Question

diana raises a 1000 n piano a distance of 5.00 m using a set of pulleys. she pulls in 20.0 m of rope. what is the ideal mechanical advantage?
a 1
b 4
c 3
d 7

Explanation:

Step1: Recall the formula for IMA

The ideal mechanical advantage (IMA) for a pulley system is given by the formula \( IMA=\frac{d_{effort}}{d_{resistance}} \), where \( d_{effort} \) is the distance the effort force moves (rope pulled) and \( d_{resistance} \) is the distance the resistance force moves (object lifted).

Step2: Identify the values

Here, \( d_{effort} = 20.0\ m \) (rope pulled) and \( d_{resistance}=5.00\ m \) (piano lifted).

Step3: Calculate IMA

Substitute the values into the formula: \( IMA=\frac{20.0\ m}{5.00\ m}=4 \).

Answer:

b. 4