The gravitational potential energy (PE) of an object can be calculated using the formula:
PE = mgh
Where:
PE is the gravitational potential energy
m is the mass of the object
g is the acceleration due to gravity
h is the height or distance above the reference point (usually the ground)
In this case, you provided the weight of the object, which is 24 N. The weight of an object is the force due to gravity acting on it, and it can be calculated using the formula:
Weight = mg
Where:
Weight is the force due to gravity
m is the mass of the object
g is the acceleration due to gravity
Since you haven't provided the mass of the object, we can find it by rearranging the weight formula:
m = Weight / g
Now, we can calculate the mass of the object:
m = 24 N / 9.8 m/s² ≈ 2.45 kg
Now we have the mass (m = 2.45 kg), the height (h = 3.2 m), and the acceleration due to gravity (g ≈ 9.8 m/s²). Plugging these values into the formula for gravitational potential energy:
PE = mgh
= 2.45 kg × 9.8 m/s² × 3.2 m
≈ 76.736 J
Therefore, the gravitational potential energy of the object at a height of 3.2 m from the ground is approximately 76.736 joules (J).
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