How long will it take a 230 W motor to lift a 335 kg piano to a sixth-story window 19.0 m above?

power= work/time

time(inseconds)=work/power= mgh/230

To determine the time it will take for a 230 W motor to lift a 335 kg piano to a sixth-story window 19.0 m above, we need to calculate the amount of work required to lift the piano and then use the power of the motor to estimate the time.

Step 1: Calculate the work done to lift the piano.
Work (W) is calculated by multiplying the force required to lift the piano by the distance over which the force is applied. In this case, the force required to lift the piano is equal to its weight, which can be calculated using the formula:
Weight = mass × acceleration due to gravity.

Weight = 335 kg × 9.8 m/s² (acceleration due to gravity)
Weight = 3283 N (Newtons)

Work (W) = Force × distance
Work = 3283 N × 19.0 m
Work = 62,177 N·m or Joules

Step 2: Calculate the time using power.
The power (P) of the motor is given as 230 W (watts). Power is the rate at which work is done, and it is calculated by dividing work by time:
Power (P) = Work (W) ÷ Time (t)

Rearranging the formula, we get:
Time (t) = Work (W) ÷ Power (P)

Time = 62,177 N·m / 230 W
Time ≈ 270.77 seconds

Therefore, it will take approximately 270.77 seconds to lift the 335 kg piano to a sixth-story window 19.0 m above using a 230 W motor.