Evaluation in Testing the Conservation of Momentum in a Linear Collision

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Evaluation in Testing the Conservation of Momentum in a Linear Collision

The law of conservation of linear momentum states that in an isolated system, one in which external forces are absent, the total momentum before a collision is equal the total momentum after a collision. In physics, problems consist usually of two objects colliding in an isolated system. Since momentum is conserved, the sum of the momenta before the collision must be equivalent to the sum of momenta after the collision. Momentum is a conserved quantity, the inertia of motion, and mathematically the product of mass and velocity. Though velocity and acceleration are not conserved in collisions, however the product of mass and velocity is.

Demonstrated by an experiment conducted using an air track apparatus equipped with a ticker timer, a moving cart and a stationary cart colliding, the spacing between the data points help determine the velocities before and after the collision. In this experiment, a simple linear collision between a stationary and moving cart occurred. In measuring the distance between each dot before and after the collision with a fifty-millisecond interval, the velocities could be determined. Taking the product of the mass of the moving cart with two weights and the average velocity, results arrived with the total momentum before a collision. Multiplying the sum of the mass of the moving cart and the stationary cart, which had no weights, with the average velocity after the collision, the total momentum after the linear collision was determined.

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To verify or test the law of conservation of linear momentum, the cart with two weights is pushed with a finger and moves at constant velocity. Half way through the air track is a stationary cart with no weights. Once the carts collide, they stick together and move at a slower constant velocity. At this collision, velocity decreases as mass increases, meeting at equilibrium in momentum before and after a collision. This air track has a near frictionless surface enabling the cart to move at constant velocity.

There are many possible explanations for the results of this experiment along ...

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