Two stones are subjected to identical centripetal forces, and their velocities are related such that V₁ equals twice V₂. What is the ratio of their masses?

The ratio is 1.
The ratio is 2.
The ratio is 3.
The ratio is 4.

Correct answer: The ratio is 2.

Solution

Centripetal force is given by F = m*v^2/r. If the forces are equal and V_1 = 2V_2, then the ratio of radii (r_1/r_2) must be 4 to maintain equality. Thus, n = 2.

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