A person pushes a box with a force of 10 Newtons over a distance of 1 meter. How much work is done on the box?

1 answer

Work done is calculated using 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), and
  • \(\theta\) is the angle between the force and the direction of motion.

In this scenario, if the force is applied in the direction of the motion (which is typically assumed unless otherwise stated), then \(\theta = 0\) degrees, and \(\cos(0) = 1\).

Given:

  • Force \( F = 10 , \text{N} \)
  • Distance \( d = 1 , \text{m} \)

Now, applying the values into the formula:

\[ \text{Work} = 10 , \text{N} \times 1 , \text{m} \times \cos(0) = 10 , \text{N} \times 1 , \text{m} \times 1 = 10 , \text{J} \]

Thus, the work done on the box is 10 joules.