<p>a golf ball is hurled at and rebounds from a very massive bowling ball that i
ID: 1702364 • Letter: #
Question
<p>a golf ball is hurled at and rebounds from a very massive bowling ball that is initially at rest.<br /><br />a. after the collision, which of the two balls has the greater momenyum? (hint: the golf ball rebounds with practically the same magnitude of momentum, but in the <span>opposite direction</span>.) how great will the momentum of the larger ball be in order for the total momentum to be the same beforeand after the collision?</p><p>b. which ballwill have the greater kinetic energy? why?</p>
Explanation / Answer
The golf ball ends up with the same (magnitude of) momentum that it had before the collision, but it is traveling in the opposite direction. (to conserve momentum) The bowling ball gets twice the momentum of the golf ball. Since the bowling ball has twice the momentum in the same direction as the golf ball was going pre-collision, momentum is conserved. mv golfball pre collision = -mv golfball pre collision + 2 mv golfball pre collision mv golfball pre collision = mv golfball post collision + mv bowling ball mv = -mv + 2mv The golfball has almost the same kinetic energy after the collision since its speed is practically the same. The bowling ball is barely moving, so its kinetic energy is small. So, the golf ball has more kinetic energy after the collision.
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