2 blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k . The masses are moving to the right with auniform velocity v each , the heavier mass leading the lighter one . The spring has its natural length during these motion . Block B collides head on with the third block C of mass 2m at rest , the collision being completely inelastic .
1. The velocity of block B after collision is .......
2. The velocity of centre of mass of system of blocks A,B &C is .......
3.The maximum compression a
of the spring after collision is ......
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Answered by
17
Dear student,
Applying conservation of momentum.At maximum compression velocity of all the blocks is the same.mvo+2mvo=4mv1+mvo ( velocity of the rear mass does not change immediately as it is connected with spring).3mvo−mvo=4mv1v1=vo2Applying momentum conservation just before collision and at the time of maximum compressionmvo+2mvo=5m×vv=3v05
finally Applying conservation of energy at the moment just after collision
u will get maximum compression
I. e X!
√mv²•/5 k
Applying conservation of momentum.At maximum compression velocity of all the blocks is the same.mvo+2mvo=4mv1+mvo ( velocity of the rear mass does not change immediately as it is connected with spring).3mvo−mvo=4mv1v1=vo2Applying momentum conservation just before collision and at the time of maximum compressionmvo+2mvo=5m×vv=3v05
finally Applying conservation of energy at the moment just after collision
u will get maximum compression
I. e X!
√mv²•/5 k
Answered by
5
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