Multiple-Concept Example 9 reviews the concepts that play roles in this problem.

Question

Multiple-Concept Example 9 reviews the concepts that play roles in this problem. The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.0180 kg and is moving along the x axis with a velocity of + 7.41 m/s. It makes a collision with puck B, which has a mass of 0.0360 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. Find the speed of (a) puck A and (b) puck B. (a) Number .0127 Units (b) Number _________ Units ___________

Explanation / Answer

initial velocity of A uA = 7.41i m/s
initial velocity of B uB = 0
Final veliocity of A vA = vA(cos65i + sin65j) m/s
Final velocity of B vB = vB(cos37i - sin37j) m/s

Using momentum conservation ,

initial momentum (mv) = final

0.0180 x 7.41i + 0 = 0.0180(vA(cos65i + sin65j)) + 0.0360vB((cos37i - sin37j)

0.133i + 0 j = (0.00761vA + 0.0288vB ) i + (0.0163vA - 0.0217vB)j

So,

0.00761vA + 0.0288vB = 0.133

0.0163vA - 0.0217vB = 0

on solving ,

vA = 4.55 m/s   ......Ans (a)

vB = 3.42 m/s    ...........(Ans(b))

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