Question

Equal force F acts on isolated bodies X and Y as shown in figure. The mass of Y is three times that of X. The magnitude of the acceleration of X is ..........

• A. Three times that of Y
• B. 1/3 that of Y
• C. Nine times that of Y
• D. 1/9 that of Y

Answer 1

The correct option is A Three times that of Y

$F=ma$
$a=\frac{F}{m}$
Let mass of X is $m$, so mass of Y will be $3m$

The acceleration of X, $A_X=\frac{F}{m}$ and acceleration of Y, $A_Y=\frac{F}{3m}$.

hence, The magnitude of the acceleration of X is Three times that of Y

Option A