Three different objects m1, m2 and m3 are allowed to fall from rest and from the same point O along thrce different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

Question

Three different objects m1, m2 and m3 are allowed to fall from rest and from the same point O along thrce different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of (A) m1: m2: m3 (B) 1: 1: 1 (C) m1: 2 m2: 3 m3 (D) (1/m1): (1/m2): (1/m3)

Tardigrade Admin · Accepted Answer

As the speed of an object, falling freely under gravity, depends only upon its height from which it is allowed to fall and not upon its mass. Since the paths are frictionless and all the objects are falling through the same vertical height, therefore their speeds on reaching the ground must be same. Or ratio of their speeds = 1: 1: 1.

Q. Three different objects $m_{1}, m_{2}$ and $m_{3}$ are allowed to fall from rest and from the same point $O$ along thrce different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

$m_{1} : m_{2} : m_{3}$

$1 : 1 : 1$

$m_{1} : 2 m_{2} : 3 m_{3}$

$\frac{1}{m _{1}} : \frac{1}{m _{2}} : \frac{1}{m _{3}}$

Q. Three different objects m1​,m2​ and m3​ are allowed to fall from rest and from the same point O along thrce different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

m1​:m2​:m3​

1:1:1

m1​:2m2​:3m3​

m1​1​:m2​1​:m3​1​

Q. Three different objects $m_{1}, m_{2}$ and $m_{3}$ are allowed to fall from rest and from the same point $O$ along thrce different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

$m_{1} : m_{2} : m_{3}$

$1 : 1 : 1$

$m_{1} : 2 m_{2} : 3 m_{3}$

$\frac{1}{m _{1}} : \frac{1}{m _{2}} : \frac{1}{m _{3}}$