Question

What is the acceleration of $3\text{kg}$ mass when acceleration of $2\text{kg}$ mass is $2{\text{m/s}}^2$ as shown ?

• A. $3{\text{m/s}}^2$
• B. $2{\text{m/s}}^2$
• C. $0.5{\text{m/s}}^2$
• D. Zero

Answer 1

The correct option is B $2{\text{m/s}}^2$


For $2\text{kg}$, $Fnet=ma$
$10-T=2\left(2\right)$
$T=10-4=6\text{N}$

For $3\text{kg}$, $Fnet=ma$
$T=3\left(a\right)$
$6=3a$
$a=2{\text{m/s}}^2$