Question
kg bowling ball going 4m/s strikes a 9 kg bowling ball going -6m/s They have ifter the collision the 12 kg ball is going -3m/s What is the speed pf the 9 kg ball -5.5m/s 3.33m/s 5.5m/s
Solution
4.4
(246 Votes)
Drake
Master · Tutor for 5 years
Answer
Here's how to solve this collision problem using the principle of conservation of momentum:**Understanding Conservation of Momentum**In a closed system (where no external forces are acting), the total momentum before a collision is equal to the total momentum after the collision. Momentum is calculated as mass times velocity (p = mv).**Setting up the Equation*** **Before collision:** * Momentum of 12 kg ball: (12 kg) * (4 m/s) = 48 kg m/s * Momentum of 9 kg ball: (9 kg) * (-6 m/s) = -54 kg m/s * Total momentum: 48 kg m/s + (-54 kg m/s) = -6 kg m/s* **After collision:** * Momentum of 12 kg ball: (12 kg) * (-3 m/s) = -36 kg m/s * Momentum of 9 kg ball: (9 kg) * (v) = 9v kg m/s (where 'v' is the unknown velocity) * Total momentum: -36 kg m/s + 9v kg m/s**Solving for the Unknown Velocity (v)**Since the total momentum before and after the collision must be equal:-6 kg m/s = -36 kg m/s + 9v kg m/sNow, solve for v:1. Add 36 kg m/s to both sides: 30 kg m/s = 9v kg m/s2. Divide both sides by 9 kg: v = 30/9 m/s3. Simplify: v ≈ 3.33 m/s**Answer:**The speed of the 9 kg ball after the collision is approximately
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