Question

question:
a student is pushing a box across the room. to push the box three times farther, the student needs to do how much work?

answer options:
select one of four
half as much \t three times as much
one - third as much \t the same amount

Explanation:

Step1: Recall Work Formula

Work \( W \) is calculated as \( W = F \cdot d \), where \( F \) is force and \( d \) is distance (assuming force is constant and in the direction of motion).

Step2: Analyze Distance Change

If the distance \( d \) becomes \( 3d \) (three times farther) and force \( F \) remains the same, substitute into the formula: \( W' = F \cdot (3d) = 3(F \cdot d) = 3W \). So work becomes three times as much.

Answer:

Three times as much