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Question

A body of mass m1 moving with velocity v collides (oblique collision) with a stationary ball of mass m2 get embedded. After the collision , velocity of separation along the line of impact will

A
be same
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B
decrease (0)
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C
be
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D
be zero
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Solution

The correct option is D be zero
Now mu1+m0=mv1+mv2
u1=v1+v2(1) vectorial addition
Also since it is elastic collision -
12mu21=12mv21+12m22
u21=v21+v22(2)
From (1)
u1.u1=(v1+v2).(v1+v2)
u21=v21+v22+2(v1.v2)(3)
From (2) and (3) we get
2v1.v2=0
v1.v2=0
So, line of impact is zero.
Hence, the answer is zero.

1218631_1270627_ans_7008b3ead2f147b2ae09637fd1dd6d2d.png

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