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
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.
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