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A 50 N force acts on a body of mass 4 kg to change its potential energy from 30 J to 118 J. What is the height through which the body is moved?

A. 2.2 m
B. 4.2 m
C. 6.2 m
D. 8.2 m

Answer :

Final answer:

option a - 2.2m

The height through which the body is moved, when a force of 50N is applied on it causing a change in potential energy from 30J to 118J, is calculated using the formula for potential energy. Rearranging the formula to h = P.E / (m * g), gives h = 2.2m.

Explanation:

The question is about calculating the height at which a body is moved when a force is applied to it. The change in the potential energy (P.E) of the body can be calculated using the formula for potential energy, P.E = mgh, where m is the mass of the body, g is the acceleration due to gravity and h is the height. The difference in potential energy mentioned in the question (118J - 30J = 88J) is due to the work done by the force on the body.

To find the height, you can rearrange the formula to h = P.E / (m * g). With a force of 50N applied on a 4kg body, causing a change in potential energy (P.E) from 30J to 118J, we find h = 88J / (4kg * 10m/s^2), giving h = 2.2m. So, the correct answer is a) 2.2m.

Learn more about Potential Energy here:

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