Laws Of Motion Question 3
Question 3 - 2024 (01 Feb Shift 2)
A body of mass $4 \mathrm{~kg}$ 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 $=8 \hat{i}+4 \hat{j}+4 \hat{k}$
$\overrightarrow{\mathrm{a}}=\frac{\overrightarrow{\mathrm{F}}}{\mathrm{m}}=2 \hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$
