Question

A 8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate. the acceleration of the train.

Answer 1

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Answer 2

Dear Student,

◆ Answer -

Acceleration = 1.944 m/s²

● Explanation -

Total mass of the train is calculated as -

Total mass = mass of engine + mass of wagons

Total mass = 8000 + 5×2000

Total mass = 18000 kg

Resultant force that involves in acceleration is -

Accelerating force = Force exerted by engine - Frictional force by track

Accelerating force = 40000 - 5000

Accelerating force = 3500 N

So now, acceleration of train is calculated as -

Acceleration = Force / mass

Acceleration = 35000 / 18000

Acceleration = 1.944 m/s²

Therefore, acceleration of the train is 1.944 m/s².

Thanks dear...