What is the final velocity of the objects after the collision?
Calculation of Final Velocity:
Initial Momentum: Total initial momentum = Mass x Velocity
Initial Momentum: 10 kg x 10 m/s = 100 kg m/s
According to Conservation of Momentum: Total final momentum = Total initial momentum
Total Final Momentum: 100 kg m/s
After the collision, the ball and the box together have a total mass of 10.5 kg (0.5 kg from the ball and 10 kg from the box).
Final Velocity Calculation: Final velocity = Total final momentum ÷ Total final mass
Final Velocity Calculation: 100 kg m/s ÷ 10.5 kg = 5 m/s
Therefore, the final velocity of the objects after the collision is 5 m/s, and this can be determined by applying the conservation of momentum principle.