a bullet of mass 20gm moving with a velocity of 300m/s gets embedded in a freely suspended wooden block of mass 880gm. what is the velocity acquired by the block?
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Answer:
applying conservation of momentum
momentum of system before = momentum of system after
(.02×300)+.88×0=(.02×0)+.88×v
6=.88v
v=6/.88
v=6.81m/s
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2
Explanation:
This is completely inelastic collision. The linear momentum is conserved.
If a body of mass, m collides with a body of mass M and gets embedded in it, according to law of conservation of momentum,
mv =( m+M)V.
Here,
m is mass of colliding body. m= 20 g.
M is mass of target body. M=880 g.
v=300m/s is velocity of colliding body.
V= ? V is velocity of combined system of m and M.
Therefore 20(g).300(m/s)=(880+20)( g)V(m/s.)OR
V=6000/900=6.67 m/s.
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