#2. Block A, solid sphere B, solid cylinder C, and cylindrical shell D are released from rest from different (exactly vertical) heights on an inclined plane. When they reach the bottom, Sid notices that their linear velocities are all the same. a) Rank the release heights from least to greatest. Use the symbols HA, HB, Hc, and HD. Answer: Show MATHEMATICALLY that neither the radius nor the mass matters in this problem. Then write a sentence to explain what happened algebraically. #3. A meter stick with mass 750 grams is loosely bolted to a pool table (bad idea!) at one of its ends. A pool ball with angular mass 160 grams, radius 2.9 cm, and initial linear momentum 4800 grams.cm/s strikes the free end of the meter stick. Somehow, they get stuck together (it also stops rolling). Then, together as a unit, the meter stick/ball combination rotate around the bolt. a) What is the moment of inertia for the system after the collision? b) What is the change in initial linear momentum of the system before and immediately after the collision? c) What is the change in angular momentum before and (immediately) after the collision? d) Calculate the change in linear momentum before and (immediately) after the collision? e) How many Joules of translational (linear) kinetic energy were lost during the collision? f) Explain how the mass of the earth is partly responsible for the loss in part d). g) If the friction on the table causes a constant force of 6 Newtons, what torque does it apply to the system? h) What is the angular acceleration of the system? i) Assuming that the rotation is clockwise (as viewed from above), with directions do w, a, and i point? W : a: j) How many turns will the rod/ball combination accomplish before it stops (answer to the nearest hundredth)