Question

A force of $25N$ is applied to two objects $A$ and $B$. This force produces the acceleration in the ratio $4:3$. If the force is increased to $30N$, then the difference in the ratios of new and earlier accelerations is

• A. Zero
• B. $4/3$
• C. $8/3$
• D. $3/4$

Answer 1

The correct option is A Zero

Case $I$
Acceleration in $A$ object, $a_1=\frac{25}{m_1}$
Acceleration in $B$ object, $a_2=\frac{25}{m_2}$
$\therefore \frac{a_1}{a_2}=\frac{25/m_1}{25/m_2}=\frac{m_2}{m_1}$
$\frac{4}{3}=\frac{m_2}{m_1}$
Case $II$
Acceleration in $A$ object, $A_1=\frac{30}{m_1}$
Acceleration in $B$ object, $A_2=\frac{25}{m_2}$
$\frac{A_1}{A_2}=\frac{m_2}{m_1}=\frac{4}{3}$
$\therefore$ The difference in new and earlier acceleration
$=\frac{4}{3}-\frac{4}{3}=0$