A person pushes a box. He applies a force of 400 newtons, and he pushes the box for a distance of 4 meters. After he stops pushing, the box slides forward another meter. How much work was done by the person?(1 point)

Question

Responses

2,000 joules
2,000 joules

100 joules
100 joules

1,600 joules
1,600 joules

400 joules

Answer 1

The work done by the person can be calculated using the formula:

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

Where:

• \(\text{Force} = 400 , \text{N}\)
• \(\text{Distance} = 4 , \text{m}\)
• \(\theta\) is the angle between the force and the direction of motion. Since the person is pushing in the same direction as the box is moving, \(\theta = 0\) degrees and \(\cos(0) = 1\).

Now, plugging in the values:

\[ \text{Work} = 400 , \text{N} \times 4 , \text{m} \times \cos(0) = 400 , \text{N} \times 4 , \text{m} \times 1 = 1600 , \text{joules} \]

The work done by the person is 1,600 joules.

So, the correct response is:

1,600 joules