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)

Responses

0.01 joule
0.01 joule

0.0 joules
0.0 joules

25 joules
25 joules

100 joules

1 answer

The work done on an object is calculated using the formula:

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

In this case, the force exerted is 50 newtons, the distance raised is 0.5 meters, and the angle \(\theta\) between the force and the direction of motion is 0 degrees (since the force is applied vertically upwards along the direction of motion).

So, the calculation becomes:

\[ \text{Work} = 50 , \text{N} \times 0.5 , \text{m} \times \cos(0^\circ) \]

Since \(\cos(0^\circ) = 1\):

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

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

Thus, the person does 25 joules of work in raising the box.