A 25.0 kg block is very slowly raised up a vertical
distance of 10.0 m by a rope attached to an
electric motor in a time of 8.2 s. Calculate the
power developed in the motor.
Hey, I already know how. You try this time.
To calculate the power developed in the motor, we can use the formula:
Power = Work/Time
First, let's calculate the work done to raise the block:
Work = Force × Distance
The force exerted on the block is equal to its weight, which is given by:
Force = Mass × Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s². Therefore, the force exerted on the block is:
Force = 25.0 kg × 9.8 m/s²
Now, let's calculate the work done:
Work = Force × Distance
Work = (25.0 kg × 9.8 m/s²) × 10.0 m
Finally, we can determine the power developed in the motor:
Power = Work/Time
Power = (25.0 kg × 9.8 m/s² × 10.0 m) / 8.2 s
Calculating this expression will give us the power developed in the motor.