5 questions asked across 3 exam years, newest first
A person sitting inside an elevator performs a weighing experiment with an object of mass 50 kg. Suppose that the variation of the height (in m) of the elevator, from the ground, with time (in s) is given by , where s. Taking acceleration due to gravity, , the maximum variation of the object’s weight (in N) as observed in the experiment is ____
Answer: 2

Answer: 3
Consider a star of mass kg revolving in a circular orbit around another star of mass kg with . The heavier star slowly acquires mass from the lighter star at a constant rate of kg/s. In this transfer process, there is no other loss of mass. If the separation between the centers of the stars is , then its relative rate of change (in ) is given by:
Answer: Dropped in the final answer key (full marks to everyone)