Question

What is the relationship between mass and inertia? Explain with the help of examples. (word

limit 50-70 words)

(b) Derive second Equation of motion by graphical method.​

Answer 1

Màss and Inertia :

• Inertia is a physical quantity that determines the movement of a particle until and unless a force acts on it.

• Inertia is directly proportional to the màss of the object.

• For example : when we throw 2 ball (one plastic and the other tennis) with equal speed, the tennis ball with higher màss will have higher inertia.

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Graphical Derivation:

• The displacement of the object will be given by the area of the trapezium in the velocity-time graph:

$d = area \: of \: trapezium$

$\implies \: d = \dfrac{1}{2} (u + v) \times t$

$\implies \: d = \dfrac{1}{2} (u + u + at) \times t$

$\implies \: d = \dfrac{1}{2} (2u + at) \times t$

$\implies \: d = \dfrac{1}{2} (2ut + a {t}^{2} )$

$\implies \: d = ut + \dfrac{1}{2} a {t}^{2}$

[Hence derived]