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 |
A body weights \(63\) 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. \(98~\text N\)
2. \(35~\text N\)
3. \(63~\text N\)
4. \(28~\text N\)
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 |
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. |