Question

A student was asked to push a large box down the hallway about 35 meters. the task took the student five minutes and a force of 150 newtons. at what rate was the student pushing the box?

Answer 1

The student was pushing the box at a rate of 17.5 Watts, calculated by dividing the work done (force times displacement) by the time taken to move the box.

Step-by-step explanation:

The student is asking about the rate of work or power exerted by a student pushing a large box. The student pushed with a force of 150 Newtons and moved the box 35 meters in five minutes. To find the rate at which the student was pushing the box, we can use the formula for power (P), which is work (W) divided by time (t), where work is the product of force (F) and displacement (d), i.e., W = F * d.

Calculating the work done: W = F * d = 150 N * 35 m = 5250 Joules.

To convert the time from minutes to seconds: 5 minutes * 60 seconds/minute = 300 seconds.

Now, calculating the power: P = W/t = 5250 J / 300 s = 17.5 Watts.

Therefore, the rate at which the student was pushing the box was 17.5 Watts.

Answer 2

Rate of work or Power done by the student can be computed with below formulas.
1. Formula for Work
Work = Force x distance
Force or F = Force applied to the object
distance or d = displacement

2. Formula for Power
P = Work done / Time it was done or completed

Substituting the values we have,
Work or Work done = 150 N x 35 meters = 5250 J (unit of work).

Lastly computing for the rate we have,
Power or rate of work = 5250 J / 300 seconds (or 5 min) = 17.5 Joule/S or Watts

Answer is 17.5 watts