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Chapter 9: Q76P (page 253)
A 6090 kgspace probe moving nose-first toward Jupiter at 105 m/srelatives to the Sun fires its rocket engine, ejectingof exhaust at a speed of 253 m/srelatives to the space probe. What is the final velocity of the probe?
Final velocity of the probe is 108m/s.
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A cue stick strikes a stationary pool ball, with an average force of 32 N over a time of 14 ms. If the ball has mass 0.20 kg, what speed does it have just after impact?
An automobile is at rest at a traffic signal. At the instant the light turns green, the automobile starts to move with a constant acceleration of . At the same instant a truck, travelling at a constant speed of , overtakes and passes the automobile. (a) How far is the com of the automobile鈥搕ruck system from the traffic light at ? (b) What is the speed of the com then?
A uniform soda can of massistall and filled withof soda (Figure 9-41). Then small holes are drilled in the top and bottom (with negligible loss of metal) to drain the soda. (a) What is the height hof the com of the can and contents initially and (b) After the can loses all the soda? (c) What happens to has the soda drains out? (d) If xis the height of the remaining soda at any given instant, find x when the com reaches its lowest point.
In a game of pool, the cue ball strikes another ball of the same mass and initially at rest. After the collision, the cue ball moves at 3.50 m/s along a line making an angle of 2 with the cue ball鈥檚 original direction of motion, and the second ball has a speed of . Find (a) the angle between the direction of motion of the second ball and the original direction of motion of the cue ball and (b) the original speed of the cue ball. (c) Is kinetic energy (of the centers of mass, don鈥檛 consider the rotation) conserved?
In Fig. 9-64, block A (mass 1.6 kg)slides into block B (mass 2.4 kg), along a frictionless surface. The directions of three velocities before (i) and after (f) the collision are indicated; the corresponding speeds are , , and . What are the (a) speed and (b) direction (left or right) of velocity ? (c) Is the collision elastic?
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