1. 
 Consider a hole drilled into the Earth and an object placed at the bottom of the hole (point P) as shown in the figure. The gravitational force of attraction on the object will be due to  




2. 
Two satellites of masses M_{1} and M_{2} have escape velocities V_{1} and V_{2} from the surface of a planet of radius R with acceleration due to gravity g. Which of the following is true? 




3. 
The ratio of the time periods for two satellites of equal mass in circular orbits of radii R and 16 R is 




4. 
 The gravitational acceleration on a planet is 20% less than that on the Earth. A rocket takes a man from the Earth to this planet. On neglecting the effect of all other bodies in the sky, which curve in the figure best describes the change in the man's weight with distance traveled?  




5. 
 The figure shows the elliptical orbit of a planet with the Sun at the focus. The areas of regions 1 and 2 are the same. If the planet takes times t_{1} to go from one end to the other end of region 1 and t_{2} to go from one end to the other end of region 2, then what is the relationship between t_{1} and t_{2}?  



