AP EAMCET · PHYSICS · Laws of Motion
When a force \(\mathbf{F}\) given by \(\mathbf{F}=(6 \hat{\mathbf{i}}-18 \hat{\mathbf{j}}+10 \hat{\mathbf{k}}) \mathrm{N}\) acts on a body, it imparts an acceleration of \(8 \mathrm{~ms}^{-2}\). Then, find the mass of the body.
- A \(\frac{\sqrt{115}}{4} \mathrm{~kg}\)
- B \(10 \sqrt{2} \mathrm{~kg}\)
- C \(\frac{\sqrt{115}}{2} \mathrm{~kg}\)
- D \(\frac{115}{2} \mathrm{~kg}\)
Answer & Solution
Correct Answer
(A) \(\frac{\sqrt{115}}{4} \mathrm{~kg}\)
Step-by-step Solution
Detailed explanation
Given that, force vector, \[ \mathbf{F}=(6 \hat{\mathbf{i}}-18 \hat{\mathbf{j}}+10 \hat{\mathbf{k}}) \mathrm{N} \] Magnitude of force, \[ \begin{aligned} F & =|\mathbf{F}|=\sqrt{(6)^2+(-18)^2+(10)^2} \\ & =\sqrt{460} \mathrm{~N} \end{aligned} \] Acceleration,…
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