A particle of mass m moving with a velocity u makes an elastic one dimensional collision with a stationary particle of mass m establishing a contact with it for extremely small time T. Their force of contact increases from zero to F0 linearly in time T4, remains constant for a further time T2 and decreases linearly from F0 to zero in further time T4 as shown. The magnitude possessed by F0 is
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a
muT
b
2muT
c
4mu3T
d
3mu4T
answer is C.
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Detailed Solution
Change in momentum = Impulse = Area under force-time graph∴ mv= Area of trapezium ⇒mv=12T+T2 F0⇒mv=3T4F0⇒F0=4mu3T