Question

Derive mathamatically law of conservation of momentum

Answer 1

HIYA MATE.....

according to attachment....

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Answer 2

$\huge{HOWDY}$


Suppose a Truck and a Car are Moving in the Same direction but with Different Velocities.let the mass of the Truck be [m1] so that it's Initial Momentum is [m1.u1] and let the mass of the Car be [m2] so the that Initial Momentum would be [m2.u2].

Thus,the total Momentum of the Car and the Truck before Collision is [m1u1] + [m2u2].

Suppose the truck and the Car collide for a Short Time [t] .Due to Collision,the Velocities of the Truck and The Car will change.Let the Velocity of the Truck after the Collision be [v1] and the Velocity of the Car after the Collision be [v2].
Now the Total Momentum would be [m1v1] + [m2v2].Suppose during Collision the Truck Exerts a Force [f1] on the Car and in turn,the Car exerts a Force [f2] on the Truck.We will now find the Values of the Forces [f1] and [f2].This Can be done as follows
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HOPE THIS HELPS YOU OUT.