Question

29. The acceleration of two objects are 5m/s2 and 20m/s. If mass of both the object
would be combined and a force of 50N would be applied on them, what will be their
acceleration
30. Define mass and inertia.
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Answer 1

Answer:

The tendency of an object to resist changes in its state of motion varies with mass. Mass is that quantity that is solely dependent upon the inertia of an object.

This tendency to resist changes in their state of motion is described as inertia.

Answer 2

Answer:

Ist object:

Given, Acceleration (a) = 5m/s2

Let the mass of one body = m1

And a force of 50N will be applied over it.

We know that Force (F) = Mass (m) x Acceleration (a)

⇒ 50N = m1 × 5ms-2

⇒ m 1 = 50 N/5m s = 10 k g

2nd Object:

Given, Acceleration (a) = 20m/s2

Let the mass of one body = m2

And a force of 50N will be applied over it.

We know that Force (F) = Mass (m) x Acceleration (a)

⇒ 50N = m2 × 5 ms-2

⇒ m 2 = 50 N /20 m s= 2.5 k g

Now their total mass = m1 + m2 = 10 kg + 2.5 kg = 12.5 kg

In this condition:

Mass (m) = 12.5 kg, Force (F) = 50N, therefore, Acceleration (a) =?

We know that, F = m x a

Therefore, 50N = 12.5kg × a

a = 50 N/ 12.5 k g  =  4 m /s-2  

Thus, Acceleration = 4 ms–2