a bullet of mass 20g moving with a velocity of 200m s get embedded in a wooden block of mass 980g . calculate the velocity acquired by the block.
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by the law of conservation of momentum,
20/1000 *200 + 980/1000 *0= 20/1000*0 + 980/1000*v
4=0.98v
v= 4.081 m per s
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1
Answer:
4m/s
Explanation:
Total momentum before collision
Mass of bullet (M) =20g=0.02kg
Mass of block (m) =980g=0.98kg
Velocity of bullet (V) =200m/s
Velocity of block (v) =0m/s
Total momentum=MV+mv
=0.02×200+0.98×0
=4
Total momentum after collision
Mass of bullet (M)=0.02kg
Mass of block (m)=0.98kg
[velocity of bullet and block are same after collision]
Velocity=?
Total momentum=Mv+mv
=v(M+m)
=v(0.02+0.98)=v×1
According to Law of Conservation of Momentum
Total momentum(before collision =after collision)
4=v×1
therefore v=4m/s
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