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)

Question

Responses

50,000 joules
50,000 joules

10 joules
10 joules

200 joules
200 joules

5,000 joules

Answer 1

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

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

In this case, if we assume the force is applied in the direction of the distance (which is typically the case in a kick), then \(\theta = 0\) degrees, and \(\cos(0) = 1\). Therefore, the formula simplifies to:

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

Given:

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

Now, substituting the values into the formula:

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

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