Question

The force of gravity on the moon is 1/6 as large as on the earth. how does free-fall acceleration on the moon compare with free-fall acceleration on the earth? free-fall acceleration will be

a.the same on the earth and moon

b.6 times larger on the moon

c.1/3 as large on the moon

d.1/6 as large on the moon.

Answer 1

option b is right answer

Answer 2

Answer:

The free-fall acceleration on the moon compare with free-fall acceleration on the earth is $\dfrac{1}{6}$ as large on the moon.

d is correct.

Explanation:

Given that,

The force of gravity on the moon is 1/6 as large as on the earth.

$F'=\dfrac{F}{6}$

Using newton's second law

The force on the earth

F = ma

Where,

F = force on the earth

a = acceleration due to gravity on the earth

The force on the moon

F' = ma'

Where,

F' = force on the moon

a' = acceleration due to gravity on the moon

The ratio of the force on the earth and on the moon

$\dfrac{F}{F'}=\dfrac{ma}{ma'}$

$\dfrac{F}{\dfrac{F}{6}}=\dfrac{a}{a'}$

$a'=\dfrac{a}{6}$

The acceleration on the moon is $\dfrac{1}{6}$ times of the earth.

Hence, The free-fall acceleration on the moon compare with free-fall acceleration on the earth is $\dfrac{1}{6}$ as large on the moon.