Questions in Gravitation

Select	Question
	A person will get more quantity of matter in kg –wt. at
	At what depth below the surface of the earth, acceleration due to gravity g will be half its value 1600 km above the surface of the earth
	What should be the angular speed of earth, so that body lying on equator may appear weightlessness $(g = 10\,m/{s^2},\,\,R = 6400\,km)$
	A body weight 500 N on the surface of the earth. How much would it weigh half way below the surface of the earth
	If the density of a small planet is the same as that of earth, while the radius of the planet is 0.2 times that of the earth, the gravitational acceleration on the surface of that planet is
	Acceleration due to gravity 'g' for a body of mass 'm' on earth's surface is proportional to (Radius of earth=R, mass of earth=M)
	A body has a weight 90 kg on the earth's surface, the mass of the moon is 1/9 that of the earth's mass and its radius is 1/2 that of the earth's radius. On the moon the weight of the body is
	If it is assumed that the spinning motion of earth increases, then the weight of a body on equator
	The masses of two planets are in the ratio 1 : 2. Their radii are in the ratio 1 : 2. The acceleration due to gravity on the planets are in the ratio
	If earth is supposed to be a sphere of radius R, if g30 is value of acceleration due to gravity at latitude of 30o and g at the equator, the value of $g - {g_{{{30}^o}}}$ is