A soccer player kicks a ball, applying a force of 1,000 newtons over a distance of 0.2 meter. The ball travels 50 meters down the field before another player stops the ball. How much work was done during the kick?(1 point) Responses 200 joules 200 joules 10 joules 10 joules 5,000 joules 5,000 joules 50,000 joules

1 answer

To calculate the work done during the kick, we can use the formula for work:

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

In this case, since the force is applied in the same direction as the distance the ball travels (assuming a direct kick), \(\theta = 0\) degrees and \(\cos(0) = 1\).

Given:

  • Force = 1,000 newtons
  • Distance = 0.2 meters

Now we can substitute the values into the work formula:

\[ \text{Work} = 1,000 , \text{N} \times 0.2 , \text{m} \times 1 = 200 , \text{joules} \]

Thus, the work done during the kick is 200 joules.