Calculate the average power required by the electric motors

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SUMMARY

The discussion centers on calculating the average power required by electric motors for a Swiss mountain railway car traveling from Zermatt to Gurnergrat. The car, with a total mass of 45 tons, ascends from 1608m to 3136m over a distance of 9km in 45 minutes. The average power can be determined using the formula for gravitational potential energy and the time taken for the journey. The calculations involve specific values for mass, height difference, and time, leading to a definitive conclusion about the power output needed.

PREREQUISITES
  • Understanding of gravitational potential energy calculations
  • Basic knowledge of power and work formulas
  • Familiarity with kinematics and motion equations
  • Concept of frictional forces in physics
NEXT STEPS
  • Study the formula for gravitational potential energy: PE = mgh
  • Learn how to calculate average power: P = Work/Time
  • Explore the effects of friction on motion and energy loss
  • Investigate the principles of inclined planes and their applications
USEFUL FOR

Physics students, engineers, and anyone interested in understanding the mechanics of electric motors and energy calculations in inclined systems.

shepwarp
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I have three questions that I am pretty confused about:

1. A slope rises 15m veritcally for every 40m of its length (in horizontal direction). A car of mass 1.25t travels a distance of 150m up the slope at uniform speed. Find the work done if the frictional resistance is 40N.

2. A body of mass 0.3kg slides from rest down a plane inclined at 30 degrees to the horizontal. After sliding 30m down the plane it is found to have a speed of 10m/s. How much work has been done in overcoming friction along the plane?

3. A Swiss mountain railway car of the rack and pinion type leaves Zermatt (1608m above sea level) at 9:30am and completes the 9km journey to the Gurnergrat (3136m above sea level) at 10:15am. If the car and the passengers together have a mass of 45t, calculate the average power required by the electric motors (neglect friction).
 
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