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Answer :
Final answer:
The combined velocity of the two cars after the collision is approximately 0.907 m/s.
Explanation:
To find the combined velocity of two cars after a collision, we can use the principle of conservation of momentum. The total momentum before the collision is equal to the total momentum after the collision.
Using the equation:
- Initial momentum = Final momentum
- (mass of car 1 × velocity of car 1) + (mass of car 2 × velocity of car 2) = (combined mass of car 1 and car 2 × combined velocity)
- (mass of car 1 × velocity of car 1) + (mass of car 2 × velocity of car 2) = (mass of car 1 + mass of car 2) × combined velocity
Plugging in the given values:
- (1,196 kg × 2.1 m/s) + (1,575 kg × 0 m/s) = (1,196 kg + 1,575 kg) × combined velocity
- (2,515.6 kg·m/s) = (2,771 kg) × combined velocity
Solving for the combined velocity:
- combined velocity = (2,515.6 kg·m/s) ÷ (2,771 kg)
- combined velocity ≈ 0.907 m/s.
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