Question

A force $F_1$ acting on a body of $2\mathrm{kg}$ produces an acceleration of $2.5\mathrm{m}/{\sec }^2$. An other force $F_2$ acting on the another body of mass $5\mathrm{kg}$ produces an acceleration of $2\mathrm{m}/{\sec }^2$. Find the ratio of $F_1/F_2$.

• A. $2:1$
• B. $4:1$
• C. $1:2$
• D. $1:8$

Answer 1

The correct option is C

$1:2$

Step 1: Given

A force $F_1$ acting on a body of $2\mathrm{kg}$ produces an acceleration of $2.5\mathrm{m}/{\sec }^2$, A force $F_2$ acting on another body of mass $5\mathrm{kg}$ produces an acceleration of$2\mathrm{m}/{\sec }^2$.

Step 2:

We know that according to newton's second law
$F=ma$

$F_1=2\times 2·5=5\mathrm{N}$

$F_2=5\times 2=10N$

$\frac{F_1}{F_2}=\frac{5}{10}=\frac{1}{2}$