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A bullet of mass m travelling horizontal...

A bullet of mass m travelling horizontally with speed u strikes a wooden block of mass 'M' placed on a smooth horizontal plane. The penetration is assumed uniform and the bullet comes to rest after penetrating a distance 'd' into the block. Then choose the correct statement :

A

Ultimately the total loss of kinetic energy is `(mMu^(2))/(2(M+m))`

B

The value of the resistance force (assumed constant) offered by the wood is F = `(mMu^(2))/(2d(M+m))`

C

The distance covered by the bullet w.r.t. the ground before it comes to rest w.r.t. block is `(dm)/(M+m)`

D

The block moves greater distance than the bullet wrt ground.

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The correct Answer is:
A, B
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MOTION-CENTRE OF MASS-Exercise - 2 (Level-II)
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  2. A particle of mass m moving horizontal with v(0) strikes a smooth wedg...

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  5. A particle of mass m moving horizontal with v(0) strikes a smooth wedg...

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  6. Two identical balls are interconnected with a massless and inextensibl...

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  8. Figure shows three identical blocks 1,2 & 3 each of mass m kept on fri...

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  9. Two blocks A and B each of mass m are connected by a light spring of n...

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  10. Two blocks of mass m(1) and m(2), resting on a frictionless table, are...

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  11. For a two body system in absence of external forces, the kinetic ener...

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  12. Two ball A and B having masses 1kg and 2kg, moving with speeds 21m//s ...

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  13. A bullet of mass m travelling horizontally with speed u strikes a wood...

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  15. Two identical spheres A and B are free to move and I, rotate about the...

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  19. A particle moving with kinetic energy=3 J makes an elastic head-on col...

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  20. In an inelastic collision,

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