The heaviest train ever pulled by a single engine was over 2 km long. Suppose a force of 1.13 X 10^8 N is needed to overcome static friction in the train's wheels. If the coefficient of static friction is 0.741, what's the train's mass?

Answers

Answer 1

The overcoming force is equal to the friction. The train's mass is 15,560,880.5 Kg

What is Friction ?

Friction can simply be defined as a force that opposes the movement of an object in a plain surfaces.

Given that the heaviest train ever pulled by a single engine was over 2 km long. Suppose a force of 1.13 X 10^8 N is needed to overcome static friction in the train's wheels. If the coefficient of static friction is 0.741, what's the train's mass?

F = μN

Where

F = Frictional force = overcoming force = 1.13 X 10^8 Nμ = coefficient of static friction = 0.741N = Normal reaction = mg

Substitute all the necessary parameters

1.13 X 10^8 = 0.741N

N = 1.13 X 10^8/0.741

N = 152496626.2 N

N = mg

152496626.2 = 9.8m

m = 152496626.2/9.8

m = 15,560,880.5 Kg

Therefore, the mass of the train is 15,560,880.5 Kg.

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