Two balls, A and B, each with a mass of m, are moving along ...

Question

Two balls, A and B, each with a mass of m, are moving along the same straight line on a frictionless horizontal surface. Ball A is moving with a velocity of 6 m/s, and Ball B is moving in the opposite direction with a velocity of -2 m/s. They collide elastically. Based on the experimental observations, the following guesses were made about the velocities of A and B after the collision. Which of the following velocity could be the result of the collision?

To solve this problem, we need to apply the principles of conservation of momentum and conservation of kinetic energy, as the collision is elastic.

Given:

Mass of both balls

Initial velocity of Ball A,

Initial velocity of Ball B,

The collision is elastic, meaning both momentum and kinetic energy are conserved.

Write the equations for conservation of momentum and kinetic energy.

Conservation of Momentum:

Since the masses are equal, the equation simplifies to:

Substitute the initial velocities:

Conservation of Kinetic Energy:

Again, since the masses are equal, this simplifies to:

Substitute the initial velocities:

Analyze the possible results.

Option A:

From Equation 1:

Physics

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Answer & Analysis

Answer

Analysis

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