Physics

To solve this problem, we can use the work-energy principle and the relationship between power, work, and time.

 

Calculate the work done by the motor

Power () is defined as work done per unit time, so:

Where:

is the power of the motor,

is the time taken to lift the mass,

is the work done by the motor.

 

Rearranging the formula to solve for work:

 

Relate the work to the gravitational potential energy

The work done to lift the mass is equal to the change in its gravitational potential energy. The formula for gravitational potential energy is:

Where:

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