please show all work ### Problem DescriptionYou are pulling a 20 kg sled up a snowy hill (no friction) by a rope. The angle of the hill is 10 degrees above the horizontal and the angle of the rope is 30 degrees with respect to the hill. You are pulling the sled with constant speed over a distance of 20 meters along the snowy surface of the hill.### Questions1. **What is the force you are applying with the rope on the sled during this pull?**2. **How much work is done by that force over the distance you pull it?**3. **If you let go of the rope at the 20-meter point, how fast will the sled be moving when it reaches the start again?**---### ExplanationThis problem involves calculating the force needed to pull a sled up an inclined plane, the work done by that force, and the velocity of the sled if it slides back down without friction.- **Force Calculation:** - Consider the gravitational force component acting along the hill. - Resolve the applied force vector using trigonometric functions.- **Work Done:** - Use the formula \( \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \).- **Velocity of the Sled:** - Use energy conservation principles to find the velocity when the sled returns to the start.

Given: mass, m = 20 kg distance travelled, S = 20 m

You are pulling a 20 kg sled up a snowy hill (no friction) by a rope. The angle of the hill is 10 degrees above the horizontal and the angle of the rope is 30 degrees with respect to the hill. You are pulling the sled with constant speed over a distance of 20 meters along the snowy surface of the hill.

You are pulling a 20 kg sled up a snowy hill (no friction) by a rope. The angle of the hill is 10 degrees above the horizontal and the angle of the rope is 30 degrees with respect to the hill. You are pulling the sled with constant speed over a distance of 20 meters along the snowy surface of the hill.