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?

Responses

189 joules

640 joules

145.6 joules

78.4 joules

1 answer

To find out how much energy Ronald put into the inclined plane, we can use the formula for efficiency:

\[ \text{Efficiency} = \frac{\text{Useful Energy Output}}{\text{Energy Input}} \times 100% \]

Given that the efficiency is 35% and the useful energy output (which is the energy effectively used) is 224 joules, we can rearrange the formula to find the energy input:

\[ \text{Energy Input} = \frac{\text{Useful Energy Output}}{\text{Efficiency}} \]

Since we need to express efficiency as a decimal for the calculation:

\[ \text{Efficiency} = 35% = 0.35 \]

Now we can substitute the values into the equation:

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

Calculating this gives:

\[ \text{Energy Input} = \frac{224}{0.35} = 640 \text{ joules} \]

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

The answer is 640 joules.