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A ball of mass m moving at velocity u collides with another ball of equal...

Physics
NECO 2003

A ball of mass m moving at velocity u collides with another ball of equal mass at rest. If the two balls move off together after the impact, calculate their common velocity.

  • A. \(\frac{u}{v}\)
  • B. \(\frac{u}{2}\)
  • C. u
  • D. 2u
  • E. \(\frac{u}{m}\)
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Correct Answer: Option B
Explanation

\(M_1\) = \(M_2\) = M, \(U_1\) = U and \(U_2\) = 0

\(M_1U_1\) + \(M_2U_2\) = V\((M_1 + M_2\))

M x U + M x 0 = V(M+M)= 2MV

MU = 2MV

V = \(\frac{U}{2}\)


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