The balance wheel of a watch oscillates with angular amplitude 1.2π rad and period 0.70 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 1.2π/2 rad, and (c) the magnitude of the angular acceleration at displacement 1.2π/4 rad.

Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 2.5×10⁴ m/s when at a distance of 2.8×10¹¹ m from the center of the sun, what is its speed when at a distance of 5.3×10¹⁰ m.

A 2.50-kg grinding wheel is in the form of a solid cylinder of radius 0.100 m.

1- What constant torque will bring it from rest to an angular speed of 1200 rev/min in 2.5 s?

2- Through what angle has it turned during that time?

3- Use equation W=τz(θ2−θ1)=τzΔθ to calculate the work done by the torque.

4- What is the grinding wheel’s kinetic energy when it is rotating at 1200 rev/min?

5- Compare your answer in part (D) to the result in part (C).

A group of students perform the same "Conservation of Mechanical Energy" experiment that you performed in lab by allowing a solid sphere and then a solid cylinder to roll down the ramp. Both objects were released from the same position at the top of the ramp. If the speed v_sphere of the solid sphere at the bottom of the ramp was  1.25 m/s, what would be the speed v_cylinder at the bottom of the ramp?

In this assignment , we will explore the life of Isaac Newton, please listen to the radio show from the BBC and do a little research about Isaac Newton.

1. Listen the first episode (Age of Ingenuity) of the following podcast show: Seven Ages of Science BBC Radio. (http://www.bbc.co.uk/programmes/b0380wf8/episodes/downloads)

You can also find this series from iTunes or any other podcast apps.

2. This first episode (The Age of ingenuity) describes the age of Isaac Newton. (I highly recommend you listen to all seven episodes. These are fun.) After you listen to the episode, please answer following questions.
   1. In this episode, they mentioned about a special telescope designed by Robert Hooke. What is the name of the telescope? Search online to find a picture of the telescope and attached to this paper. Explain how the telescope works.

2. How was the relationship between Robert Hooke and Isaac Newton? Were they good friends or enemies? Search online to find more stories about them and write here.

3. Isaac Newton is an interesting person. Find any interesting stories about Isaac Newton, you can use any resources such as online resources, DVDs, TV and books. Please write a story you found and reference the source of the story correctly.

Reference: ______________________________________________________

A bicycle wheel can be thought of simply as a central solid cylinder (the part that attaches to the axle) surrounded by a thin shell of mass (the rim and tire) located along the outer edge of the wheel. Compared to these parts of the wheel, the mass of the spokes is small enough to be neglected. A sample bicycle wheel has mass 2.0 kg, half of which is in the central cylinder. The other half is in the rim and tire. The central cylinder has a radius of 4.0 cm (note the unit!). The wheel has a radius of 40.0 cm.

a) What is the moment of inertia of the central cylinder?

b) What is the moment of inertia of the rim/tire? Hint: you should not be using the same equation you used in (a).

c) The moment of inertia of the entire wheel is just the sum of the individual moments of inertia of the parts. What is the moment of inertia of the wheel?

The wheel described above rolls down a ramp without slipping. It starts rolling on the ramp at a point where the ramp is 2.0 m above the ground. Any energy lost to frictional effects as the wheel rolls is negligible.

d) What gravitational potential energy (relative to the ground) does the wheel have at the top of the ramp?

e) What types (plural!) of mechanical energy does the wheel have when it reaches the ground?

f) How fast is the wheel moving at the bottom of the ramp? Hint: This is asking for the translational velocity of the wheel. You need to set up an energy conservation equation in which you can isolate the translational velocity as the only unknown quantity.

g) Assuming acceleration is constant, what is the average translational velocity of the wheel as it rolls down the ramp? Hint: since the wheel started from rest, the relationship between the average velocity and the velocity at the bottom of the ramp is quite simple; go back to your kinematics equations!

A 2.7 kg block with a speed of 5.4 m/s collides with a 5.4 kg block that has a speed of 3.6 m/s in the same direction. After the collision, the 5.4 kg block is observed to be traveling in the original direction with a speed of 4.5 m/s. (a) What is the velocity of the 2.7 kg block immediately after the collision? (b) By how much does the total kinetic energy of the system of two blocks change because of the collision? (c) Suppose, instead, that the 5.4 kg block ends up with a speed of 7.2 m/s. What then is the change in the total kinetic energy?

Part a: 3.6 m/s

Part b: -2.19 J

I can not figure out part c.

Describe and explain the optics of the microscope and the telescope.

Can you explain the major concepts needed to launch a satellite into space, place it in a particular orbit around the Earth, keep it in that orbit, and eventually dispose of it?

Consider a series of 8 flips of a fair coin.

Calculate the probabilities for obtaining 0-8 heads. We will consider each of these nine outcomes to be macrostates of the system. Graph these probabilities below.

ProbabilityNumber of Heads0123456780.000.030.050.080.100.130.150.170.200.220.250.270.300.330.350.380.40

Extract the radial part of the Schrodinger. wave equation in spherical coordinates for a hydrogen like atom. Use the methods of eigenvalues. Plot the results with the radial wave function as a function of the distance from the nucleus r.

A soccer ball (mass = 0.450 kg, diameter = 0.70 m) is rolled down a 3.0 m high ramp that makes an angle of 30 degrees with the horizontal and is 6.0 m long. Assume the ball is a hollow sphere (I = 2/3MR^2) and begins at rest. How long (in seconds) would it take the ball to reach the bottom of the ramp?

List the recommendation of federal, state and local regulations regarding radiation protection requirements relating to the assignment of personal monitoring devices.

How does the physics learned in the classroom compare to physics in the real world? Provide a detailed response.

A 3.4 kg box rests on a 17 degree inclined plane. How much of its weight is pulling it down the ramp? How much of its weight is directed perpendicularly to the ramp?