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Question

A ball of mass 10 kg moving with a velocity 103 ms1 along Xaxis, hits another ball of mass 20 kg which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along Yaxis at a speed of 10 m/s. The second piece starts moving at a speed of 20 m/s at an angle θ (degrees) with respect to the Xaxis. The configuration of the pieces after collision is shown in the figure. The value of θ to the nearest integer is .



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Solution



Conserving momentum along the Xaxis
(pi)x=(pf)x
10×103=10×20cosθ
cosθ=32
θ=30
30 is the required value.

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