Question

A solid iron ball collides with another stationary solid iron ball b if the ratio of the radii of the walls and is equal to 2 then the ratio of the solution is 0.5

Answer 1

The ratio of the solution is 2.

Explanation:

• Let density is constant.

So mass ∝r^3

Thus m1 = 4/3 πr^3 ρ = m

m2 = 4/3 π8r^3ρ = 8 m

• Applying momentum of conservation:

mv = mv1 + 8 mv2

v1 = 8v2 = v

0.5 v = v2 - v1 /v ; v2 - v1 = 0.5 v

9v2 = 1.5 v ; v2 = 1.5 v / 9

v1 = 1.5 v / 9 - 0.5 v = - 3v / 9

v1 / v2 = 3v / 1.5 v = 2

Thus the ratio of the solution is 2.

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