Answer:
on moon he can jump 4.2 m high
Explanation:
given data
gravitational acceleration on moon a(m) = 1/6
jump = 0.7 m
to find out
how high could he jump on the moon
solution
we know gravitational acceleration on earth a = g = 9.8 m/s²
so on moon am = [tex]9.8 * \frac{1}{6}[/tex] = 1.633 m/s²
so if he jump on earth his speed will be for height 0.7 m i s
speed v = [tex]\sqrt{2gh}[/tex]
v = [tex]\sqrt{2(9.8)0.7}[/tex]
v = 3.7 m/s
so if he hump on moon
height will be
height = [tex]\frac{v^2}{2*a(m)}[/tex]
put here value
height = [tex]\frac{3.7^2}{2*1.633)}[/tex]
height = 4.2 m
so on moon he can jump 4.2 m high
