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An 800 kg car moving at 80 km hr\(^{-1}\) collides with a 1200 kg car...

Physics
WAEC 2019

An 800 kg car moving at 80 km hr\(^{-1}\) collides with a 1200 kg car moving at 40 km hr\(^{-1}\) in the same direction. If the cars stick together, calculate their common velocity.

  • A. 60 km hr\(^{-1}\) 
  • B. 8 km hr\(^{-1}\)
  • C. 40 km hr\(^{-1}\) 
  • D. 56 km hr\(^{-1}\)
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Correct Answer: Option D
Explanation

From momentum conservation 

(800 x 80) + (1200 x 40) 

= (800 + 1200) V

= 64000 + 48000 = 2000V

112000 = 2000V

V = \(\frac{112000}{2000}\)

= 56kmh\(^-1\) 

The common velocity = 56kmhr\(^{-1}\)


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