A 301 kilogram piano is being lifted at a steady speed from ground level straight upward to an apartment 10.0 meters above the ground. The crane that is doing the lifting produces a steady power of 415 watts. How long does it take to lift the piano?

I don't understand how to begin to solve the question.

power = work/time (W)

work = force * distance (J)
force = mass * g (N)

work = 301*9.8*10 = 29498J
power = 415J/sec

time = work/power = 71.08 s

To solve this question, we need to use the concept of power. Power is the rate at which work is done or energy is transferred. In this case, the power of the crane is given as 415 watts. We can use this power to find the time it takes to lift the piano.

The formula for power is:

Power = Work / Time

We know the power of the crane is 415 watts, and we need to find the time it takes to lift the piano. We can rearrange the formula to solve for time:

Time = Work / Power

To find the work done, we can use the formula:

Work = Force * Distance

In this case, the force is the weight of the piano, which we can find using the formula:

Force = mass * acceleration due to gravity

Since the piano is being lifted at a steady speed, the net force on the piano is zero and the upward force applied by the crane is equal to the weight of the piano.

Plugging in the values, we have:

Force = 301 kg * 9.8 m/s^2 = 2951.8 N (Newtons)

Now, we can calculate the work done:

Work = Force * Distance = 2951.8 N * 10.0 m = 29518 J (Joules)

Finally, we can use the work and power to find the time:

Time = Work / Power = 29518 J / 415 W = 71.1 seconds

Therefore, it takes approximately 71.1 seconds to lift the piano.