Question
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?
Answers
GPT-4o mini
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**.
\[
\text{Power} = \frac{\text{Work}}{\text{Time}}
\]
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**.