To rearrange the furniture in your room, you need to exert a force of 20 N to push your desk 10 m. How much work do you do?
Work = F*d = 20*10 = 200 Joules.
To calculate the work done, we need to use the formula:
Work = Force x Distance x cos(theta),
where:
- Work is the amount of work done (in joules, J).
- Force is the applied force (in newtons, N).
- Distance is the displacement of the object (in meters, m).
- theta is the angle between the direction of the force and the direction of displacement. Since the force and displacement are in the same direction, theta is 0 degrees (or cos(0) = 1).
Given that the force applied is 20 N and the distance moved is 10 m, we can substitute these values into the formula:
Work = 20 N x 10 m x cos(0)
= 20 N x 10 m x 1
= 200 Nm (or 200 J).
Therefore, you do 200 joules of work when you push your desk.