A pulley is used to lift a piano weighing 1,000 N. The piano is lifted 3 m in 60 s. How much power is used?

1 answer

To calculate the power used to lift the piano, you can use the formula for power:

\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \]

First, we need to calculate the work done in lifting the piano. The work done against gravity is given by:

\[ \text{Work} = \text{Force} \times \text{Distance} \]

Here, the force is the weight of the piano (1,000 N) and the distance is the height it is lifted (3 m).

Calculating the work:

\[ \text{Work} = 1000 , \text{N} \times 3 , \text{m} = 3000 , \text{J} \]

Next, we have to find the time, which is given as 60 seconds. Now we can calculate the power:

\[ \text{Power} = \frac{3000 , \text{J}}{60 , \text{s}} = 50 , \text{W} \]

Therefore, the power used to lift the piano is 50 watts.