Chapter 9

1. (p.236 prob.84) In order to convert a tough split in bowling, it is necessary to strike the pin a glancing blow as shown in Fig. 9-47. Assume that the bowling ball, initially traveling at 12.0m/s, has five times the mass of a pin and that the pin goes off at 80° from the original direction of the ball. Calculate the speed (a) of the pin and (b) of the ball just after collision, and (c) calculate the angle through which the ball was deflected. Assume the collision is elastic and ignore any spin of the ball.

Answer.

2. (p. 257 prob.86) A gun is fired vertically into a 1.40-kg block of wood at rest on a thin horizontal sheet directly above it, fig. 9-48. If the bullet has a mass of 21.0g and a speed of 310m/s, how high will the block rise into the air after the bullet becomes embedded in it?

Answer.

3. (257 prob.93) A 5800-kg open railroad car coasts along with a constant speed of 8.60m/s on a level track. Snow begins to fall vertically and fills the car at a rate 3.50kg/min. Ignoring friction with the tracks, determine the speed of the car after 60.0min using momentum conservation.

Answer.

4. (p.238 prob. 102) The space shuttle launches an 800-kg satellite by ejecting from the cargo bay. The ejection mechanism is activated and is in contact with the satellite for 4.0s to give it a velocity of 0.30m/s in the z-direction relative to the shuttle. The shuttle is 90,000kg. (a) Determine the compo9nent of velocity v_f of the shuttle in the minus z-direction resulting from the ejection. (b) Find the average force that the shuttle exerts on the satellite during the ejection.

Answer.

5. (p.235 prob.66) Determine the CM of a thin uniform semicircular plate.

Answer.