A body of mass 2 kg slides down a curved track which is quadrant of a circle of radius 1 metre. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track is

Options

A. ` 443 m//sec`
B. ` 2 m//sec`
C. ` 0.5 m//sec`
D. ` 19.6 m//sec`

Answer

A

Explanation

By conservation energy , mgh `= (1)/(2) mv^(2) `
` rArr v= sqrt( 2gh ) = sqrt( 2 xx 9.8 xx 1) = sqrt( 19.6) = 4.43 m//s`