To calculate the work done on the ball, 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), and
- \(\theta\) is the angle between the force and the direction of motion.
Assuming the force is applied in the same direction as the motion of the ball (\(\theta = 0\) degrees, thus \(\cos(0) = 1\)), we can simplify the equation to:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
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Convert the distance from centimeters to meters: \[ 400 , \text{cm} = 4 , \text{m} \]
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Now substitute the values into the formula: \[ \text{Work} = 40 , \text{N} \times 4 , \text{m} \] \[ \text{Work} = 160 , \text{J} \]
Therefore, the work done on the ball is 160 J.