A material body A of mass m_1  exerts a force on another material body B of mass  m_2. If the acceleration of B be a_2, the magnitude of acceleration of A is:

  • Option 1)

    zero

  • Option 2)

    \frac{m_2a_2}{m_1}

  • Option 3)

    \frac{m_1a_2}{m_2}

  • Option 4)

    a_2

 

Answers (1)

As learnt in

Newton's 3rd Law -

\vec{F_{AB}}=-\vec{F_{BA}}

- wherein

Action & reaction never acts on the same body.

\vec F_{AB} \ is\ force\ acting \ on \ B\ by \ A

\vec F_{BA} \ is\ force\ acting \ on \ A\ by \ B

 

 Newton's 3rd Law

F_{1}=F_{2}=m_{1}a_{1}=m_{2}a_{2}

a_{1}=\frac{m_{2}a_{2}}{m_{1}}


Option 1)

zero

Incorrect option

Option 2)

\frac{m_2a_2}{m_1}

correct option

Option 3)

\frac{m_1a_2}{m_2}

Incorrect option

Option 4)

a_2

Incorrect option

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