A small electric motor produces a force of 5 N that moves a remote-control car 5 m every second. How much power does the motor produce? Give your answer in watts and horsepower.

Given:

Force, f = 5 N

Velocity, v = 5 m/s

Power, p = energy/time

Energy = mass * acceleration * distance

Poer, p = force * velocity

= 5 * 5

= 25 W.

Note 1 watt = 0.00134 horsepower

But 25 watt,

0.00134 hp/1 watt * 25 watt

= 0.0335 hp.

25 W

or

0.0335 hp

Explanation:

Power: This can be defined as the rate at which work is done. The S. I ubit of power is Watt (W).

The expression for Power in terms of force and velocity is given as,

P = F*V ... Equation 1

Where P = Power, F = force of the electric motor, V = Velocity of electric motor

Given: F = 5 N, V = 5 m/s.

Substitute into equation 2

P = 5*5

P = 25 W.

P = 25 W

or

P = 25 (0.00134) horse power

P = 0.0335 hp

Hence the motor produce a power of 25 W or 0.0335 hp