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 reasons.

July 30, 2024

Answer

As u = 0,

h₁ = ${1\over2} 𝑔𝑡_1^2$

h₂ = ${1\over2} 𝑔𝑡_2^2$

or, ${t_1\over t_2}$ = $\sqrt{h_1 \over h_2}$

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

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