A gardener uses a wheelbarrow to move 20 kilograms of soil from a compost pile to a flower bed, a distance of 53 meters. The wheelbarrow has a mass of 17 kilograms. He expends 94.5 Newtons of force. How much work does the gardener do?(1 point)

Question

Responses

5,008.5 N
5,008.5 N

3,496.5 N
3,496.5 N

135.4 N
135.4 N

1,961 N

Answer 1

To find the amount of work done by the gardener, we can use the formula for work:

\[ \text{Work} = \text{Force} \times \text{Distance} \]

In this case, the force exerted by the gardener is 94.5 Newtons and the distance is 53 meters.

Now we'll calculate the work:

\[ \text{Work} = 94.5 , \text{N} \times 53 , \text{m} \] \[ \text{Work} = 5,003.5 , \text{N m} \] \[ \text{Work} = 5,003.5 , \text{J} \] (since 1 N m = 1 Joule)

Since we are rounding, the closest answer would be approximately:

5,008.5 J (if we consider rounding and measurement differences).

However, it's important to note that the actual calculated value is slightly lower, at 5,003.5 J, which does not exactly match any of the given responses. Therefore, among the provided choices, the best response is:

5,008.5 N.