Question
1. The electric motor of a . model train accelerates the train from rest to 2m/s in 20ms.The total mass of the train is 20,000 g. Find the average power delivered to the train .during the acceleration.
Solution
4.2
(290 Votes)
Sergio
Veteran ยท Tutor for 9 years
Answer
Here's how to calculate the average power:1. **Convert units:** * Mass: 20,000 g = 20 kg * Time: 20 ms = 0.02 s2. **Calculate the change in kinetic energy:** * Initial kinetic energy (at rest): 0 J * Final kinetic energy: (1/2) * m * v^2 = (1/2) * 20 kg * (2 m/s)^2 = 40 J * Change in kinetic energy: 40 J - 0 J = 40 J3. **Calculate average power:** * Average power = Change in kinetic energy / Time = 40 J / 0.02 s = 2000 WTherefore, the average power delivered to the train during acceleration is 2000 W.