8. Centripetal Forces & Gravitation

Which of the following is closest to the acceleration due to gravity on the surface of Pluto?

What is the approximate value of the acceleration due to gravity at the surface of the Earth?

If an object is dropped from rest near the surface of Mars, where the free-fall acceleration is $3.7 m/s^2$, what will be its velocity after falling for $4 s$?

For an object in free fall near the surface of the Earth (ignoring air resistance), what is the gain in speed per second, also known as the acceleration due to gravity?

Given that the average distance between the Moon and the Earth is approximately $3.84\times {10}^{8}m$ and the mass of the Earth is $5.97\times {10}^{24}\mathrm{kg}$, what is the magnitude of the acceleration of the Moon towards the Earth due to gravity? (Use $G=6.67\times {10}^{-}N{m}^2/{\mathrm{kg}}^2$)

What is the acceleration due to gravity on the surface of Mercury?

At a distance of $2R{E}_{-}$ from Earth's center, what is the acceleration due to gravity experienced by an object (neglecting atmospheric effects)?

An astronaut has a mass of $60$ kg on Earth. What is her mass on the Moon, where $g=1.62m/s^2$?

You stand on the surface of a mysterious planet with a mass of 6 ×10²⁴ kg and measure the surface gravity to be 7 m/s². What must the radius of the planet be?

How far would you have to be above Earth's surface for g to be ½ of its surface value?

A recently discovered extrasolar planet appears to be rockier and denser than earth. It is 16 times as massive as earth, but its diameter is only twice that of earth. What is the free-fall acceleration on the surface of this planet?