Question:

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

Updated On: Jul 5, 2022
  • $m_{1}: m_{2}: m_{3}$
  • $1: 1: 1$
  • $m_{1}: 2 m_{2}: 3 m_{3}$
  • $\frac{1}{m_{1}}: \frac{1}{m_{2}}: \frac{1}{m_{3}}$
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The Correct Option is B

Solution and Explanation

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 $= 1 : 1 : 1.$
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Motion in a straight line

The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion. 

Types of Linear Motion:

Linear motion is also known as the Rectilinear Motion which are of two types:

  1. Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
  2. Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.