Question

3 forces are acting on a particle as shown. Find the acceleration of the particle if its mass is 5 kg.

• A. $5m/s^2$
• B. $2m/s^2$
• C. $20m/s^2$
• D. $0m/s^2$

Answer 1

The correct option is D

$0m/s^2$

F = ma

Where F is $F_{net}$ or net external force on the body

F is a vector

Lets find the resultant force on the body.

$F_1=10N\hat{i}$

$F_2=-5\hat{i}+5\sqrt{3}\hat{j}$

$F_3=-5\hat{i}-5\sqrt{3}\hat{j}$

${\hat{F}}_{net}={\hat{F}}_1+{\hat{F}}_2+{\hat{F}}_3$

$=0\hat{i}+0\hat{j}$

Net force = 0

F = ma

So $\overrightarrow{a}$ = 0

So Net accerleration = $0m/s^2$