A stone is projected at angle 30° to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be [2023]

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Solution

Q.
A stone is projected at angle 30° to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be [2023]

1 1 : 2

2 1 : 4

3 4 : 1

4 4 : 3

Ans.
(4)

$\frac{K E_{pop}}{K E_{top}} = \frac{\frac{1}{2} M {(u)}^{2}}{\frac{1}{2} M {(u \cos 30 °)}^{2}} = \frac{4}{3}$

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