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

1,961 N
1,961 N

135.4 N

Answer 1

To calculate the work done by the gardener, we can use the formula for work:

\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]

In this case, we can assume that the force is applied in the same direction as the movement, so \(\theta = 0\) degrees and \(\cos(0) = 1\).

Given:

• Force (F) = 94.5 Newtons
• Distance (d) = 53 meters

Now we can substitute the values into the formula:

\[ \text{Work} = 94.5 , \text{N} \times 53 , \text{m} \]

Calculating this:

\[ \text{Work} = 94.5 \times 53 = 5,008.5 , \text{Joules} \]

So, the correct response is:

5,008.5 N