Question

diana raises a 1000 n piano using a set of pulleys. she use 250 n force to pulls in 20.0 m of rope. what is the distance?
a 10 m
b 5 m
c 2 m
d 7 m

Explanation:

Step1: Recall Work Principle

Work input equals work output: \( W_{in} = W_{out} \), so \( F_{in} \times d_{in} = F_{out} \times d_{out} \).

Step2: Identify Values

\( F_{in} = 250\ N \), \( d_{in} = 20.0\ m \), \( F_{out} = 1000\ N \), find \( d_{out} \).

Step3: Rearrange Formula

\( d_{out} = \frac{F_{in} \times d_{in}}{F_{out}} \)

Step4: Substitute Values

\( d_{out} = \frac{250\ N \times 20.0\ m}{1000\ N} = \frac{5000}{1000} = 5\ m \)

Answer:

b. 5 m