Question

Two objects of masses m₁ and m₂ having the same size are dropped simultaneously from heights h₁ and h₂ respectively. Find out the ratio of time they would take in reaching the ground. Will this ratio remain the same if 

(i) one of the objects is hollow and the other one is solid and 

(ii) both of them are hollow, size remaining the same in each case. Give reason.

Answer 1

h₁ = 1/ 2 gt²₁ 

h₂ = 1/ 2 gt²₂ , as x = o 

t₁/ t₂ = √(h₁/h₂)

Ratio will not change in either case because acceleration remains the same. In case of free-fall acceleration does not depend upon mass and size.