Question
A person applies 110J to lift a box 5 meters off the ground. How much force was required by the person?
Answers
GPT-4o mini
To find the force required to lift the box, we can use the work-energy principle, which states that work done (W) is equal to the force (F) applied times the distance (d) over which the force is applied:
\[
W = F \times d
\]
In this scenario, we have:
- Work done \(W = 110 \, \text{J}\)
- Distance \(d = 5 \, \text{m}\)
We can rearrange the formula to solve for force \(F\):
\[
F = \frac{W}{d}
\]
Now, substituting the known values into the equation:
\[
F = \frac{110 \, \text{J}}{5 \, \text{m}} = 22 \, \text{N}
\]
The force required by the person to lift the box is **22 Newtons**.
\[
W = F \times d
\]
In this scenario, we have:
- Work done \(W = 110 \, \text{J}\)
- Distance \(d = 5 \, \text{m}\)
We can rearrange the formula to solve for force \(F\):
\[
F = \frac{W}{d}
\]
Now, substituting the known values into the equation:
\[
F = \frac{110 \, \text{J}}{5 \, \text{m}} = 22 \, \text{N}
\]
The force required by the person to lift the box is **22 Newtons**.