Solve these questions correctly i) Two spherical celestial objects, call them A and B have mass M1 and M2 with radius R1 and R2 respectively. Initially they are at a distance d from each other. Now solve the following problems. d A В (a) What would be the gravitational acceleration on the surface of object A ? You should ignore B's presence (b) Find the escape velocity of object B. Again ignore A's presence. (c) Now lets say these two objects, A & B start to move towards each other dude to mutual gravitational attraction. Find the time when they will collide with each other. Express you answers in terms of the given pa- rameters and any universal constant. ii) A 65 kg person jumps from a window to a fire net 18 m below, which stretches the net 1.1 m. Assuming the net behaves like a simple spring, solve the fol- lowing problems. (a) How much it would stretch if the same person was lying in it ? (b) How much it would stretch if the same person jumped from a height of 35 m ?

Solve these questions correctly i) Two spherical celestial objects, call them A and B have mass M1 and M2 with radius R1 and R2 respectively. Initially they are at a distance d from each other. Now solve the following problems. d A В (a) What would be the gravitational acceleration on the surface of object A ? You should ignore B's presence (b) Find the escape velocity of object B. Again ignore A's presence. (c) Now lets say these two objects, A & B start to move towards each other dude to mutual gravitational attraction. Find the time when they will collide with each other. Express you answers in terms of the given pa- rameters and any universal constant. ii) A 65 kg person jumps from a window to a fire net 18 m below, which stretches the net 1.1 m. Assuming the net behaves like a simple spring, solve the fol- lowing problems. (a) How much it would stretch if the same person was lying in it ? (b) How much it would stretch if the same person jumped from a height of 35 m ?