To calculate the work done during the kick, we can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
where:
- Work is measured in joules (J),
- Force is measured in newtons (N),
- Distance is measured in meters (m),
- \(\theta\) is the angle between the force and the direction of motion.
In this case, we assume the kick is directly in the direction of the ball's motion, so \(\theta = 0\) degrees (and \(\cos(0) = 1\)).
Given:
- Force = 1000 N
- Distance = 0.2 m
Now we can calculate the work done:
\[ \text{Work} = 1000 , \text{N} \times 0.2 , \text{m} \times \cos(0) \]
\[ \text{Work} = 1000 \times 0.2 \times 1 = 200 , \text{joules} \]
So, the amount of work done during the kick is 200 joules.