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Question Number 20984 by Tinkutara last updated on 09/Sep/17

$$\mathrm{A}\mathrm{ball}\mathrm{of}\mathrm{mass}m\mathrm{is}\mathrm{moving}\mathrm{with}\mathrm{a}$$$$\mathrm{velocity}u\mathrm{rebounds}\mathrm{from}\mathrm{a}\mathrm{wall}\mathrm{with}$$$$\mathrm{same}\mathrm{speed}.\mathrm{The}\mathrm{collision}\mathrm{is}\mathrm{assumed}$$$$\mathrm{to}\mathrm{be}\mathrm{elastic}\mathrm{and}\mathrm{the}\mathrm{force}\mathrm{of}\mathrm{interaction}$$$$\mathrm{between}\mathrm{the}\mathrm{ball}\mathrm{and}\mathrm{the}\mathrm{wall}\mathrm{varies}\mathrm{as}$$$$\mathrm{shown}\mathrm{in}\mathrm{the}\mathrm{figure}\mathrm{given}\mathrm{below}.\mathrm{The}$$$$\mathrm{value}\mathrm{of}{F}_m\mathrm{is}$$

Commented by Tinkutara last updated on 09/Sep/17

Answered by dioph last updated on 09/Sep/17

$$\mathrm{\Delta }P=2mu$$$$\mathrm{\Delta }P={\int }_0^{2T}F\left(t\right)dt=F_{m}T$$$$F_{m}T=2mu$$$$F_m=\frac{2mu}{T}$$

Commented by Tinkutara last updated on 13/Sep/17

$$\mathrm{Thank}\mathrm{you}\mathrm{very}\mathrm{much}\mathrm{Sir}!$$

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