Calculating the Final Velocity of Combined Mass System after Collision

Explanation:

Initial Situation: Ball A is moving at a speed of 68.9 m/s, and Ball B is originally stationary.

According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Before the collision, the momentum of Ball A can be calculated using the formula: momentum = mass * velocity.

After the collision, the combined mass of Ball A and Ball B will be moving together at a common final velocity. Let's assume this final velocity as v. Therefore, the momentum of the combined mass system is: momentum = (mass of A + mass of B) * final velocity.

Setting the initial and final momenta equal to each other, we can solve for the final velocity: mass of A * initial velocity A = (mass of A + mass of B) * final velocity.

By substituting the given values (1.0 kg for each ball's mass), we simplify the equation to find that the final velocity of the combined mass system is 34.45 m/s (rounded to 1 decimal place).