You use a rope to slowly pull a sled and its passenger 45 m up a 20∘ incline, exerting a 125-N force on the rope.

How much work did Earth do on the sled for the trip in Part B?

The answer for part is -5630 J

I'm not sure what to do. I tried -5630 J * 9.8
then I tried 125N * 45m *9.8 * cos20

I'm not sure what else to try.

Please help
Thank you!

no

To determine the work done by the Earth on the sled, you need to calculate the component of the force parallel to the direction of motion, and then multiply it by the distance moved.

First, find the component of the force parallel to the incline. This can be done using the equation:

Force_parallel = Force_applied * cos(angle)

where:
Force_applied = 125 N (the applied force)
angle = 20°

Substituting the values:
Force_parallel = 125 N * cos(20°)

Next, calculate the work done by multiplying the parallel force by the distance:

Work = Force_parallel * distance

Substituting the values:
Work = (125 N * cos(20°)) * 45 m

Calculating this expression will give you the work done by the Earth on the sled during the trip.

Note: The negative sign in front of the answer (-5630 J) indicates that work is done against the force of gravity.

To find the work done by the Earth on the sled, we need to consider the force applied by the Earth and the displacement of the sled. Work is defined as the product of force and displacement, multiplied by the cosine of the angle between the force and displacement vectors.

In this case, the force applied by the Earth is the gravitational force acting on the sled, which can be calculated using the formula:

Force = mass * acceleration due to gravity

Now, we need to determine the mass of the sled. To do this, we can use the fact that the force applied by the Earth is equal to the tension in the rope (125 N). So, the equation becomes:

125 N = mass * 9.8 m/s^2 (acceleration due to gravity)

Therefore, mass = 125 N / 9.8 m/s^2 ≈ 12.76 kg

Now that we know the mass, we can find the gravitational force acting on the sled:

Force = mass * acceleration due to gravity
Force = 12.76 kg * 9.8 m/s^2
Force ≈ 125.05 N

Now, we need to calculate the work done by the Earth on the sled using the equation:

Work = Force * displacement * cos(angle)

Plugging in the values:

Work = 125.05 N * 45 m * cos(20°)
Work = 125.05 N * 45 m * 0.9397 (cosine of 20°)
Work ≈ 5630 J

Therefore, the work done by the Earth on the sled for the given trip is approximately -5630 J. The negative sign indicates that the work done is against the direction of motion (up the incline).

work is ... force times distance

you have both ... 125 N , 45 m