- #31
- 42,802
- 10,495
I get slightly less, but that should be close enough. Maybe you used a larger value for g.DeepPatel said:
Sledding Down a Hill: Calculating Friction and Velocity
Click For Summary
SUMMARY
The discussion focuses on calculating the work done by friction and the final velocity of a man sledding down a 20m high hill at a 30-degree angle, starting with an initial speed of 7m/s and experiencing a friction force of 22N. The work done by friction was calculated using the equation W=Fdcos(θ), resulting in 880J, which was then used to determine the final velocity. The final speed at the bottom of the hill, after accounting for the negative work done by friction, was found to be approximately 20.549 m/s.
PREREQUISITES- Understanding of mechanical energy conservation principles
- Familiarity with the work-energy theorem
- Knowledge of trigonometric functions for calculating distances on inclined planes
- Ability to manipulate equations involving kinetic and potential energy
- Study the work-energy theorem in detail
- Learn how to apply trigonometric functions in physics problems involving inclined planes
- Explore the concept of negative work and its implications in mechanical systems
- Practice problems involving conservation of mechanical energy with friction
Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of energy conservation and friction in real-world applications.