A body of mass 18kg moving with velocity 4ms-1 collides with another body of mass...
FURTHER MATHEMATICS
WAEC 2022
A body of mass 18kg moving with velocity 4ms-1 collides with another body of mass 6kg moving in the opposite direction with velocity 10ms-1. If they stick together after the collision, find their common velocity.
- A. \(\frac{1}{2}\) m/s
- B. \(\frac{1}{3}\) m/s
- C. 2m/s
- D. 3m/s
Correct Answer: A. \(\frac{1}{2}\) m/s
Explanation
m1u1 + m2u2 = (m1 + m2)v
m1 = 18kg, m2 = 6kg, u1 = 4ms-1, u2 = -10m/s
18(4) + 6(-10) = (18+6)v
72 - 60 = 24v
12 = 24v
v = \(\frac{1}{2}\) m/s
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