Question
A forklift does 450 J of work to lift a 150 N hot tub. How high is the hot tub lifted? Round your answer to the nearest whole number.
The hot tub is lifted
m.
The hot tub is lifted
m.
Answers
GPT-4o mini
To find the height that the hot tub is lifted, we can use the work formula:
\[
\text{Work} = \text{Force} \times \text{Distance}
\]
In this case, the work done is 450 J, and the force (weight of the hot tub) is 150 N. We want to find the distance (height) that the hot tub is lifted, which we can denote as \( h \).
Rearranging the formula to solve for distance gives us:
\[
\text{Distance} = \frac{\text{Work}}{\text{Force}}
\]
Substituting in the values:
\[
h = \frac{450 \, \text{J}}{150 \, \text{N}} = 3 \, \text{m}
\]
Thus, the hot tub is lifted **3 m**.
\[
\text{Work} = \text{Force} \times \text{Distance}
\]
In this case, the work done is 450 J, and the force (weight of the hot tub) is 150 N. We want to find the distance (height) that the hot tub is lifted, which we can denote as \( h \).
Rearranging the formula to solve for distance gives us:
\[
\text{Distance} = \frac{\text{Work}}{\text{Force}}
\]
Substituting in the values:
\[
h = \frac{450 \, \text{J}}{150 \, \text{N}} = 3 \, \text{m}
\]
Thus, the hot tub is lifted **3 m**.