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
Expert Verified
4.2(290 Voting)
SergioVeteran · Tutor for 9 years
Answer
Here's how to calculate the average power:<br /><br />1. **Convert units:**<br /> * Mass: 20,000 g = 20 kg<br /> * Time: 20 ms = 0.02 s<br /><br />2. **Calculate the change in kinetic energy:**<br /> * Initial kinetic energy (at rest): 0 J<br /> * Final kinetic energy: (1/2) * m * v^2 = (1/2) * 20 kg * (2 m/s)^2 = 40 J<br /> * Change in kinetic energy: 40 J - 0 J = 40 J<br /><br />3. **Calculate average power:**<br /> * Average power = Change in kinetic energy / Time = 40 J / 0.02 s = 2000 W<br /><br />Therefore, the average power delivered to the train during acceleration is 2000 W.<br />
Click to rate: