(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two steel balls, each of diameter 24.9 mm, moving in opposite directions at 4 m/s, run into each other head-on and bounce apart.

a. Compute an estimate for the time interval for which the balls are in contact.

b One of the balls is squeezed in a vise while precise measurements are made of the resulting amount of compression. The results show that Hooke's law is a fair model of the ball's elastic behavior. For one datum, a force of 24 kN exerted by each jaw of the vise results in a 0.4 mm reduction in the ball's diameter. The diameter returns to its original value when the force is removed. Modeling the ball as a spring, find its spring constant.

2. Relevant equations

F = kx

not sure about other equations

3. The attempt at a solution

a.

At first I tried to use impulse but failed..

I = F Δt, then I can't continue..

b.

F = kx

24 x 10^{3}= k * 0.4 x 10^{-3}

k = 6 x 10^{7}N / m

Do I get it right for part (b)?

Thanks

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# Homework Help: Ball in head-on collision and being squeezed

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