Question

1. suppose a pulley with an ima of 2 was used with an input force of 50 n to lift a box that weighs 100 n a distance of 45 cm. what distance was the rope pulled? (1 point)

150 cm
135 cm
45 cm
90 cm

Explanation:

Step1: Recall IMA formula for distance

The Ideal Mechanical Advantage (IMA) formula related to distance is \( IMA=\frac{d_{input}}{d_{output}} \), where \( d_{input} \) is the distance the rope is pulled (input distance) and \( d_{output} \) is the distance the load is lifted (output distance). We need to find \( d_{input} \).

Step2: Rearrange the formula

Rearranging the formula for \( d_{input} \), we get \( d_{input}=IMA\times d_{output} \).

Step3: Substitute the values

Given \( IMA = 2 \) and \( d_{output}=45\space cm \). Substituting these values into the formula: \( d_{input}=2\times45 = 90\space cm \).

Answer:

90 cm