A person raises a box with a weight of 50 newtons by 0.5 meter. How much work does the person do in this action?(1 point)

Question

Responses

25 joules
25 joules

0.01 joule
0.01 joule

100 joules
100 joules

0.0 joules

Answer 1

To calculate the work done when lifting an object, you can use the formula:

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

In this case:

• The force (weight of the box) is 50 newtons.
• The distance lifted is 0.5 meters.
• The angle \( \theta \) is 0 degrees because the force and the movement are in the same direction (upward).

Since \(\cos(0) = 1\), the formula simplifies to:

\[ \text{Work} = 50 , \text{N} \times 0.5 , \text{m} \times 1 = 25 , \text{joules} \]

Therefore, the work done by the person is 25 joules.