A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F 0 linearly in time T/2, and decreases linearly to zero in further time T/2. The magnitude of F 0 is
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In elastic one dimensional collision particle rebounds with same speed in opposite direction
i.e. change in momentum = 2 m u
But Impulse $= F \times T =$ Change in momentum
⇒ ⇒ $F_0 \times T = 2mu$ ⇒ ⇒ $F_0 = \frac{2 m u}{T}$
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