1.) An electric motor can accelerate a Ferris wheel of moment of inertia I = 19500 kg·m2 from rest to 10.1 rev/min in 12.0 s. When the motor is turned off, friction causes the wheel to slow down from 10.1 to 8.1 rev/min in 10.0 s. (a) Determine the torque generated by the motor to bring the wheel to 10.1 rev/min. (b) Determine the power that would be needed to maintain this rotational speed. W

2.)A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely with an angular speed of 0.526 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 2.80 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. (a) Does the kinetic energy of the system increase, decrease, or stay the same when the person jumps on the merry-go-round? decrease stay the same increase (b) Calculate the initial and final kinetic energies for this system. Ki = kJ Kf = kJ

Four particles are in a 2-D plane with masses, x- and y- positions, and x- and y- velocities as given in the table below:

1) What is the x position of the center of mass?

2)What is the y position of the center of mass?

3)What is the speed of the center of mass?

Briefly describe a measurement you can do using a compass to determine information on the direction and/or strength of the magnetic field passing through the wire in Oersted’s experiment. Include your prediction on how you expect the compass reading to vary as you change one parameter (e.g. distance or current through the wire).

Being critical of your measurement described in the previous question, what errors or complications could arise that would prevent you from obtaining conclusive results? Include a precaution or extra steps that could be undertaken to ensure conclusive results. (One optional choice here is how to deal with background signals produced by Earth’s magnetic field).

A singly charged 7Li ion has a mass of 1.16 10-26 kg. It is accelerated through a potential difference of 495 V and subsequently enters a uniform magnetic field of magnitude 0.366 T perpendicular to the ion's velocity. Find the radius of its path.

5. The _______ of a sound wave is defined as the amount of energy passing through a unit area of the wave front in a unit of time. A. compression B. intensity C. amplitude D. frequency 6. If two waves with equal amplitudes and wavelengths travel through a medium in such a way that a particular particle of the medium is at the crest of one wave and at the trough of the other wave at the same time, what will happen to that particle? A. The particle will cause beats as a result of the wave combination. B. The particle will move halfway to the crest due to reinforcement. C. The particle will vibrate with double amplitude due to resonance. D. The particle will remain stationary due to interference. 7. When the temperature of the air is 25°C, the velocity of a sound wave traveling through the air is approximately A. 320 m/s. B. 332 m/s. C. 347 m/s. D. 357 m/s. 8. If a source of sound waves is rapidly approaching a person, the sound heard by the person appears to have A. a frequency higher than the original frequency. B. a pitch lower than the original pitch. C. an amplitude lower than the original amplitude. D. a period higher than the original period. 9. If a person is in front of a smooth surface from which a sound is reflected, the person would hear a sound that A. seems to lack overtones. B. seems to come from behind the surface. C. has a higher intensity than the sound produced by the source. D. has a higher pitch than the sound produced by the source.

As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.15 mm apart and position your screen 3.67 m from the slits. Although Young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 641 nm . How far on the screen are the first bright fringe and the second dark fringe from the central bright fringe? Express your answers in millimeters.

A block of mass M is hanging from a rope of length L. You throw a ball of clay of mass m towards the block. The clay hits the block along the horizontal axis with a speed v, and proceeds to stick to the block. The block and clay swing up to a maximum height h. Find h.

10. A 6.0 - m long rod has a mass of 1⁄3kg. Its moment of inertia from an axis at one of its end is (in kg. m2)

A 25.0-kg crate is initially at rest at the top of a ramp that is inclined at an angle θ = 30.0 ◦ above the horizontal. You release the crate and it slides 1.25 m down the ramp before it hits a spring attached to the bottom of the ramp. The coefficient of kinetic friction between the crate and the ramp is 0.400 and the constant of the spring is k = 5000 N/m. How far does the crate compress the spring?

How does the magnitude, sign, and rate of change of the magnetic flux, and the number of turns in the secondary affect the induced emf? In an experiment of Moving a permanent magnet AND an electromagnet in and out of a pickup coil and seeing the brightness or voltage.

Relating to Faraday's Law

A ball is launched from the ground at an angle of 65∘ above the horizontal with a velocity of 22m/s. The ball hits the ground some distance away at a given speed, and bounces back up. When it does so the amplitude of both the x and y components of its velocity are half what they were. This repeats with the ball losing half of it’s speed on each bounce.

a) Sketch the problem.

b) Write the equation of motion (position as a function of time) for the x- and y-directions and identify all known quantities.

c) At which position, (x,y), is the ball when it lands on the ground for the first time?

d) How many times will the ball bounce before the maximum height of its trajectory is less than 1m.

Your task is to place your spacecraft in circular orbit about Mars with an orbital period of 8 hours and 40 minutes. The mass of Mars is 6.45 x 1023 kg, and the radius of Mars is 3394 km. What will be the radius of your circular orbit?