Question

A father drags his daughter on a sled in light-packed snow. He exerted 102 N of force with an angle of 39 degrees to the horizontal. He dragged her for 410 m of distance. What is the amount of work (in joules) done? (a) 39570 J (b) 34042 J (c) 28014 J (d) 41526 J

Answer 1

The amount of work done by the father dragging the sled is approximately 34,042 J.

Step-by-step explanation:

To calculate the amount of work done by the father dragging the sled, we need to use the formula:

Work = Force × distance × cos(θ)

Given that the force exerted by the father is 102 N and the angle to the horizontal is 39 degrees, and the distance dragged is 410 m, we can calculate the work:

Work = 102 N × 410 m × cos(39°)

Solving this equation gives us a work value of approximately 34,042 J.

Answer 2

The amount of work done by the father is determined as 32,500.2 J.

How to calculate the amount of work?

The amount of work done is calculated by applying the following formula as shown below.

W = Fd cosθ

where;

• F is the applied force
• d is the displacement of the daughter
• θ is the angle of inclination of the applied force

The given parameters include;

F = 102 N

d = 410 m

θ = 39⁰

The amount of work done is calculated as follows;

W = 102 N x 410 m x cos (39)

W = 32,500.2 J

Thus, the amount of work done by the father as he pushes the daughter is 32,500.2 J.