Question
A baker pushes a cart full of rolls with a force of 20.0 N for a distance of 4.0 m. How much work does the baker do on the cart?
A.
0.20 J
B.
5.0 J
C.
16 J
D.
80 J
A.
0.20 J
B.
5.0 J
C.
16 J
D.
80 J
Answers
GPT-4o mini
To calculate the work done by the baker on the cart, we can use the formula for work:
\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]
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 scenario, since we assume that the force is applied in the same direction as the motion of the cart (which means \(\theta = 0^\circ\)), \(\cos(0^\circ) = 1\).
Given:
- Force \(F = 20.0 \, \text{N}\)
- Distance \(d = 4.0 \, \text{m}\)
Now we can calculate the work done:
\[
\text{Work} = 20.0 \, \text{N} \times 4.0 \, \text{m} \times 1 = 80.0 \, \text{J}
\]
Thus, the work done by the baker on the cart is \(80 \, \text{J}\).
The correct answer is **D. 80 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 scenario, since we assume that the force is applied in the same direction as the motion of the cart (which means \(\theta = 0^\circ\)), \(\cos(0^\circ) = 1\).
Given:
- Force \(F = 20.0 \, \text{N}\)
- Distance \(d = 4.0 \, \text{m}\)
Now we can calculate the work done:
\[
\text{Work} = 20.0 \, \text{N} \times 4.0 \, \text{m} \times 1 = 80.0 \, \text{J}
\]
Thus, the work done by the baker on the cart is \(80 \, \text{J}\).
The correct answer is **D. 80 J**.