Question

How much work would a child do while pulling a 12-kg wagon a distance of 4.3 m with a 22 n force?

Answer 1

To calculate the work done by the child while pulling the wagon, we can use the formula:

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

where:

• Force is the magnitude of the force applied (22 N),
• Distance is the distance over which the force is applied (4.3 m),
• θ is the angle between the direction of the force and the direction of motion (assuming it's 0° since the child is pulling in the same direction as the motion).

Substituting the values into the formula:

$\text{Work}=22\text{N}\times 4.3\text{m}\times \cos (0°)$

Since the cosine of 0° is 1, the equation simplifies to:

$\text{Work}=22\text{N}\times 4.3\text{m}\times 1$

$\text{Work}=94.6\text{J}$

Therefore, the child would do 94.6 joules of work while pulling the 12-kg wagon a distance of 4.3 m with a 22 N force.