Question

19. If a mass of a body and force acting on it are both
doubled, the acceleration will be
a. Doubled
b. Trebled
C. Same
d. Half of the original​

Answer 1

GiveN :-

• A mass of a body and force acting on it are both doubled .

To FinD :-

• The change in acceleration .

SolutioN :-

Let a body of mass m , has a Acceleration of a in initial condition and let the acceleration in second situation be a' . Now we know that Force is the product of mass and acceleration . That is F = ma . In initial situation , the acceleration will be F/m .

$\underline\red{\bf When \ mass\ and \ accel^n \ are \ doubled :- }$

$\sf:\implies\pink{ Force = mass \times Accl^n }\\\\\sf:\implies 2F =( 2m )(a_2) \\\\\sf:\implies a_2= \dfrac{2F}{2m}\\\\\sf:\implies \boxed{\bf a_2= \dfrac{F}{m}}$

We observe in both the situations the acceleration remains same that is F/a . Therefore there is no change in acceleration . That is ,

$\sf\to \underset{\blue{\sf Remains \ Same }}{\underbrace{\boxed{\pink{\frak{ \Delta Acceleration = 0 }}}}}$