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
\(\frac{u}{m}\)
Verified Correct Answer: B.
Physical Principles & Numerical Solution
\(M_1\) = \(M_2\) = 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 = \(\frac{U}{2}\)
Source: Myschool Past Questions Archive (Record #42939)