SATHEE: Motion in a Straight Line

Motion in a Straight Line - Result Question 46

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

[1995]

(a) $m_{1} : m_{2} : m_{3}$

(b) $m_{1} : 2 m_{2} : 3 m_{3}$

(d) $\frac{1}{m_{1}} : \frac{1}{m_{2}} : \frac{1}{m_{3}}$

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Answer:

Correct Answer: 48. (c)

Solution:

(c) The speed of an object, falling freely due to gravity, depends only on its height and not on its mass $V = \sqrt{2 g h}$ . Since the paths are frictionless and all the objects fall through the same height, therefore, their speeds on reaching the ground will be in the ratio of $1 : 1 : 1$ .

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Motion in a Straight Line - Result Question 46

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

Answer:

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