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.