Atrain is loaded with coal, doubling its weight and causing it to go at half the speed. what happens to the overall momentum? (consider the formulas p = mv and )

It remains the same

Explanation:

The Conservation of Momentum principle establishes that the initial momentum must be equal to the final momentum :

(1)

In the case of the train, its initial momentum is:

(2)

Where is the mass of the train and is the initial velocity of the train

And, its final momentum is:

(3)

Where:

since we are told the mass of the train is doubled

since we are told the velocity of the train goes to half

Hence:

(4)

(5)

(6)

This means the momentum of the train remains the same.

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.