Question

A force of 40 N is applied to a ball, and it travels 400 centimeters. What is the work done on the ball?(1 point)
Responses

0.10 J
0.10 J

16,000 J
16,000 J

160 J
160 J

10 J

Answer 1

To calculate the work done on the ball, use the formula:

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

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.

Assuming the force is applied in the direction of the motion (\(\theta = 0°\), where \(\cos(0°) = 1\)), we can simplify the formula to:

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

1. Convert the distance from centimeters to meters:
\[ 400 \text{ cm} = 4 \text{ m} \]

2. Now substitute the values into the formula:
\[ \text{Work} = 40 \text{ N} \times 4 \text{ m} = 160 \text{ J} \]

Therefore, the work done on the ball is **160 J**.