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 one - third as much three times as much half as much the same amount

Explanation:

Step1: Recall the work formula

The formula for work is \( W = F \cdot d \), where \( W \) is work, \( F \) is force, and \( d \) is distance.

Step2: Analyze the change in distance

Assume the force \( F \) remains constant (since the student is pushing the same box, we can assume the force applied is constant). Initially, let the distance be \( d_1 \) and work be \( W_1 = F \cdot d_1 \). Now, the new distance \( d_2 = 3d_1 \).

Step3: Calculate the new work

The new work \( W_2 = F \cdot d_2 = F \cdot 3d_1 = 3(F \cdot d_1) = 3W_1 \). So when the distance is tripled (three times farther) with constant force, the work done is three times as much.

Answer:

Three times as much