the mirror. The same mirror is then used to produce an image of the tree. The image of the tree is 0.9932 m from the mirror. (a) How far away is the tree? (b) The image height of the tree has a magnitude of 0.12 m. How tall is the tree?

Which of the following statements explains why you cannot cool down your house by holding the refrigerator open?

Select one:

a. Cold air in the cold box will flow into the kitchen but won’t cause a noticeable temperature change.

b. The refrigerator releases heat into the kitchen to keep the cold box temperature cold.

c. Cold air in the cold box will not flow into the kitchen.

d. The refrigerator removes heat from the kitchen and then replaces it during a cycle.

Hi, could you please provide a detailed explanation.. Thank you!

Q1

(i) Explain how you can use Newton’s version of Kepler’s third law to measure mass of the Sun.

(ii) Suppose a satellite is in ‘low Earth orbit’. Will that satellite remain in orbit forever, or will it eventually fall to the ground? Please explain your answer.

Q2

A small black hole with mass equal to Earth’s mass hits the Sun, and eventually settles down in the core. Briefly explain what you think would happen to the stellar structure.