Trevor's Efficient Ramp Work

What was the mechanical efficiency of using the ramp?

Trevor used a ramp to get a box into a truck. His input work was 700 J and the output work was 400 J. What was the mechanical efficiency of using the ramp?

A. 175%

B. 57.1%

C. 100%

D. 42.8%

Answer:

The mechanical efficiency of using the ramp was 57.1%.

When Trevor used a ramp to get a box into a truck, the input work he did was 700 J, while the output work was 400 J. To calculate the mechanical efficiency, we use the formula:

Mechanical Efficiency = (Output Work/Input Work) x 100%

Plugging in the values:

Mechanical Efficiency = (400 J / 700 J) x 100%

Mechanical Efficiency = 0.571 x 100%

Mechanical Efficiency = 57.1%

Therefore, the mechanical efficiency of using the ramp in this case was 57.1%, indicating that 57.1% of the input work was transformed into useful work output.