A man wishes to load a refrigerator onto a truck using a ramp at angle θ as shown inFigure A. He claims that less work would be required to load the truck if the length Lof the ramp were increased. Is his claim valid?

To determine if the man's claim is valid, we need to analyze the work required to load the refrigerator onto the truck using the ramp at different lengths.

1. First, let's understand the concept of work. Work is defined as the force applied to an object multiplied by the distance over which the force is applied. In this case, the force is the weight of the refrigerator, and the distance is the length of the ramp.

2. The work done to load the refrigerator onto the truck can be calculated using the formula: Work = Force x Distance x cos(θ), where θ is the angle of the ramp.

3. If the length of the ramp (L) is increased, the distance over which the force is applied also increases. Therefore, the work done to load the refrigerator would increase as well.

4. However, it's important to note that the force required to lift the refrigerator remains the same regardless of the ramp length. The weight of the refrigerator is constant, and it is the force that needs to be overcome to load it onto the truck.

5. Therefore, the man's claim that less work would be required to load the truck if the length of the ramp were increased is not valid. Increasing the length of the ramp would actually require more work to be done.

In conclusion, the man's claim is not valid. Increasing the length of the ramp would result in more work being required to load the refrigerator onto the truck.