# Problem: Suppose you toss a tennis ball upward.  (e) If the same amount of energy were imparted to a ball the same size as a tennis ball, but of twice the mass, how high would it go in comparison to the tennis ball?

###### FREE Expert Solution

Potential energy → stored energy

$\overline{)\mathbf{P}\mathbf{.}\mathbf{E}\mathbf{.}\mathbf{=}\mathbf{mgh}}$

PE ball 1 = PE ball 2 = PE

mass ball 1 = m1

mass ball 2 = 2 m1

$\frac{\mathbf{P}\mathbf{.}\mathbf{E}}{{\mathbf{m}}_{\mathbf{1}}\mathbf{g}}\mathbf{=}\frac{\overline{){\mathbf{m}}_{\mathbf{1}}\mathbf{g}}{\mathbf{h}}_{\mathbf{1}}}{\overline{){\mathbf{m}}_{\mathbf{1}}\mathbf{g}}}\phantom{\rule{0ex}{0ex}}{\mathbf{h}}_{\mathbf{1}}\mathbf{=}\frac{\mathbf{P}\mathbf{.}\mathbf{E}}{{\mathbf{m}}_{\mathbf{1}}\mathbf{g}}$

###### Problem Details

Suppose you toss a tennis ball upward.  (e) If the same amount of energy were imparted to a ball the same size as a tennis ball, but of twice the mass, how high would it go in comparison to the tennis ball?