Suppose we could shrink the earth without changing its what fraction of its current radius would the free-fall acceleration at the surface be three times its present value?

at R/

Explanation:

The free-fall acceleration at the surface of Earth is given by

where

G is the gravitational constant

M is the Earth's mass

R is the Earth's radius

The formula can be rewritten as

(1)

We want to shrink the Earth at a radius R' such that the acceleration of gravity becomes 3 times the present value, so

g' = 3g

Keeping the mass constant, M, and substituting into the equation, we have

answer: its c lololo

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.