High School

Find the acceleration due to gravity for a planet when a 375 kg object has 67,000 J of gravitational potential energy (GPE) and is 115 m in the air.

Answer :

Answer:

The formula for gravitational potential energy (GPE) is: GPE = mgh, where m is the mass of the object in kg, g is the acceleration due to gravity in m/s^2, h is the height of the object in meters.

We have GPE = 67,000J, m = 375kg and h = 115m.

Rearranging the formula we get:

g = GPE / (mh)

Substituting given values into the equation:

g = 67000 J / (375 kg x 9.81 m/s^2 x 115 m)

g ≈ 1.75 m/s^2

Therefore, the acceleration due to gravity on this planet is approximately 1.75 m/s^2.

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