The work done on the toboggan by the tension force is approximately 3156.26 joules.
To find the work done on the toboggan by the tension force, we can use the formula:
Work = Force x Distance x cos(theta)
Where:
Work is the work done (in joules, J)
Force is the magnitude of the force applied (in newtons, N)
Distance is the displacement of the toboggan (in meters, m)
theta is the angle between the force vector and the direction of displacement (in degrees)
In this case, the tension force is 105.0 N, and the distance is 35.0 m. The angle theta is given as 32.0° above the snow.
First, we need to convert the angle from degrees to radians:
theta_radians = theta * (π / 180)
theta_radians = 32.0° * (π / 180)
theta_radians ≈ 0.5585 radians
Next, we can calculate the work done:
Work = 105.0 N * 35.0 m * cos(0.5585 radians)
Using a calculator, we find:
Work ≈ 3156.26 J
Therefore, the work done on the toboggan by the tension force is approximately 3156.26 joules.