Four smooth steel balls of equal mass at rest are free to move along a straight line without friction. The first ball is given a velocity of 0.4 𝑚/𝑠. It collides head on with the second elastically, the second one similarly with the third and so on. The velocity of the last ball is

Question: Four smooth steel balls of equal mass at rest are free to move along a straight line without friction. The first ball is given a velocity of 0.4 𝑚/𝑠. It collides head on with the second elastically, the second one similarly with the third and so on. The velocity of the last ball is

(A) 0.4 𝑚/𝑠

(B) 0.2 𝑚/𝑠

(C) 0.1𝑚/𝑠

(D) 0.05 𝑚/𝑠

Answer: Option (A)

Solution:

Four smooth steel balls of equal mass at rest are free to move along a straight line without friction. The first ball is given a velocity of 0.4 𝑚/𝑠. It collides head on with the second elastically, the second one similarly with the third and so on. The velocity of the last ball is
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