A train of mass 600 000 kg moves with a speed of 100 km h –1.What is the order of magnitude of the kinetic energy of the train?A 10 6 J B 10 8 J C 10 10 J D 10 12 J
Question
A train of mass 600 000 kg moves with a speed of 100 km h –1.What is the order of magnitude of the kinetic energy of the train?A 10 6 J B 10 8 J C 10 10 J D 10 12 J
Solution
To solve this problem, we first need to convert the speed of the train from km/h to m/s because the standard unit of speed in physics is m/s.
1 km/h = 1000 m/3600 s = 0.2778 m/s
So, 100 km/h = 100 * 0.2778 = 27.78 m/s
The formula for kinetic energy (K.E) is 1/2 * mass * (speed)^2.
Substituting the given values into the formula, we get:
K.E = 1/2 * 600000 kg * (27.78 m/s)^2 = 2.32 * 10^8 J
So, the order of magnitude of the kinetic energy of the train is 10^8 J. Therefore, the correct answer is B 10^8 J.
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