Ronald pushes a box up an inclined plane with 35% efficiency. If 224 joules of energy went into moving the box, how much energy did Ronald put into the inclined plane?(1 point)

Responses

189 joules
189 joules

640 joules
640 joules

78.4 joules
78.4 joules

145.6 joules

1 answer

To determine the total energy Ronald put into the inclined plane, we can use the efficiency formula:

\[ \text{Efficiency} = \frac{\text{Useful output energy}}{\text{Input energy}} \times 100% \]

Given that the efficiency is 35% (or 0.35 as a decimal) and the useful output energy is 224 joules, we can rearrange the formula to find the input energy (the energy Ronald put into the inclined plane):

\[ \text{Input energy} = \frac{\text{Useful output energy}}{\text{Efficiency}} \]

Plugging in the values:

\[ \text{Input energy} = \frac{224 \text{ joules}}{0.35} \]

Calculating that:

\[ \text{Input energy} = 640 \text{ joules} \]

So, Ronald put 640 joules of energy into the inclined plane.

The correct response is 640 joules.