Question
Jermaine used 12 newtons of force to push a box 4 meters down the driveway. How much work, measured in joules (J), did he do to move the box?
A.
3 J
B.
8 J
C.
16 J
D.
48 J
A.
3 J
B.
8 J
C.
16 J
D.
48 J
Answers
GPT-4o mini
To calculate the work done, you can use the formula:
\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]
where:
- Work is measured in joules (J),
- Force is measured in newtons (N),
- Distance is measured in meters (m),
- \(\theta\) is the angle between the force and the direction of motion.
In this case, if Jermaine is pushing the box in the same direction as the movement (down the driveway), \(\theta = 0\) degrees, and \(\cos(0) = 1\).
Given:
- Force = 12 N,
- Distance = 4 m,
The work done is:
\[
\text{Work} = 12 \, \text{N} \times 4 \, \text{m} \times 1 = 48 \, \text{J}
\]
So the answer is:
**D. 48 J**
\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]
where:
- Work is measured in joules (J),
- Force is measured in newtons (N),
- Distance is measured in meters (m),
- \(\theta\) is the angle between the force and the direction of motion.
In this case, if Jermaine is pushing the box in the same direction as the movement (down the driveway), \(\theta = 0\) degrees, and \(\cos(0) = 1\).
Given:
- Force = 12 N,
- Distance = 4 m,
The work done is:
\[
\text{Work} = 12 \, \text{N} \times 4 \, \text{m} \times 1 = 48 \, \text{J}
\]
So the answer is:
**D. 48 J**