Question 59

A small block $$B$$ of mass $$m = 0.25\,\text{kg}$$, lying on a frictionless horizontal table, is attached to a massless cord, breaking strength $$40\,\text{N}$$, passing through a narrow hole $$C$$ at the center of the table. Initially when the block is revolving in a circle of radius $$r_0 = 0.80\,\text{m}$$ about a vertical axis through the hole, with a tangential speed of $$v_0 = 4.00\,\text{m s}^{-1}$$, the tension in the string is $$T_0$$ and the kinetic energy of the block is $$K_0$$. The string is then pulled down slowly from below, decreasing the radius of circular path from $$r_0$$ to $$r$$ so that the kinetic energy of the block is now $$K$$ and the tension in the string is $$T$$. As a result

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