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\(^{-1}\)

Correct Answer: B. 8 km hr\(^{-1}\)

Explanation

From momentum conservation

(800 x 80) - (1200 x 40)

= (800 + 1200) V

= 64000 - 48000 = 2000V

16000 = 2000V

V = \(\frac{16000}{2000}\)

= 8kmh\(^-1\)

The common velocity = 8kmhr\(^{-1}\)



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