Question

A student pushes a box with a force of 10 newtons and moves it 3 meters. How much work is done?

*
1 point
3 joules
30 joules
13 joules
7 joules

Answer 1

Work is calculated using the formula:

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

where:
- \(\text{Force}\) is the applied force,
- \(\text{Distance}\) is the distance moved,
- \(\theta\) is the angle between the force and the direction of motion.

Assuming the force is applied in the same direction as the movement of the box (which means \(\theta = 0\) degrees and \(\cos(0) = 1\)), the calculation simplifies to:

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

Substituting the given values:

\[ \text{Work} = 10 \, \text{N} \times 3 \, \text{m} \]
\[ \text{Work} = 30 \, \text{J} \]

So, the amount of work done is **30 joules**.