A ball of mass 0.5kg moving at 10ms\(^{-1}\) collides with another ball of equal mass at rest. If the two balls move off together after the impact, calculate their common velocity.
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Correct Answer: Option C
Explanation:
Using; m\(_{1}\) u\(_{1}\) + m\(_{2}\) u\(_{2}\) = (m\(_{1}\) + m\(_{2}\))v
m\(_{1}\) = 0.5kg, u\(_{1}\) = 10ms\(^{1}\), m\(_{2}\) = 0.5kg, u\(_{1}\) = 0
\(\therefore\) (0.5kg x 10) + (0.5 x 0) = (0.5 + 0.5)v
v = 5ms\(^{1}\)
Using; m\(_{1}\) u\(_{1}\) + m\(_{2}\) u\(_{2}\) = (m\(_{1}\) + m\(_{2}\))v
m\(_{1}\) = 0.5kg, u\(_{1}\) = 10ms\(^{1}\), m\(_{2}\) = 0.5kg, u\(_{1}\) = 0
\(\therefore\) (0.5kg x 10) + (0.5 x 0) = (0.5 + 0.5)v
v = 5ms\(^{1}\)