Question

A force of 400 N is used to push a 125 kg mass 40.0 m horizontally in 6.00 s.a. Calculate the work done on the mass.b. Calculate the power developed.

Answer 1

For this problem the folowwing quantities are given:

The force applied on the mass which is 400 N.

The mass of the object which is 125 kg (we won't need this but it is given).

The distance the mass moves which is 40 m

The time it takes the object to move this distance, 6 s.

a.

The work for a rectilinear motion with constant force is given by:

`W=Fd`

Plugging the values given we have:

`\begin{gathered} W=\left(400\right)\left(40\right) \\ W=1600 \end{gathered}`

Therefore, the work done on the mass is 1600 J.

b.

The power is given by:

`P=(W)/(t)`

Plugging the work we found and the time given we have:

`\begin{gathered} P=(1600)/(6) \\ P=266.67 \end{gathered}`

Therefore, the power developed is 266.67 W