Question

a student wants to decrease the amount of force required to do work. how can the student accomplish this? by increasing the distance over which the force is applied by increasing the time over which the force is applied by decreasing the distance over which the force is applied by decreasing the time over which the force is applied

Explanation:

Step1: Recall the work formula

Work \(W = F\times d\) (where \(F\) is force and \(d\) is distance). If \(W\) is constant (assuming the work to be done is fixed), then \(F=\frac{W}{d}\).

Step2: Analyze the relationship between force and distance

From \(F=\frac{W}{d}\), when \(W\) is constant, if \(d\) increases, \(F\) decreases. Time \(t\) is not part of the work - force - distance formula (\(W = F\times d\), power \(P=\frac{W}{t}\) relates work and time, but the problem is about work and force). Decreasing distance would increase force (since \(F=\frac{W}{d}\), smaller \(d\) for fixed \(W\) gives larger \(F\)).

Answer:

by increasing the distance over which the force is applied