Question

If an astronaut can jump straight up to a height of 0.6 m on earth, how high could he jump on the moon?

Answer 1

Step-by-step explanation:

Given

Person on earth can jump to a height
`s=0.6\ m`

initial velocity is u

using

`v^2-u^2=2as`

where v=final velocity

u=initial velocity

a=acceleration

s=displacement

final velocity is zero

`s=(u^2)/(2g)`

`0.6=(u^2)/(2g)-----1`

On moon surface acceleration due to gravity is \frac{1}{6}[/tex] th of earth gravity

so height attained is given by

`h=(u^2* 6)/(2\cdot g)-----2`

divide 1 and 2 we get

`h=6* 0.6=3.6\ m`