AP EAMCET · PHYSICS · Laws of Motion
A force \((2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}) \mathrm{N}\) acts on a body, which is initially at rest. At the end of \(20 \mathrm{~s}\) the velocity of the body is \((4 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-2 \hat{\mathbf{k}}) \mathrm{ms}^{-1}\), then the mass of the body is
- A \(8\ kg\)
- B \(10\ kg\)
- C \(5\ kg\)
- D \(4.5\ kg\)
Answer & Solution
Correct Answer
(B) \(10\ kg\)
Step-by-step Solution
Detailed explanation
\(|\mathrm{F}|=F=\sqrt{4+1+1}=\sqrt{6}\) \(v=\sqrt{16+4+4}=\sqrt{24}\) Now, \(F=\frac{d p}{d t}=m\left(\frac{v-u}{t}\right)\) where, \(\mathrm{m}=\) mass of body…
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