Question

A body released from hight h take time t to reach the earth surface. Calculate the time taken by same body to reach the surface of the moon.

Answer 1

FOR A FREELY FALLING BODY FROM A HEIGHT H,
T =√(2H/G)
AS IN MOON G IS 1/6th TIMES OF EARTH
T=√{2H/(G/6)}
=>T=√(12H/G)

Answer 2

let t be the time taken by the body on earth

so,

h = 1/2 g t^2

t^2 = 2h/g

t= √2h/gv .... (1)

let x be the time taken by the body on moon

but g on moon is g/6

so

x =  √2h/g/6

x = √6*2h/g

x = √6 * √2h/g

from (1)

x = √6 t