Question
If someone uses 15 newtons of force to throw a ball 2 meters forward, how much work is done? 30Nom 35 Nom 60 Nom
Ask by Mejia Simpson. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The work done is 30 Nom.
Solution
To calculate the work done when a force is applied over a distance, you can use the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Given:
- **Force (F)** = 15 newtons (N)
- **Distance (d)** = 2 meters (m)
Plugging in the values:
\[ \text{Work} = 15\, \text{N} \times 2\, \text{m} = 30\, \text{N·m} \]
Since 1 newton-meter (N·m) is equivalent to 1 joule (J), the work done is:
\[ \text{Work} = 30\, \text{J} \]
**Answer:** 30 Nom
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To calculate the work done, we use the formula: Work = Force × Distance × cos(θ), where θ is the angle between the force and the direction of movement. In this case, if the force is applied in the same direction as the movement, θ is 0 degrees (cos(0) = 1). So, the work done is 15 N × 2 m × 1 = 30 Joules (or 'N·m'). If you scored 30 Joules, congratulations! That aligns perfectly with the laws of physics. Just remember, if the direction were to change, you'd need to adjust that angle for the calculation—no misleading trigonometry here!
