Show how the law of conservation of momentum of an isolated system is a consequence of newton's third law of motion is the case of collision of two bodies?

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Show how the law of conservation of momentum of an isolated system is a consequence of newton's third law of motion is the case of collision of two bodies?

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With objects in contact the force each exerts on the other is the same size but opposite in direction. That’s the 3rd Law. It also implies that the forces act for the same amount of time.
Newton expressed his 2nd Law as the net force acting on something equals the rate of change in momentum of the thing. If two interacting objects necessarily experience opposite forces that last the same amount of time, they will also experience opposite changes in momenta.
Whenever one change in momentum is matched by an equal and opposite change in momentum, there is no overall change in momentum.

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Newton's CradleThe device consists of a row of five metal balls positioned to just barely touch one another suspended from a frame by thin wires. On a small cradles, the balls are hung from the crossbars by light wire, with the balls at the point of an inverted triangle. This ensures that the balls can only swing in one plane, parallel to the crossbars. If the ball could move on any other plane, it would impart less energy to the other balls in the impact or miss them altogether, and the device wouldn't work as well, if at all. All the balls are, ideally, exactly the same size, weight, mass and density. As long as the balls are all the same size and density, they can be as big or as small as you like. The balls must be perfectly aligned at the center to make the cradle work the best.When a ball on one end of the cradle is pulled away from the others and then released, it strikes the next ball in the cradle, which remains motionless. But the last ball on the opposite end of the row is thrown into the air, then swings back to strike the other balls, starting the chain reaction again in reverse. This device illustrates the three main principles of Physics - conservation of energy, conservation of momentum and friction. Everything that moves has momentum equal to its mass multiplied by its velocity. Like energy, momentum is also conserved. Momentum is a vector quantity, when 1st ball hits 2nd ball, it's traveling in a specific direction, let's say east to west. This means that its momentum is also moving east to west. Any change in direction of the motion brings a change in the momentum, which cannot happen without the influence of an outside force. That is why 1st ball doesn't simply bounce off 2nd ball, the momentum carries the energy through all the balls in a westward direction. It is to remember that the law of conservation only works in a closed system, which is free from any external force. The Newton's cradle is not a closed system. When 5th ball swings out away from the rest of the balls, it is affected by the force of gravity, which brings the ball down. But, the horizontal line of balls at rest, functions as a closed system, free from any influence of any force other than gravity. It's here, during the small time between the first ball's impact and the 5th ball swinging out, that momentum is conserved.Newton’s cradle illustrates the three main principles of Physics

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A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverse its direction and moves with a speed of 2 ms-1. Which of the following statement(s) is (are ) correct for the system of these two masses ?[JEE 2010]

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