Question

1. you exert a force of 100.0 n on a shopping cart. if you used 2750 j of energy, how far did you push the cart?

Explanation:

Step1: Recall the work formula

The work done \( W \) is given by the formula \( W = F \cdot d \), where \( F \) is the force applied and \( d \) is the distance moved. We know \( W = 2750 \, \text{J} \) and \( F = 100.0 \, \text{N} \), and we need to find \( d \). Rearranging the formula for \( d \), we get \( d=\frac{W}{F} \).

Step2: Substitute the values

Substitute \( W = 2750 \, \text{J} \) and \( F = 100.0 \, \text{N} \) into the formula: \( d=\frac{2750}{100.0} \).

Step3: Calculate the result

Performing the division, \( \frac{2750}{100.0}=27.5 \, \text{m} \).

Answer:

\( 27.5 \, \text{meters} \)