A bulet of mass m and velocity v strikes a mass M connected to a spring (k=spring constant) [the spring is placed horizontaly and other end is fixed.]and get embeded to it . Find the amplitude of oscilation.

Question

vikas askiitian expert · Answer

first applying conservation of momentam

mv = (M+m)V_f

V_f = mv/m+M

now , kinetic energy of block + mass = KE

KE = (m+M)V_f² /2

this system will stop moving when its all KE is converted into PE

so , KE = PE

KX² = (M+m)V_f²

X =[ m²v² /(M+m)K ]^1/2 = max amplitude

vikas askiitian expert · Answer

please approve my answers if they are correct

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A bulet of mass m and velocity v strikes a mass M connected to a spring (k=spring constant) [the spring is placed horizontaly and other end is fixed.]and get embeded to it . Find the amplitude of oscilation.

A bulet of mass m and velocity v strikes a mass M connected to a spring (k=spring constant) [the spring is placed horizontaly and other end is fixed.]and get embeded to it . Find the amplitude of oscilation.

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