Question

A baker propels a cart filled with rolls, applying a force of 20.0 N over a distance of 4.0 m. What is the total work done by the baker on the cart?(1 point)
Responses

5.0 J
5.0 J

0.20 J
0.20 J

80 J
80 J

40 J

Answer 1

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.

In this case, it appears that the force is applied in the direction of the cart's movement, which means \(\theta = 0\) degrees. The cosine of 0 degrees is 1.

Given:
- Force = 20.0 N
- Distance = 4.0 m

Now, substitute these values into the formula:

\[ \text{Work} = 20.0 \, \text{N} \times 4.0 \, \text{m} \times \cos(0) \]
\[ \text{Work} = 20.0 \, \text{N} \times 4.0 \, \text{m} \times 1 \]
\[ \text{Work} = 80 \, \text{J} \]

Thus, the total work done by the baker on the cart is **80 J**.