Question

$P$ and $Q$ are two objects with masses $5\,Kg$ and $30\,Kg$ respectively. Then,
(A) $P$ has more inertia than $Q$
(B) $Q$ has more inertia than $P$
(C) $P$ and $Q$ have the same inertia
(D) Neither $P$ nor $Q$ has any inertia.

Answer 1

Compare the masses of the two objects given and find the object with the greater mass. The inertia is directly proportional to the mass of the objects. If the mass is more, then the inertia exhibited by the object is also more and vice versa.
Complete step by step solution:
It is given that
The mass of the object $P$, ${m_1} = 5\,Kg$
The mass of the object $Q$, ${m_2} = 30\,Kg$
From the given data, it is clear that the object $Q$ has more mass and bulkier than $P$. Inertia is the ability of the body to maintain its previous state of rest or of motion by itself even though there is a sudden change in the state. The inertia of the body mainly depends on its mass. Since the greater mass object is little difficult to change its state than that of the lesser mass object, It is clear that the greater mass object has the greater tendency to resist the change of its state. If the mass of the object is more, then the inertia is also more. Hence $Q$ has greater inertia than $P$.

Thus the option (B) is correct.

Note: The example of the inertia is when travelling in the bus, all the passengers and the things move backward when the drivers start driving. And the passengers move front if the driver applies the sudden brake. This is mainly due to the inertia. The body desires to continue its state even though there is the change in the state by the external force.