• A machine gun is fired at a steel plate. Is the average force on the plate from the bullet impact greater if the bullets bounce off or if they are squashed and stick to the plate?
• Young and Freedman 8-70: A 5.00 g bullet is shot through a 1.00 kg wood block suspended on a string 2.000 m long. The center of mass of the block rises a distance of 0.45 cm. Find the speed of the bullet as it emerges from the block if its initial speed is 400 m/s.
• In a zero-gravity environment, can a rocket-propelled spaceship ever attain a speed greater than the relative speed with which the burnt fuel is exhausted?
• Young and Freedman 8-88: A 20.0 kg projectile is fired at an angle of 60.0 degrees above the horizontal and with a speed of 240 m/s. At the highest point of its trajectory the projectile explodes into two fragments with equal mass, one of which falls vertically with zero initial speed. a) How far from the point of firing does the other fragment strike if the terrain is level? b) How much energy is released during the explosion?
• In rewinding an audio or video tape, why does the tape wind up fastest at the end?
• Halliday and Resnick 11-38: An early method of measuring the speed of light makes use of a rotating slotted wheel. A beam of light passes through a slot on the outside edge of the wheel, travels to a distant mirror, and returns to the wheel just in time to pass through the next slot in the wheel. One such slotted wheel has a radius of 5.0 cm and 500 slots at its edge. Measurements taken when the mirror was 500 m from the wheel indicated a speed of light of 3.0x10⁸ m/s. a) What was the (constant) angular speed of the wheel? b) What was the linear speed of a point of the edge of the wheel?
• A marksman on a merry-go-round fires at a target on the ground near the merry-go-round. How should he adjust his aim to account for the fact he is on the merry-go-round? What if the target were on the merry-go-round and the marksman were standing on the ground?

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• Halliday and Resnick 11-41: A wheel (call it wheel A) of radius r=10 cm is coupled by a rubber fanbelt to a different wheel (call it B) of radius r=25 cm. Wheel A increases its angular speed from rest at a uniform rate of 1.6 rad/s². Find the time for wheel B to reach a rotational speed of 100 rev/min, assuming the belt does not slip.
• Halliday and Resnick 9-11: Consider a right cylindrical can with mass M, height H, and uniform density that is initially filled with soda pop of mass m. Small holes are punched in the bottom and top of the can and the liquid slowly drains out. What is the height h of the center of mass of the can and pop system initially? What is the center of mass of the system after all the liquid has drained out (ignore the soda on the floor). If x is the height of the remaining soda pop at any given instant, find the height of the center of mass of the system as a function of x, M, H, and m.