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TS EAMCET · Physics · Work Power Energy

A solid spherical ball is rolled up an inclined plane of angle of inclination \(30^{\circ}\) with an initial speed of \(4 \mathrm{~m} / \mathrm{s}\) at the bottom of the inclination. How far will the ball go up the plane. \(\left(\right.\) Use \(\left.g=10 \mathrm{~m} / \mathrm{s}^2\right)\)

  1. A 56 cm
  2. B 112 cm
  3. C 224 cm
  4. D 120 cm
Verified Solution

Answer & Solution

Correct Answer

(C) 224 cm

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { As P.E } \mathrm{E}_{\mathrm{i}}+(\mathrm{K} . \mathrm{E})_{\mathrm{i}}=(\mathrm{P} . \mathrm{E})_{\mathrm{f}}+(\mathrm{K} . \mathrm{E})_{\mathrm{f}} \\ & \Rightarrow \quad 0+\frac{1}{2} \times \mathrm{m} \times 4^2+\frac{1}{2}\left(\frac{2}{5}…

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