A test tube of mass 2m closed with a cork of mass m contains a drop of liquid of negligible mass. When the test tube is heated, the liquid evaporates and the cork flies off under the pressure of the g

Question

A test tube of mass 2m closed with a cork of mass m contains a drop of liquid of negligible mass. When the test tube is heated, the liquid evaporates and the cork flies off under the pressure of the gas. What must be the minimum velocity with which the cork must be ejected such that the test tube describes a full circle of radius R about the pivot? (Assuming test tube as a point object)

TestHub · Accepted Answer

To complete the vertical circle, the tube needs speed v t ​ = 5 g R ​ at the lowest point. Momentum conservation: m v = 2 m v t ​ ⇒ v = 2 5 g R ​ . Answer: (B)

Physics - Center of Mass Question with Solution | TestHub

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