Question

A force of \((2\hat{i}+3\hat{j})\) N acts on a body of mass \(1\) kg which is at rest initially. The acceleration of the body is

• A. \((4\hat{i}+6\hat{j})\ \text{m s}^{-2}\)
• B. \((2\hat{i}+3\hat{j})\ \text{m s}^{-2}\)
• C. \((3\hat{i}+5\hat{j})\ \text{m s}^{-2}\)
• D. \((6\hat{i}+2\hat{j})\ \text{m s}^{-2}\)
• E. \((\hat{i}+\hat{j})\ \text{m s}^{-2}\)

Hint:

If mass is \(1\) kg, force vector and acceleration vector are numerically the same.

Answer 1

The Correct Option is B

By Newton's second law: \[ \vec{a}=\frac{\vec{F}}{m} \] Since \(m=1\) kg, \[ \vec{a}=(2\hat{i}+3\hat{j})\ \text{m s}^{-2} \] Hence, \[ \boxed{(B)\ (2\hat{i}+3\hat{j})\ \text{m s}^{-2}} \]