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?
*
1 point
0.20 J
5.0 J
80 J
16 J
*
1 point
0.20 J
5.0 J
80 J
16 J
Answers
GPT-4o mini
To calculate the work done by the baker on the cart, you 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.
Assuming the force is applied in the same direction as the motion of the cart (\( \theta = 0^\circ \)), the cosine of 0 degrees is 1. Thus, the formula simplifies to:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Now substituting the values into the formula:
\[ \text{Work} = 20.0 \, \text{N} \times 4.0 \, \text{m} \]
Calculating this gives:
\[ \text{Work} = 80 \, \text{J} \]
So, the baker does **80 J** of work on the cart. The correct answer is **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.
Assuming the force is applied in the same direction as the motion of the cart (\( \theta = 0^\circ \)), the cosine of 0 degrees is 1. Thus, the formula simplifies to:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Now substituting the values into the formula:
\[ \text{Work} = 20.0 \, \text{N} \times 4.0 \, \text{m} \]
Calculating this gives:
\[ \text{Work} = 80 \, \text{J} \]
So, the baker does **80 J** of work on the cart. The correct answer is **80 J**.