Question

A force of 5N acting on a body A produces an acceleration of 2ms-2 . The same force acting on the body B produces an acceleration of 5ms-2. Find the mass of the bodies A and B. What will be the acceleration produced if both the bodies are tied together and same force(i.e.5N) acts on it?​

Answer 1

Given :

Force on body , F = 5 N .

Acceleration on body A , $a_A=2\ m/s^2$ .

Acceleration on body B , $a_B=5\ m/s^2$ .

To Find :

The mass of the bodies A and B .

Solution :

We know , force given by :

F = ma

Therefore , $m=\dfrac{F}{a}$

Mass of body A ,

$m_A=\dfrac{5}{2}\ kg\\\\m_A=2.5\ kg$

Mass of body B ,

$m_B=\dfrac{5}{5}\ kg\\\\m_B=1\ kg$

Now , when both the bodies are tied together .

Therefore , total mass , M = 2.5+1 kg = 3.5 kg .

So , acceleration is :

$a=\dfrac{5}{3.5}\ m/s^2\\\\a=1.43\ m/s^2$

Hence , this is the required solution .

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Answer 2

Given :

Force on body , F = 5 N .

Acceleration on body A ,  .

Acceleration on body B ,  .

To Find :

The mass of the bodies A and B .

Solution :

We know , force given by :

F = ma

Therefore ,

Mass of body A ,

Mass of body B ,

Now , when both the bodies are tied together .

Therefore , total mass , M = 2.5+1 kg = 3.5 kg .

So , acceleration is :

Hence , this is the required solution .Answer:

Explanation:

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