An object has a gravitational potential energy of 24 joules when it rests on a shelf 3 m above the ground. What would be its gravitational potential energy when it is lowered to a shelf 1 m above the ground?
Question
An object has a gravitational potential energy of 24 joules when it rests on a shelf 3 m above the ground. What would be its gravitational potential energy when it is lowered to a shelf 1 m above the ground?
Solution
To solve this problem, we need to understand the formula for gravitational potential energy, which is PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground.
From the problem, we know that the gravitational potential energy of the object when it is 3 m above the ground is 24 joules. So, we can write the equation as follows:
24 = mg * 3
From this, we can solve for mg (the product of the mass of the object and the acceleration due to gravity):
mg = 24 / 3 = 8
Now, we want to find the gravitational potential energy of the object when it is 1 m above the ground. We can use the same formula, but replace h with 1:
PE = mg * 1 = 8 * 1 = 8 joules
So, the gravitational potential energy of the object when it is 1 m above the ground would be 8 joules.
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