A sled which has a mass of 45kg is sitting on a horizontal surface. A force of 120 N is applied to a rope attached to the front of the sled such that the angle between the front of the sled and the horizontal is 35 degrees. As a result of the application of this force the sled is pulled a distance of 500m at a constant speed. How much work was done to this sled by the applied force? (49,100J)

force component in direction of motion = 120 cos 35 = 98.3 N

98.3 * 500 = 49,149 N

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To calculate the work done on the sled by the applied force, we can use the equation:

Work = Force x Distance x cos(angle)

Given:
Force = 120 N
Distance = 500 m
Angle = 35 degrees

First, let's convert the angle from degrees to radians:
Angle in radians = Angle in degrees x (π/180)

Angle in radians = 35 degrees x (π/180)
Angle in radians = 0.61 radians (approx.)

Now we can calculate the work done on the sled:

Work = Force x Distance x cos(angle)
Work = 120 N x 500 m x cos(0.61 radians)

Using a calculator:

Work = 120 N x 500 m x cos(0.61)
Work ≈ 120 N x 500 m x 0.7986
Work ≈ 47,914 J (rounded to the nearest whole number)

Therefore, the work done on the sled by the applied force is approximately 47,914 J.

To determine the amount of work done on the sled, we need to calculate the work done by the applied force.

The work done formula is given by:

Work = Force * Distance * cos(theta)

Where:
- Force represents the magnitude of the applied force
- Distance represents the displacement of the sled
- theta represents the angle between the direction of the applied force and the direction of motion of the sled

In this case, the force applied is 120 N, the sled is pulled a distance of 500 m, and the angle between the direction of the applied force and the direction of motion is 35 degrees.

Using the given values in the formula:

Work = 120 N * 500 m * cos(35 degrees)

To evaluate this, we need to convert the angle from degrees to radians since the cosine function requires an angle in radians.

First, we convert the angle from degrees to radians:

35 degrees * (π radians / 180 degrees) ≈ 0.61 radians

Substituting the value into the formula:

Work = 120 N * 500 m * cos(0.61 radians)

Calculating the value of cos(0.61 radians) approximately equals 0.799:

Work ≈ 120 N * 500 m * 0.799

Work ≈ 47940 J

Therefore, the work done on the sled by the applied force is approximately 47,940 J.