Question

An upward force is applied to a 6.0-kilogram box. This force displaces the box upward by 10.00 meters. What is the work done by the force on the box?

Answer 1

We know, the work done is given by W = Force*Displacement. Here, work is being done in lifting the object by applying the force = change in potential energy i.e. W = mgh = 6 kg * 9.8 m/s^2* 10 m = 588 Joules.

Answer 2

The correct answer to the question is 588 Joule i.e the work done by the force on the box is 588 Joule.

CALCULATION:

As per the question, the mass of the box m = 6.0 kg.

The upward displacement of the box is 10.00 m.

Hence, the height of the box h = 10 .00 m.

We are asked to calculate the work done by the force on the box.

When the upward force was applied to the box, the box moves up to a height of 10.00 m. Hence, the work done by the ball is nothing else than the potential energy gained by the ball.

The potential energy gained by the ball is calculated as -

                                       Potential energy P.E = mgh

                                                                          = 6 × 9.8 × 10 Joule

                                                                         = 588 Joule.

Here, g is known as the acceleration due to gravity and its value is $9.8\ m/s^2$.

Joule is the unit of energy.

We know that work done W = Potential energy gain.

Hence, the work done by the force on the box is 588 Joule.