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Question

A car weighing 2×103kg and moving at 20 m/s along a main road collides with a lorry of mass 8×103kg which emerges at 5 m/s from a cross road at right angle to the main road. If the two vehicles lock, what will be their velocity after the collision?

A
4/2m/s,45 with cross road
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B
4/2m/s,45 with main road
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C
4/2m/s,60 with cross road
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D
4/2m/s,60 with main road
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Solution

The correct option is B 4/2m/s,45 with main road
The given situation can be shown as
Total momentum before impact
=pC+pL=|pC+pL|
=p2C+P2L
=(2×103×20)2+(8×103×5)2
=40×1032kg m/s
Direction of momentum with main road
tanθ=pLpC=8×103×540×103=1
θ=45
By the law of conservation of linear momentum,
103×402=(2×103+8×103)v
v=42m/s.
713997_679144_ans_1cfa6f1e17f34039a1fd74ef788b6e30.png

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