An electric motor is used to lift the weight of 2.0N through a vertical distance of 100 cm in 4 sec. What is the power output of the motor?
An electric motor is used to lift the weight of 2.0N through a vertical distance of 100 cm in 4 sec. What is the power output of the motor?
Explanation
Power (P) is defined as the rate at which work is done or energy is transferred. The formula to calculate power is:
P = W / t
Where:
W = work done (in Joules)
t = time (in seconds)
First, we need to calculate the work done (W) by multiplying the force (F) by the displacement (d):
W = F × d
= 2.0 N × 1.0 m ( converted 100 cm to 1.0 m)
= 2.0 J
Now, we can calculate the power output (P) by dividing the work done (W) by the time (t):
P = W / t
= 2.0 J / 4 s
= 0.5 W
So, the power output of the motor is 0.5 W.