you pull a sled along a horizontal surface by applying a force of 620 N at an angle of 42.0 degrees aboce the horizontal. How much work is doen to pull the sled 160m.
To find the work done in pulling the sled, we can use the formula:
Work = Force × Distance × cos(θ)
Where:
- Work is the amount of work done (in joules, J)
- Force is the magnitude of the applied force (in newtons, N)
- Distance is the distance over which the force is applied (in meters, m)
- θ (theta) is the angle between the applied force and the direction of motion (in degrees)
In this case, the force applied is 620 N, the distance is 160 m, and the angle is 42.0 degrees.
Therefore, let's plug in the values into the formula:
Work = 620 N × 160 m × cos(42.0 degrees)
To find cos(42.0 degrees), we can use a calculator or the trigonometric function:
cos(42.0 degrees) ≈ 0.7431
Now, substitute this value and calculate the work:
Work ≈ 620 N × 160 m × 0.7431
Work ≈ 73694.4 J
So, approximately 73694.4 joules of work is done to pull the sled over a distance of 160 meters.