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

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 =  $9.8 * \frac{1}{6}$  = 1.633 m/s²

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

speed v = $\sqrt{2gh}$

v = $\sqrt{2(9.8)0.7}$

v = 3.7 m/s

so if he hump on moon

height will be

height = $\frac{v^2}{2*a(m)}$  

put here value

height =  $\frac{3.7^2}{2*1.633)}$  

height = 4.2 m

so on moon he can jump 4.2 m high