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Two ball bearings of mass 10 space straight g spaceand 100 space straight g are lifted to a height of 2 space straight m above the ground and released. Calculate and compare the gravitational potential energy given to each ball bearing

Question

Two ball bearings of mass 10 space straight g spaceand 100 space straight g are lifted to a height of 2 space straight m above the ground and released. Calculate and compare the gravitational potential energy given to each ball bearing

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Solution

The gravitational potential energy (GPE) of an object can be calculated using the formula:

GPE = mgh

where: m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground.

For the first ball bearing with a mass of 10g (which is 0.01kg), the GPE is:

GPE = 0.01kg * 9.8m/s² * 2m = 0.196 Joules

For the second ball bearing with a mass of 100g (which is 0.1kg), the GPE is:

GPE = 0.1kg * 9.8m/s² * 2m = 1.96 Joules

So, the second ball bearing has 10 times more gravitational potential energy than the first one because it has 10 times more mass.

This problem has been solved

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