High School

Calculate the potential energy of a 93 kg person standing on a bridge 4.2 meters off the ground.

Answer :

The potential energy of the 93 kg person standing 4.2 meters off the ground is 3733.6 Joules.

What do you mean by potential energy?

Potential energy is the power that an object can store due to its position in relation to other objects, internal stresses, electric charge, or other circumstances.

To calculate the potential energy of a 93 kg person standing on a bridge 4.2 meters off the ground, we can use the formula for gravitational potential energy:

PE = mgh

Where PE is potential energy, m is the mass of the person, g is the acceleration due to gravity, and h is the height above the ground.

The acceleration due to gravity is approximately 9.8 m/s² on earth surface.

So, the potential energy of the person is:

PE = (93 kg) * (9.8 m/s²) * (4.2 m)

PE = 3733.6 J.

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Final answer:

The potential energy of a 93 kg person standing 4.2 meters above the ground is calculated using the formula PE = mgh, resulting in 3820.44 joules.

Explanation:

To calculate the potential energy of a 93 kg person standing on a bridge 4.2 meters off the ground, we use the formula PE = mgh, where m represents mass in kilograms, g represents the acceleration due to gravity (9.8 m/s2), and h represents the height in meters. By substituting the given values into the formula, we get PE = 93 kg × 9.8 m/s2 × 4.2 m.

Therefore, the potential energy of the person is 3820.44 joules.