The figure shown a particle sliding on a frictionless track, which teminates in a straight horizontal section. If the particle starts slipping from the point `A`, how far away from the track will the particle hit the ground?

Options

A. 1 m
B. 2 m
C. 3 m
D. 4 m

Answer

A

Explanation

(a)
From law of conservation of energy
`mg(1)=(1)/(2)mv^(2)+mg(0.5)`
`v^(2)=2g(1-0.5)=sqrt(g),t=(x)/(v)`
`y=(1)/(2)"gt"^(2)rArr0.5=(gx^(2))/(2v^(2))=(10x^(2))/(2(10))`
`x^(2)=1rArrx=1m`