QUESTIONS FOR SHORT ANSWERS

Is there any meaning of "weight of the earth"?

The weight of an object is more at the poles than at the equator. Is it beneficial to purchase goods at equator and sell them at the pole? Does it matter whether a spring balance is used or an equal-beam balance is used?

The weight of a body at the poles is greater than the weight at the equator. Is it the actual weight or the apparent weight we are talking about? Does your answer depend on whether only the earth's rotation is taken into account or the flattening of the earth at the poles is also taken into account?

If the radius of the earth decreases by $1\%$ without changing its mass, will the acceleration due to gravity at the surface of the earth increase or decrease? If so, by what percent?

Consider earth satellites in circular orbits. A geostationary satellite must be at a height of about $36000 \mathrm{km}$ from the earth's surface. Will any satellite moving at this height be a geostationary satellite? Will any satellite moving at this height have a time period of $24$ hours?

No part of India is situated on the equator. Is it possible to have a geostationary satellite which always remains over New Delhi?

As the earth rotates about its axis, a person living in his house at the equator goes in a circular orbit of radius equal to the radius of the earth. Why does he/she not feels weightless as a satellite passenger does?

A spacecraft consumes more fuel in going from the earth to the moon than it takes for a return trip. Comment on this statement.