Question
A baker pushes a cart full of rolls with a force of 20.0 N for a distance of 4.0 m. The baker does ______ J of work on the cart. **Don't put units on your answer**
Answers
GPT-4o mini
To calculate the work done by the baker on the cart, you can use the formula:
\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]
where:
- \( \text{Force} = 20.0 \, \text{N} \)
- \( \text{Distance} = 4.0 \, \text{m} \)
- \( \theta \) is the angle between the force and the direction of motion. If the force is applied in the same direction as the motion, \( \theta = 0^\circ \), and \( \cos(0) = 1 \).
Thus, the work done is:
\[
\text{Work} = 20.0 \, \text{N} \times 4.0 \, \text{m} \times 1 = 80.0
\]
So, the baker does 80.0 J of work on the cart.
The answer is **80.0**.
\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]
where:
- \( \text{Force} = 20.0 \, \text{N} \)
- \( \text{Distance} = 4.0 \, \text{m} \)
- \( \theta \) is the angle between the force and the direction of motion. If the force is applied in the same direction as the motion, \( \theta = 0^\circ \), and \( \cos(0) = 1 \).
Thus, the work done is:
\[
\text{Work} = 20.0 \, \text{N} \times 4.0 \, \text{m} \times 1 = 80.0
\]
So, the baker does 80.0 J of work on the cart.
The answer is **80.0**.