calculate the acceleration due to gravity on the Moon. The moon's radius is 1.74x10^6 m and its mass is 7.35x10^22 kg
The answer is 1.6 m/s

Question

calculate the acceleration due to gravity on the Moon. The moon's radius is 1.74x10^6 m and its mass is 7.35x10^22 kg
The answer is 1.6 m/s

jamesj · Answer

What is Newton's Universal Law of Gravitation?  That is what you need to use here.

jamesj · Answer

Suppose M is the mass of the moon and R its radius.  Suppose a body m is falling towards the moon.  Then the force on m is
$$ F = \frac{GMm}{R^2} $$
This is Newton's Universal Law of Gravitation.  Now, by Newton's second law, we also know that:
$$ F = ma $$

Combine these two equations to find an expression for the acceleration, $ a $.