Question

A body acted upon by a force $F$ has an acceleration $A$. When it is acted upon by two forces each of magnitude $F$ perpendicular to each other, its acceleration will be:

• A. $2A$
• B. $A$
• C. $A\sqrt{2}$
• D. $\sqrt{2}$

Answer 1

Answer: (C)

$A\sqrt{2}$

As the acceleration of force $F$ is $A$,
so the resultant acceleration ,$A_R=\sqrt{A^2+A^2}=A\sqrt{2}$