Name _______________________
Period ___
AP PHYSICS C
TEST
ROTATION and GRAVITATION V2
1) Explain in detail why a smooth rolling object will always ascend a ramp WITH static
friction to a greater height than a ramp WITHOUT static friction. Explain first using
energy and then second using dynamics/kinematics.
2) Calculate the rotational inertia of a uniform thin rod of mass M and length L about an
axis ⅙ L from one end. Solve it using a) the parallel axis theorem and also using b)
calculus.
3) A satellite in an elliptical orbit has a maximum speed of 100 m/s and the orbit has an
eccentricity of 0.75. Calculate the minimum speed of the satellite. Show all work!
4) A small meteor is seen at a distance of 1 x 107 m from the center of a planet. The planet
has a mass of 1 x 1022 kg and a radius of 1 x 106 m. The meteor is headed straight toward
the planet with a speed of 300 m/s. What will be the speed of the meteor upon impact
with the planet? Show all work!
5) A mass of mass m occupies the origin, and a mass 9m occupies the point 12,0. At what
point is their combined gravitational field strength equal to zero? Show all work!
6) A uniform rod rotates in a horizontal plane about a vertical axis through one end. The
rod is 6.00 m long, weights 10 N and rotates at 240 rev/min. Calculate the magnitude of
the angular momentum about the axis. Show all work!