On the moon the acceleration of free fall is only about 1.6ms^(−2) . About how long should a boy be able to throw a ball there if he can throw it 10m high on earth? (g=10ms^(−2) )


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Question Number 47344 by Necxx last updated on 08/Nov/18

$O n t h e m o o n t h e a c c e l e r a t i o n o f$ $f r e e f a l l i s o n l y a b o u t 1.6 {m s}^{- 2} .$ $A b o u t h o w l o n g s h o u l d a b o y b e$ $a b l e t o t h r o w a b a l l t h e r e i f h e c a n$ $t h r o w i t 10 m h i g h o n e a r t h ?$ $(g = 10 {m s}^{- 2})$
	Answered by MrW3 last updated on 08/Nov/18

	$E n e r g y = \frac{1}{2} {m v}^{2} = {m g}_{e} h_{e} = {m g}_{m} h_{m}$ $\Rightarrow h_{m} = \frac{g_{e}}{g_{m}} h_{e} = \frac{10}{1.6} \times 10 = 62.5 m$ $h e c a n t h r o w t h a t b a l l 62.5 m h i g h o n$ $t h e m o o n .$
	Commented by Necxx last updated on 09/Nov/18

	$t h a n k y o u s i r .$ $i n c a s e o f o t h e r t i m e h o w a m i t o$ $k n o w t h e p a r t i c l e c o n c e p t t o h a v e$ $i n m i n d l i k e y o u u s e d e n e r g y f o r$ $t h i s .$
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