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AP EAMCET · PHYSICS · Motion In Two Dimensions

A 100 kg gun fires a ball of 1 kg horizontally from a cliff of height 500 m. It falls on the ground at a distance of 400 m from the bottom of the cliff. The recoil velocity of the gun is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\)).

  1. A \(0.6 \mathrm{~ms}^{-1}\)
  2. B \(0.8 \mathrm{~ms}^{-1}\)
  3. C \(0.2 \mathrm{~ms}^{-1}\)
  4. D \(0.4 \mathrm{~ms}^{-1}\)
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Answer & Solution

Correct Answer

(D) \(0.4 \mathrm{~ms}^{-1}\)

Step-by-step Solution

Detailed explanation

Time of flight, \(\begin{aligned} & T=\sqrt{\frac{2 H}{g}}=\sqrt{\frac{2 \times 500}{10}}=10 \mathrm{~s} \\ & \therefore R=u . T \Rightarrow u=\frac{400}{10}=40 \mathrm{~m} / \mathrm{s} \end{aligned}\) \(\therefore\) Recoil velocity of gun,…
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