D. No simple relationship exists between v I and v 2 becaue we do not know the 3

Question

D. No simple relationship exists between v I and v 2 becaue we do not know the 3. You are standing on a skateboard, initially at rest. A friend throws a very heavy bel towards you. You can either catch the object or deflect the obijoct back towards you friend (such that it moves away from you with the same speed as it was origimally thrown). What should you do in order to MINIMIZE your speed on the skateboand? A. Deflect the ball. B. Catch the ball. C. Your final speed on the skateboard will be the same regardiess whether you catch the ball or deflect the ball

Explanation / Answer

3) will catch the ball

as let the initial speed of ball = v and mass of ball = m and mass of person = M

now momentum need to be conserved

in case he catch the ball => mv = (m+M)v' => v' = mv/(m+M)

in case he deflect the ball => mv = (Mv') - mv => v' = 2mv/M = mv/(M/2)

clearly velocity in case 1 is much less than in case 2.

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