Question

The gravitational acceleration on the surface of the moon is 1/6 what it is on earth. If a man could jump straight up 0.7 m (about 2 feet) on the earth, how high could he jump on the moon?

Answer 1

on moon he can jump 4.2 m high

Step-by-step 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 =
`9.8 * (1)/(6)` = 1.633 m/s²

so if he jump on earth his speed will be for height 0.7 m i s

speed v =
`√(2gh)`

v =
`√(2(9.8)0.7)`

v = 3.7 m/s

so if he hump on moon

height will be

height =
`(v^2)/(2*a(m))`

put here value

height =
`(3.7^2)/(2*1.633))`

height = 4.2 m

so on moon he can jump 4.2 m high