Question

. Two objects have masses in the ratio 1: 2. If the forces acting on them are i the ratio 2:1, then the ratio of their accelerations is​

Answer 1

Answer:

✤ Required Answer:

✒ GiveN:

Ratio of masses = 1 : 2

Forces acting on it = 2 : 1

✒ To finD:

Find the ratio of the accleration of the two objects....?

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✤ How to solve?

For solving the question, w should know the relation of force, mass and Accleration first.

Force is the product of mass of an object and Accleration of the body. It is given by:

$\large{ \boxed{ \sf{F = ma}}}$

Where,

F = Force applied on the object.

m = mass of the object.

a = acceleration of the object.

☀️ So, Let's solve this question....

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✤ Solution:

We have,

Ratio of the masses = 1 : 2

Then, Let the masses be x and 2x

And,

Let F1 and F2 be the two forces with a1 and a2 accl.

Then, By using formula,

F1 = m1a1 = xa1 

F2 = m2a2 = 2xa2

Since,

F1 : F2 = 2 : 1

We can write it as, 

➝ F1 : F2 = 2 : 1

➝ xa1 : 2xa2 = 2 : 1

➝ a1 : 2a2 = 2 : 1

➝ a1 : a2 = 2 × 2 : 1 × 1

➝ a1 : a2 = 4 : 1

☃️ Therefore, Ratio of acclerations = 4 : 1

☀️ Hence, solved !!

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