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Question

An 8 gm bullet is fired horizontally into a 9 kg block of wood and sticks in it. The block which is free to move, has a velocity of 40 cm/s after impact. The initial velocity of the bullet is

A
450 m/s
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B
450 cm/s
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C
220 m/s
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D
220 cm/s
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Solution

The correct option is A 450 m/s
By using momentum conservation, we get,

m1u1+m2u2=(m1+m2)V

V=m1u1+m2u2m1+m2

But m1=8 gm,m2=9000gm,u2=0cms1,V=40cm1,u1=?

40=8u1+9(0)8+9000

u1=408(9008)=45040cms1450ms1

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