Question

Mark pulls Allison and Mattie in a wagon by exerting a force of 20 pounds on the handle at an angle of 3 = 30° with the horizontal (See the figure below.) How much work is done by Mark in pulling the wagon / -150 feet? (Round your answer to the nearest whole number.)

Answer 1

Answer: Therefore, the work done by Mark in pulling the wagon over a distance of -150 feet is approximately -2598 pounds-feet.

Explanation:Work = Force × Distance × cos(θ)

where

- Force is the amount of force applied by Mark (20 pounds in this case),

- Distance is the distance over which the force is applied (-150 feet in this case), and

- θ is the angle between the force vector and the direction of motion (30° in this case).

First, let's convert the angle from degrees to radians:

θ_radians = 30° × (π/180) ≈ 0.5236 radians

Now we can substitute the values into the formula:

Work = 20 pounds × (-150 feet) × cos(0.5236 radians)

Calculating the cosine of 0.5236 radians, we get:

cos(0.5236 radians) ≈ 0.866

Now we can plug in the values and calculate the work:

Work = 20 pounds × (-150 feet) × 0.866 ≈ -2598

Rounding the answer to the nearest whole number, we get:

Work ≈ -2598 pounds-feet