a small electric motor is used to lift a 0.50 kilogram mass at a constant speed. If the mass is lifted at a vertical distance of 1.5 meters in 5 seconds, the average power developed by the motor is
Answers
Answer:
1.47W
Explanation:
W.k.t formula for potential energy=mgh
Mass;distance;time are given
So it is easy to find power
Power=energy/time
=Mgh/t
When we apply this in formula we get the answer 1.47W/joule per second.
I hope this answer is correct and you can understand
Given:
- Mass = 0.50 Kg
- Distance = 1.5 m
- Time = 5 secs
To Find:
- The average power developed by the motor.
Solution:
The formula to find the power is given by,
Power = energy/time → {equation 1}
We need to find the value of energy in order to find power. The formula is,
Change in potential energy = m×g×h → {equation 2}
Where "m" is the mass, "h" is the height or distance, and "g" is the gravitational force.
On substituting the given values in equation 2 we get,
⇒ Energy = 0.50×9.8×1.5 {multiplying the terms}
⇒ Energy = 7.35 J
Now on substituting the value of "energy" and "time" in equation 1 we get,
⇒ Power = 7.35/5 {dividing the terms}
⇒ Power = 1.47 watts
∴ The average power developed by the motor = 1.47 watts.