A student does 60 joules of work pushing a 3kg box up the full length of a ramp that is 5 meters long. What is the magnitude of the force applied to the box to do this work?

To find the magnitude of the force applied to the box, we can use the equation for work:

Work (W) = Force (F) x Distance (d)

In this case, the work done is given as 60 joules and the distance is 5 meters. We need to solve for the force.

So, rearranging the equation:

Force (F) = Work (W) / Distance (d)

Substituting the given values:

Force (F) = 60 joules / 5 meters

Calculating the result:

Force (F) = 12 Newtons

Therefore, the magnitude of the force applied to the box to do this work is 12 Newtons.