Laws Of Motion Question 3

Question 3 - 2024 (01 Feb Shift 2)

A body of mass $4 kg$ experiences two forces $\vec{F} _1=5 \hat{i}+8 \hat{j}+7 \hat{k}$ and $\vec{F} _2=3 \hat{i}-4 \hat{j}-3 \hat{k}$. The acceleration acting on the body is :

(1) $-2 \hat{i}-\hat{j}-\hat{k}$

(2) $4 \hat{i}+2 \hat{j}+2 \hat{k}$

(3) $2 \hat{i}+\hat{j}+\hat{k}$

(4) $2 \hat{i}+3 \hat{j}+3 \hat{k}$

Show Answer

Answer: (3)

Solution:

Net force $=8 \hat{i}+4 \hat{j}+4 \hat{k}$

$\overrightarrow{a}=\frac{\overrightarrow{F}}{m}=2 \hat{i}+\hat{j}+\hat{k}$