Question

A motor-driven winch pulls the 50.0 kg student from the previous problem up the 5.00 m rope at a constant speed of 1.25 m/s. how much power does the motor use in raising the student?

Answer 1

To calculate the power used by the motor in raising the student, you can use the formula for power: Power = Force * Velocity. The force is equal to the weight of the student, which can be calculated using the formula: Weight = mass * gravity. The velocity is calculated by dividing the height of the rope by the time it takes to raise the student. Once you have the force and velocity, you can plug them into the power formula to find the power used by the motor.

Step-by-step explanation:

To calculate the power used by the motor in raising the student, we can use the formula for power: Power = Force * Velocity. In this case, the force is equal to the weight of the student, which can be calculated using the formula: Weight = mass * gravity. The velocity can be calculated by dividing the height of the rope by the time it takes to raise the student. Once we have the force and velocity, we can plug them into the power formula to find the power used by the motor.

Weight = mass * gravity = 50.0 kg * 9.8 m/s^2 = 490 N

Velocity = height / time = 5.00 m / 1.25 s = 4.00 m/s

Power = Force * Velocity = 490 N * 4.00 m/s = 1960 W