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A playground merry-go-round (uniform disk with mass M=150kg and radius R=2m) rotates on a frictionless axle through its center. A child of mass m=50kg is riding on the merry-go-round at a distance R=2m from the center, and the system is initially turning with angular velocity w=3.0 rads-1.
A) What is the kinetic energy of the child-merry-go-round-system? (The child is a point mass and Idisk=.5MR^2)
B) What is the final moment of inertia if the child moves to the center?
C) What is the angular velocity when the child is at the center?
D) As the child moves toward the center, does the kinetic energy of the system increase, decrease, or stay the same?
A 1.6-cm-tall object is 30cm to the left of a lens with a focal length of 15cm . A second lens with a focal length of 42cm is 58cm to the right of the first lens, Calculate the image height
The system is released from rest with the rod horizontal. If the animals can manage to hold on, illustrate what are their speeds as the rod swings through a vertical position?
A superhero flies 272m from the top of a tall building at an angle of 32 below the horizontal. What is the vertical component of the superhero's displacement.
Find out d, the distance between the photogates, using the times and glider length. There is two ways to find this for the up and down directions.
define the potential difference between the plates.With what force must the player push the puck so that his force just equals the frictional force.
A fighter jet lands on the deck of an aircraft carrier. It touches down with a speed of 70.4 m/s and comes to a complete stop over a distance of 197.4 m, What is the acceleration of the jet
Assume that ABC Firm has an optimal capital structure; comprised of debt, preferred stock and common equity. In this scenario, Firm currently has 48 percent debt, 4 percent preferred stock and 57 percent common equity in its capital structure.
In fair weather, over flat ground, there may be a downward electric field of 155 N/C. (a) Assume that the Earth is a conducting sphere with charge on its surface.
A 1 cm3 air bubble at a depth of 209 meters and at a temperature of 4 oC rises to the surface of the lake where the temperature is 18 oC, what is its new volume
An AC voltage of the form ?V = (85 V) sin (330 t) is applied to a series RLC circuit. If R = 42 ?, C = 29 µF, and L = 0.3 H, find the rms current in the circuit
The meter stick in the drawing can rotate about an axis located at the 20.0-cm mark, Which force, F1 or F2, acts on the meter stick, and what is its magnitude
A 21 g bullet travelling at 255 m/s is fired into a 0.452 kg wooden block anchored to a 100 N/m spring. How far is spring compressed to the nearest thousandth of a meter.
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