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Two identical blocks each of mass M=9kg ...

Two identical blocks each of mass `M=9kg` are placed on a rough horizontal surface of frictional coefficient `mu=0.1`. The two blocks are joined by a light spring and block B is in contact with a vertical fixed wall as shown in figure. A bullet of mass `m=1kg` and `v_0=10m//s` hits block A and gets embedded in it. Find the maximum compression of spring. (Spring constant `=240N//m, g=10m//s^2`)

Text Solution

Verified by Experts

For the collision
`1xx10=10xxvrArrv=1` m/s
If x be the maximum compression

`1/2xx10xx1^(2)=mu(m+M)gx+1/2kx^(2)`
`5=10x+120x^(2)rArrx=1/6m`
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MOTION-CENTRE OF MASS-Exercise - 4 Level-II
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