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A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h as shown above.

1. If the plane is frictionless, what is the speed vcm, of the center of mass of the sphere at the bottom of the incline?

(A) (B) (C) (D) (E)

I think the answer is A

2.. The momentum p of a moving object as a function of time t is given by the expression p = kt3, where k is a constant. The force causing this motion is given by the expression

(A) 3kt2 (B) 3kt2/2 (C) kt2/3 (D) kt4 (E) kt4/4

I think the answer is B

3. A long board is free to slide on a sheet of frictionless ice. As shown in the top view above, a skater skates to the board and hops onto one end, causing the board to slide and rotate. In this situation, which of the following occurs?

(A) Linear momentum is converted to angular momentum.

(B) Kinetic energy is converted to angular momentum.

(C) Rotational kinetic energy is conserved.

(D) Translational kinetic energy is conserved.

(E) Linear momentum and angular momentum are both conserved.

I think the answer is E

4. Two pucks moving on a frictionless air table are about to collide, as shown above. The 1.5 kg puck is moving directly east at 2.0 m/s. The 4.0 kg puck is moving directly north at 1.0 m/s.

What is the magnitude of the total momentum of the two puck system after the collision?

(A) 1.0 kg•m/s (B) 3.5 kg•m/s (C) 5.0 kg•m/s (D) 7.0 kg•m/s (E) 5.5 kg•m/s

I think the answers is D

5. A mass M suspended by a spring with force constant k has a period T when set into oscillation on Earth. Its period on Mars, whose mass is about 1/9 and radius 1/2 that of Earth, is most nearly

(A) 1/3 T (B) 2/3 T (C) T (D) 3/2 T (E) 3 T

I think the answer is C.

6. A student is testing the kinematic equations for uniformly accelerated motion by measuring the time it takes for light weight plastic balls to fall to the floor from a height of 3 m in the lab. The student predicts the time to fall using g as 9.80 m/s2 but finds the measured time to be 35% greater. Which of the following is the most likely cause of the large percent error?

(A) The acceleration due to gravity is 70% greater than 9.80 m/s2 at this location.

(B) The acceleration due to gravity is 70% less than 9.80 m/s2 at this location.

(C) Air resistance increases the downward acceleration.

(D) The acceleration of the plastic balls is not uniform.

(E) The plastic balls are not truly spherical.

I think the answer is A

7. An object is thrown with velocity v from the edge of a cliff above level ground. Neglect air resistance. In order for the object to travel a maximum horizontal distance from the cliff before hitting the ground, the throw should be at an angle θ with respect to the horizontal of

(A) greater than 60° above the horizontal

(B) greater than 45° but less than 60° above the horizontal

(C) greater than zero but less than 45° above the horizontal

(D) zero

(E) greater than zero but less than 45° below the horizontal

I think the answer is D

8. The escape speed for a rocket at Earth's surface is ve . What would be the rocket's escape speed from the surface of a planet with twice Earth's mass and the same radius as Earth?

(A) 2 ve (B) (C) ve (D) (E) ve/2

I think the answer is A