SUMMARY
The minimum work required to push an 800 kg car up a 930 m incline at a 9.0° angle can be calculated using the change in gravitational potential energy. The formula W = Fdcos(θ) is applicable, where F represents the gravitational force component along the incline. To find F, calculate the height increase using the sine of the incline angle and multiply it by the mass and gravitational acceleration (9.81 m/s²). The correct approach simplifies to determining the potential energy change rather than directly calculating force.
PREREQUISITES
- Understanding of gravitational potential energy
- Familiarity with trigonometric functions, specifically sine and cosine
- Basic knowledge of Newton's second law (F = mg)
- Ability to perform calculations involving angles in degrees
NEXT STEPS
- Calculate gravitational potential energy using the formula PE = mgh
- Learn how to resolve forces into components on inclined planes
- Study the relationship between work, force, and distance in physics
- Explore the implications of different incline angles on work calculations
USEFUL FOR
Students studying physics, engineers working on mechanical systems, and anyone interested in understanding work and energy concepts in inclined planes.