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A cart is loaded with a brick and pulled at constant speed along an inclined plane to the height of a seat-top.  If the mass of the loaded cart is 3.0 kg and the height of the seat top is 0.45 meters, then what is the potential energy of the loaded cart at the height of the seat-top?

Question

A cart is loaded with a brick and pulled at constant speed along an inclined plane to the height of a seat-top.  If the mass of the loaded cart is 3.0 kg and the height of the seat top is 0.45 meters, then what is the potential energy of the loaded cart at the height of the seat-top?

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Solution

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

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.

In this case:

m = 3.0 kg (the mass of the loaded cart), g = 9.8 m/s² (the acceleration due to gravity on Earth), and h = 0.45 m (the height of the seat top).

Substituting these values into the formula gives:

PE = 3.0 kg * 9.8 m/s² * 0.45 m = 13.23 Joules

So, the potential energy of the loaded cart at the height of the seat-top is 13.23 Joules.

This problem has been solved

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