A body of mass 2 k g makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?

Question

A body of mass 2 k g makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?, 1.8 k g, 1.2 k g, 1.0 k g, 1.5 k g

MARKS App · Accepted Answer

From conservation of linear momentum m U = m U 4 + M V . . . (i) For elastic collision: e = 1 = V - U 4 u V = 5 U 4 . . . (ii) From equation (i) & (ii), m U = m U 4 + M 5 U 4 m = m 4 + 5 4 M ⇒ M = 3 m 5 = 1.2 k g

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