a bullet of mass 10g traveling horizontally with a velocity of 150m/s collides with and sticks to a stationary wooden of mass 5kg . then both move off together same line. calculate the velocity with which they move
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The Answer is 50N
Explanation:
Initial velocity of the bullet, u=150 ms
−1
Final velocity of the bullet, v=0
Mass of the bullet, m=10 g=0.01 kg
Time taken by the bullet to come to rest, t=0.03 s
Let distance of penetration be s
v=u+at
0=150+a(0.03)
⟹a=−5000 ms
−2
(- sign shows retardation)
v
2
=u
2
+2as
0=150
2
+2×(−5000)×s
s=2.25 m
Magnitude of the force exerted by the wooden block, ∣F∣=m∣a∣
∣F∣=0.01×5000=50 N
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