Question

Two bodies A and B are of different masses and are acted upon by equal forces. Acceleration of A is twice of , compare their masses.​

Answer 1

Answer:

F = ma.  Here F is same for both and acceleration is twice in case of A

Let Mass of A be mₐ and Mass of B be $m_{b}$

Acceleration of A = $a_{A}$     Acceleration of B= $a_{B}$

Given that $a_{A}$ = 2$a_{B}$

Now, F = ma          {Given Forces are same for both}

=> mₐ * $a_{A}$  = $m_{b}$ * $a_{B}$

=>  mₐ * 2$a_{B}$  = $m_{b}$ * $a_{B}$

=> mₐ =  $m_{b}$ * $a_{B}$/ 2$a_{B}$

=> mₐ = $m_{b}$/2 (Here is ur answer)

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