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AP EAMCET · PHYSICS · Work Power Energy

A small disc of mass \(m\) slides down with initial velocity zero from the top \((A)\) of a smooth hill of height \(H\) having a horizontal portion \((B C)\) as shown in the figure. If the height of the horizontal portion of the hill is \(h\), then the maximum horizontal distance covered by the disc from the point \(D\) is

  1. A \(\frac{H}{2}\)
  2. B \(2 \mathrm{H}\)
  3. C \(H\)
  4. D \(3 H\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(H\)

Step-by-step Solution

Detailed explanation

According to law of conservation of energy at point \(B\) shown in the figure given in question part, Loss in \(\mathrm{PE}=\) Gain in \(\mathrm{KE}\) \(\Rightarrow \quad m g(H-h)=\frac{1}{2} m v^2\) \(\Rightarrow \quad v=\sqrt{2 g(H-h)}\) Now,…
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