Question

A firefighter applies a force of 2 N to lift the fire hose 3 meters up a ladder to put out a fire. How much work has the firefighter done?

6 N




6 J




5 N

Answer 1

The work is 6 J (Joule)

Step-by-step explanation:

Work is defined as the force that is applied on a body to move it from one point to another. When a net force is applied to the body or a system and this produces displacement, then that force is said to perform mechanical work.

In the International System of Units, work is measured in Joule. Joule is equivalent to Newton per meter.

The work is equal to the product of the force by the distance (displacement) and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves.

`Work=Force*distance*cos(angle)`

In this case, the angle between the force and the displacement is 0 degrees. This is because the force and displacement are in the same direction. So the cosine of 0 degrees will have a value of 1.

Also, in this case the force has a value of 2 N and the displacement or distance is 3 meters. So the work is:

Work= 2 N* 3 meters* cos(0)

Work= 2 N* 3 meters* 1

Work= 6 Joule

The work is 6 J (Joule)

Answer 2

6 J

Explanation: Work done(J) = Force(N) × Distance(m) along the direction of force.

Given, Force=2 N, Distance=3 meters

∴ Wok done (J) = 2 × 3 = 6 J.