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Statement

$1.3.26.$ The edge of a smooth horizontal table is rounded along a circle of radius $r$. What is the lowest speed you need to put a small body on the table so that it reaches the rounding and immediately flies along the parabola?

Solution

For a body to fly along a parabola, it is necessary that at the moment of separation it be in a state of weightlessness

The force of gravity will be compensated by centrifugal force

$$ mg = \frac{mv^2}{r} $$

Where do we express $v$

$$\boxed{v = \sqrt{gr}}$$

Answer

$$v = \sqrt{gr}$$