Question

A tennis ball is thrown from the height h above the ground. If the ball strikes to the ground with elastic collision,what height will height will the ball achieve after the first collision?

A
he6
B
e2h
C
e3h
D
none of these

Solution

The correct option is B $$e^2h$$Given, Initial height = $$h$$ Coefficient of elasticity, $$e\equiv \dfrac{{{v}_{final}}}{{{v}_{inital}}}=\sqrt{\dfrac{{{K}_{final}}}{{{K}_{initial}}}}=\sqrt{\frac{{{K}_{1}}}{{{K}_{0}}}}$$ $${{K}_{1}}={{e}^{2}}{{K}_{0}}$$ $$mgh_1={{e}^{2}}mgh$$ $${{h}_{1}}={{e}^{2}}h$$ Hence, height after first collision is $${{e}^{2}}{h}$$Physics

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