A sled if pulled over level snow a distance of 0.500 km by a force of 124 n applied to a rope that makes an angle of 35.0 degrees with the snow. How much work is done?

124 cos 35 = 101.6 newtons is the force component along the direction of motion.

Multiply that by 500 m for the work done, in Joules

To find the work done, we can use the formula:

Work = Force * Distance * cos(theta)

Where:
Force = 124 N (applied force)
Distance = 0.500 km = 500 m (distance covered by the sled)
theta = 35.0 degrees (angle between the applied force and the direction of motion)

First, let's convert the distance from kilometers to meters:

Distance = 0.500 km * 1000 m/km = 500 m

Now, we can calculate the work:

Work = 124 N * 500 m * cos(35.0 degrees)

To find the value of cos(35.0 degrees), we can use either a calculator or a trigonometric table.

Using a calculator:
cos(35.0 degrees) ≈ 0.8192

Work = 124 N * 500 m * 0.8192
Work ≈ 40,960 J

Therefore, the work done is approximately 40,960 J (Joules).

To calculate the work done in this scenario, we can use the formula:

Work = Force * Distance * cos(angle)

First, let's convert the given distance from kilometers to meters:

Distance = 0.500 km * 1000 m/km
Distance = 500 m

Now we can substitute the given values into the formula:

Work = 124 N * 500 m * cos(35.0 degrees)

However, remember that trigonometric functions in most programming languages and calculators use radians instead of degrees. So, we need to convert the angle from degrees to radians first:

Angle in radians = 35.0 degrees * pi/180 degrees
Angle in radians ≈ 0.610865 radians

Now we can substitute the values into the formula:

Work = 124 N * 500 m * cos(0.610865 radians)

Calculating the cosine of the angle, we get:

Work = 124 N * 500 m * 0.82534

Multiplying everything together, we obtain the work done:

Work ≈ 51,335 J (Joules)

Therefore, the work done to pull the sled over the level snow is approximately 51,335 Joules.