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The ball has a mass of 0.36 kg and is 2.9 m from a planet's surface.If the ball has 55 J of GPE, what is the gravitational field strength of this planet?_____ N/kgGive your answer to 2 significant figures.

Question

The ball has a mass of 0.36 kg and is 2.9 m from a planet's surface.If the ball has 55 J of GPE, what is the gravitational field strength of this planet?_____ N/kgGive your answer to 2 significant figures.

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Solution

The formula for gravitational potential energy (GPE) is:

GPE = mgh

where: m = mass (in kg) g = gravitational field strength (in N/kg) h = height (in m)

We can rearrange this formula to solve for g:

g = GPE / (m * h)

Substituting the given values:

g = 55 J / (0.36 kg * 2.9 m)

g = 52.63 N/kg

Rounded to two significant figures, the gravitational field strength of the planet is 53 N/kg.

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