If a particle is projected vertically upward with a speed $$u,$$ and rises to a maximum altitude $$h$$ above the earth's surface then ($$g=$$ acceleration due to gravity at surface)

 1 $$h>\frac{u^2}{2g}$$ 2 $$h=\frac{u^2}{2g}$$ 3 $$h<\frac{u^2}{2g}$$ 4 Any of the above maybe true, depending on the earth's radius
Subtopic: Â Acceleration due to Gravity |
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A body weighs $$63$$ N on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth?
1. $$98$$ N
2. $$35$$ N
3. $$63$$ N
4. $$28$$ N

Subtopic: Â Acceleration due to Gravity |
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Assuming the earth to be a sphere of uniform mass density, how much would a body weigh halfway down to the centre of the earth if it weighed $$250$$ N on the surface?
1. $$250$$ N
2. $$125$$ N
3. $$175$$ N
4. $$145$$ N

Subtopic: Â Acceleration due to Gravity |
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Starting from the centre of the earth, having radius $$R,$$ the variation of $$g$$ (acceleration due to gravity) is shown by:

 1 2 3 4

Subtopic: Â Acceleration due to Gravity |
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