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It is defined as the product of mass and velocity of the particle. It is a vector quantity.

For an object having mass , and velocity .

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In an isolated system, the total initial momentum of objects would be equal to the total final momentum of the objects.

Under inelastic collision, the kinetic energy of the system is not conserved. Some energy is lost due to the collision. But, the momentum is conserved.

For objects having mass , initial velocity , and final velocity .

In a completely inelastic collision, one body is moving with velocity and mass , and another body is at rest, having mass . And, after the collision, both bodies move with velocity .

In an isolated system, the total kinetic energy and the momentum of the object remain conserved under the elastic collision.

Here, one body is moving with velocity and mass , and another body is at rest, having mass . After the collision, the body moves with and respectively.

So, we can use the momentum equation and kinetic energy equation to write some formulas.

**Question 1: In an inelastic collision, the mass of a car is 650 kg, is moving with an initial velocity of 20 m/s. It then collides with a truck of mass 9200 kg, which is moving in the same direction with a velocity of 12 m/s. The velocity of the car after the collision is 16 m/s. What would be the velocity of the truck after they collide.**

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**Explanation: **We have given mass and velocity, let us apply the formula under inelastic collision.

So,

And, we have . Also,

Plug the values,

**Final answer: **The velocity of the truck after collision would be .

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**Question 2: A block with a mass of 30 kg, which is initially at rest on a frictionless surface. The block got hit by a moving object having a mass of 70 kg, and a velocity of 15 m/s. Consider complete inelastic collision, and find the final velocity.**

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**Explanation: **We have given mass and velocity, let us apply the formula under complete inelastic collision

And, we have

**Final answer: **The final velocity of the system would be .

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**Question 3: Under the elastic collision, a body having a mass of 10 kg, with an initial velocity of 5 m/s, collides with a block of mass of 25 kg. Find the final velocity of the body.**

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**Explanation: **We will use the formula from the elastic collision.

We have given,

Plug the values.

**Final answer: **The velocity of the body after collision would be . The negative sign indicates the direction would be opposite.

Have you ever wondered “what is momentum in Physics”? Momentum is measured as a product of its mass and velocity. It can also be referred to as the quantity of motion of a moving body, usually connoted by the symbol ‘p’. The definition of momentum can be summarized as such “p= m x v” where ‘m’ stands for mass and ‘v’ for velocity.

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