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Conservation Of Linear Momentum Example

With velocities, v and V, two bodies of mass m and M are travelling in opposing directions. We must determine the system's velocity if they collide and move together after the impact. Momentum will be conserved since there is no external force acting on the system of two bodies.

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Answer:

The mass (m) and velocity (v) of an item are used to calculate linear momentum. It is more difficult to halt an item with more momentum. p = m v is the formula for linear momentum. Conservation of momentum refers to the fact that the overall quantity of momentum never changes. Let’s learn more about linear momentum and momentum conservation.

Linear Momentum of System of Particles

We know that the particle’s linear momentum is:

p = m v

where p represents the particle’s momentum.

For a single particle, Newton’s second law is:

F = dP ⁄ dt,

where F represents the particle’s force.

The total linear momentum of ‘n‘ particles is:

P = p1 + p2 + …. + pn

Each momentum is expressed as m1 v1 + m2 v2 +………..+mn vn.

The velocity of the centre of mass is expressed as:

V = ∑ mi vi ⁄ M

M V = ∑ mi vi

So, when we compare these equations, we get:

P = M V

Explanation:

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