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?
Answer: 0.5 W
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.