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AP EAMCET · PHYSICS · Work Power Energy

A force of \(10 \mathrm{~N}\) acting at an angle on a particle produces a displacement of \((3 \hat{i}-4 \hat{\jmath}) \mathrm{m}\). Due to this force, if the kinetic energy of the particle is decreased by 25 joule, then the angle between the force and the displacement is

  1. A \(\cos ^{-1}\left(\frac{1}{3}\right)\)
  2. B \(30^{\circ}\)
  3. C \(120^{\circ}\)
  4. D \(\cos ^{-1}\left(\frac{3}{4}\right)\)
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Answer & Solution

Correct Answer

(C) \(120^{\circ}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { Work done }=\overrightarrow{\mathrm{F}} \cdot \overrightarrow{\mathrm{r}} \\ & \Rightarrow-25=\text { Fr } \cos \theta \quad[\because \text { Work done }=\Delta \mathrm{K}] \\ & \Rightarrow-25=10 \times 5 \times \cos \theta \\ & \Rightarrow \cos…

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