Physics, asked by aayushkhanna1, 1 year ago

A constant force F acts separately on three objects having different masses such that the acceleration produced in the objects is in the ratio 1:2:3. Find the ratio of the masses. Also show your calculations.

Answers

Answered by shubhamjoshi033
0

The ratio of their masses will be 6 : 3 : 2

Explanation :

from the law of motion, we know that,

F = ma

=> a = F/m

Let the three objects have acceleration of a₁, a₂, a₃ and there masses be m₁, m₂, m₃

it is given that,

a₁:a₂:a₃ = 1:2:3

=> F/m₁ : F/m₂ : F/m₃  = 1:2:3

=> 1/m₁ : 1/m₂ : 1/m₃  = 1:2:3

=>m₁ : m₂ : m₃  = 1 : 1/2 : 1/3 = 6 : 3 : 2

Hence the ratio of their masses will be 6 : 3 : 2

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