Find the work done and power of an engine which can maintain a speed o

1.	Find the work done and power of an engine which can maintain a speed of 50 ms-1 for a train of mass 3 × 106 kg on a rough level track for 5 km. The coefficient of friction is 0.05. (Giving g = 10 ms-2)
Answer» Given : m = 3 × 10⁶ kg, v = 50 ms^-1 μ = 0.05, g = 10 ms^-2 S = 5 km = 5000 m P = ?, W = ? F = force of friction = μmg (Normal reaction, R = mg) ∴ P = Fv = μmgv or P = 0.05 × 3 × 10⁶ × 10 × 50 or P = 75 × 10⁶ watt or P = 75 × 10³ kW = 7.5 × 10⁴ kW Work done, W = FS = μmgS or W = 0.05 × 3 × 10⁶ × 10 × 5 × 10³ J or W = 75 × 10⁸ J.

Find the work done and power of an engine which can maintain a speed of 50 ms-1 for a train of mass 3 × 106 kg on a rough level track for 5 km. The coefficient of friction is 0.05. (Giving g = 10 ms-2)

Answer»

Given : m = 3 × 10⁶ kg, v = 50 ms^-1

μ = 0.05, g = 10 ms^-2

S = 5 km = 5000 m

P = ?, W = ?

F = force of friction = μmg

(Normal reaction, R = mg)

∴ P = Fv = μmgv

or P = 0.05 × 3 × 10⁶ × 10 × 50

or P = 75 × 10⁶ watt

or P = 75 × 10³ kW

= 7.5 × 10⁴ kW

Work done, W = FS = μmgS

or W = 0.05 × 3 × 10⁶ × 10 × 5 × 10³ J

or W = 75 × 10⁸ J.

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Find the work done and power of an engine which can maintain a speed of 50 ms-1 for a train of mass 3 × 106 kg on a rough level track for 5 km. The coefficient of friction is 0.05. (Giving g = 10 ms-2)

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