A train of mass 1600 kg attains a speed of 25 ms - 1 in
PHYSICS
JAMB 2022
A train of mass 1600 kg attains a speed of 25 ms-1 in 20 seconds. The power developed in the engine is?
- A. 2.5 KW
- B. 80 KW
- C. 25 KW
- D. 50 KW
Correct Answer: D. 50 KW
Explanation
where force = f, mass = m, acceleration = a, velocity = v, time = t
Force = m * a → m * \(\frac{Δv}{t}\)
Power = f * v
P = m * \(\frac{v}{t}\) * v = m * \(\frac{v^2}{t}\)
p = \(\frac{1600 * 25^2}{20}\)
p = 50,000 or 50 KW
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