Question

A block of mass m is moving in straight line on the frictionless surface, if the mass of the block is doubled, and the net force acting on the block is the quadrupled the acceleration of the object is :

• A. quartered
• B. halved
• C. unchanged
• D. double
• E. quadrupled

Answer 1

The correct option is D double

Let the initial force acting on the block and mass of the block be $F$ and $m$ respectively.

$\therefore$ Initial acceleration of the block $a=\frac{F}{m}$

Now the force is quadrupled and mass is doubled i.e $m^{\prime }=2m$ and $F^{\prime }=4F$

$\therefore$ New acceleration of the block $a^{\prime }=\frac{4F}{2m}=2a$

Thus acceleration is doubled.