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AP EAMCET201726 Apr 2017Morning ShiftPhysicsRotational MotionActual

A solid sphere is projected up along an inclined plane of inclination 30^ with the horizontal with a speed of 4 ~ms ⁻¹ . If it rolls without slipping, the maximum distance traversed by it is ........ (g=10 ~ms ⁻² )

Options

  1. A2.24 m
  2. B112 m
  3. C1.12 m
  4. D22.4 m

Correct answer

A. 2.24 m

Step-by-step solution

Given, u=4 ~ms ⁻¹ a= g 1+ I m R^2 = 10 30 1+ 2 5 = 5 7 5 = 25 7 ~m / s ^2 As v^2=u^2+2 a S |S|= u^2 2 a = 4^2 2 25 7 = 16 7 50 = 112 50 =2.24 ~m

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