SUMMARY
The work produced by the engine of an 1100 kg car climbing a 50 m hill with a final speed of 25 m/s is calculated to be 882,750 J. This total work (W) is the sum of the work done against gravitational potential energy (W1) and the kinetic energy at the top of the hill (W2). The equations used include W = F(d) and F = ma, where the force is derived from the car's mass and gravitational acceleration. The solution involves calculating both potential and kinetic energy contributions to determine the total work output.
PREREQUISITES
- Understanding of Newton's Second Law (F = ma)
- Knowledge of gravitational potential energy calculations
- Familiarity with kinetic energy formulas
- Basic algebra for solving equations
NEXT STEPS
- Study gravitational potential energy calculations in physics
- Learn about kinetic energy and its implications in work-energy problems
- Explore the concept of work done by forces in various contexts
- Practice similar physics problems involving work, energy, and motion
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and energy concepts, as well as educators looking for examples of work-energy problems in real-world scenarios.