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)

Responses

1,961 N
1,961 N

5,008.5 N
5,008.5 N

3,496.5 N
3,496.5 N

135.4 N

1 answer

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

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

Where:

  • Work is in Joules (J)
  • Force is in Newtons (N)
  • Distance is in meters (m)
  • \(\theta\) is the angle between the force and the direction of motion. If the force is applied in the direction of movement, \(\cos(\theta) = 1\).

In this case, the gardener exerts a force of 94.5 N to move a distance of 53 m. Assuming the force is applied in the direction of movement (\(\theta = 0\)), we have:

\[ \text{Work} = 94.5 , \text{N} \times 53 , \text{m} \times \cos(0) \]

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

Calculating this:

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

Thus, the amount of work done by the gardener is 5,008.5 J.

So the correct response is: 5,008.5 N (assuming that this is meant to represent work done in Joules, as typically, work is measured in Joules, but here it appears the choices refer to the work done in a similar format).