if it takes 20 newtons to move a box, how long will it take a 20 watt motor to move the box 5 meters

To determine how long it will take a 20-watt motor to move the box 5 meters, we need to calculate the work done by the motor and then divide it by the power of the motor.

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

Given that it takes 20 newtons (N) of force to move the box and the distance is 5 meters (m), we can calculate the work done as follows:

W = 20 N x 5 m
W = 100 Nm (Joules)

The work done is 100 Joules.

Power (P) = Work (W) / Time (t)

Given that the power of the motor is 20 watts (W), we can rearrange the formula to solve for time:

Time (t) = Work (W) / Power (P)
t = 100 J / 20 W
t = 5 seconds

Therefore, it will take the 20-watt motor 5 seconds to move the box 5 meters.