Questions: A student pulls a cart across the floor with a force of 10 N . If the cart travels 3 m , how much work does the student do on the cart? Round your answer to the nearest whole number. Please do not include units with your answer.

Solution Steps

The work done on an object is calculated using the formula:

\[ W = F \cdot d \cdot \cos(\theta) \]

where:

• \( W \) is the work done,
• \( F \) is the force applied,
• \( d \) is the distance over which the force is applied,
• \( \theta \) is the angle between the force and the direction of motion.

In this problem, the force \( F = 10 \, \text{N} \), the distance \( d = 3 \, \text{m} \), and the force is applied in the direction of motion, so \( \theta = 0^\circ \). The cosine of \( 0^\circ \) is 1.

Substitute the given values into the formula:

\[ W = 10 \, \text{N} \cdot 3 \, \text{m} \cdot \cos(0^\circ) = 10 \cdot 3 \cdot 1 = 30 \]

Final Answer