question_answer 12)

A rocket is fired from the earth towards the sun. At what point on its path is the gravitational force on the rocket zero ? Mass of sun =Mass of earth =  Neglect the effect of other  planets. Orbital radius of earth =                                                   

Answer:

Here,                                   Let x be the distance of a point from the earth where gravitational forces on the rocket due to sun and earth  become equal and opposite. Then, distance of rocket from the sun = (r - x). If m is the mass of rocket then oror or or