1.

A ball of mass `m` is projected with a speed `v` into the barrel of a spring gun of mass `M` initially at rest lying on a frictionless surface. The mass sticks in the barrel at the point of maximum compression in the spring. The fraction of kinetic energy of the ball stored in the spring isA. `m/M`B. `M/(m+M)`C. `m/(M+M)`D. none of these

Answer» Correct Answer - B
At maximum compression when `m` sticks to `M`,
`mv=(M+m)V`
` V=(mv)/(M+m)`
Fraction of `KE` stored in spring `f=(K_(i)-K_(f))/K_(i)`
`:. F=1-(1/2(M+m)V^(2))/(1/2mv^(2))impliesf=1(m/(M+m))=M/(M+m)`


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