Question

workers must move a new refrigerator into a home. this requires taking the refrigerator up steps that are 3 m high.they have two options for ramps to help move the refrigerator up the stairs. which of the answers below correctly compares the force and work required using each ramp?a the 15 m ramp will require a smaller force and require more workb the 10 m ramp will require a larger force and require more workc both ramps will require the same force and the same workd the 10 m will require a larger force and require the same work© 2013 - 2026 edcite inc

Explanation:

Step1: Analyze work done

Work done to lift the refrigerator equals the gravitational potential energy gained, which is $W = mgh$, where $m$ is mass, $g$ is acceleration due to gravity, $h=3\ \text{m}$ for both ramps. Since $m$, $g$, $h$ are identical, work is the same for both ramps.

Step2: Analyze force required

For an ideal ramp, the force needed is $F = \frac{mgh}{L}$, where $L$ is the length of the ramp. A longer ramp ($L=15\ \text{m}$) means smaller force, while a shorter ramp ($L=10\ \text{m}$) means larger force.

Answer:

D. The 10 m will require a larger force and require the same Work