A: A child, hunting for his favorite wooden horse, is running on the ground around the edge of a stationary merry-go-round. The angular speed of the child has a constant value of 0.297 rad/s. At the instant the child spots the horse, one-quarter of a turn away, the merry-go-round begins to move (in the direction the child is running) with a constant angular acceleration of 0.00500 rad/s². What is the shortest time it takes for the child to catch up with the horse?

B:The earth spins on its axis once a day and orbits the sun once a year (365.24 days). In each case take the positive direction for the angular displacement to be the direction of the earth's motion.

Determine the average angular velocity of the earth as it spins on its axis.


Determine its angular velocity as it revolves around the sun.

Two people stand a distance L apart along an east

A one-meter pipe is open at one end only. Describe the locations of the nodes and antinodes of the pressure wave. Of the wave in air movement.

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 0.88 m and whose unstretched length is 0.48 m. Next the mass is pulled down to where the spring has a length of 1.08 m and given an initial speed upwards of 1.9 m/s. What is the maximum length of the spring during the motion that follows?

A diverging and converging lens with equal focal lengths of f = 0.5 m are placed so that their "fake" focal points overlap. If you place an object 2 m to the left of the left most lens, where is the final image formed? What are its attributes? Draw the ray diagram to double-check your work.Suppose you are allowed to use these the same type of lenses with what ever focal lengthyou need. What type of devise you can build with these two lenses.

1) Why do we see a deflection in the galvanometer, indicating current through the larger solenoid, when changing the amount of current through the smaller solenoid?

2)The faster the current in the smaller solenoid is changed, the greater the induced current in the larger solenoid. Why is this?

THANKS IN ADVANCE

8. Three moles of ideal monatomic gas at 400 K are compressed from 1 atm to 20 atm. Find for each of the following processes starting at the same initial condition the work, heat, ΔU, and ΔH if the compression is performed

a. Isothermally

b. Isochorically

c. Adiabatically

Dr C #1 An object with mass = 5 kg is oscillating on the end of a horizontal spring with spring constant 10 ^4 N/M. there is no friction, but there is air resistance, which can be represented with a damping coefficient b = 10 Ns/m. Be careful to avoid rounding errors.

A) Is the mass underdamped, overdamped, or critically damped?

B) What is the frequency of oscillation of this mass? The period?

C) What percent of energy is lost during one cycle of motion?

D) how many cycles of motion will occur in the time it takes the energy to drop to 10% of its initial value?

E) What is the quality factor of this oscillator?

1. Describe the idea of color temperature?

a. What are the advantages and disadvantages of using filters to alter color temperature?

b. How does the mechanism behind a neutral density filter differ from a color correction filter? In other words, how does each of these work?

2. Sketch the four types of lens arrangements in a substage condenser and tell me what the advantages and limitations each type has.

3. How does numerical aperture relate to the resolving power of an objective?

A sports car weighs 9.919 kN and has a wheelbase of 2.26 m. The center of gravity is 1.22 m (4 ft) behind the front axle. The cornering stiffness of each front tire is 1023 N/deg and that of each rear tire is 1246 N/deg. Plot the steady-state yaw velocity gain and lateral acceleration gain of the vehicle in the forward speed range 10 - 160 kph.

Ball 1, with a mass of 120g and traveling at 15m/s , collides head on with ball 2, which has a mass of 310g and is initially at rest.

What are the final velocities of each ball if the collision is perfectly elastic?

A lens is made of a transparent material having an index of refraction of 1.50. One side of the lens is flat, and the other convex with a radius of curvature of 23.0 cm. (a) Find the focal length of the lens. (b) If an object is placed 110 cm in front of the lens, where will the image be located?

A 1.20 kg block slides with a speed of 0.860 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 516 N/m . The block comes to rest after compressing the spring 4.15 cm.

A. Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 0 cm.

B. Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 1.00 cm.

C.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 2.00 cm.\

D.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 3.00 cm.

E.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 4.00 cm.