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COMEDK2012PhysicsMotion in Two Dimensions

A particle is projected at an angle of 30^ with the horizontal with a momentum p . At the highest point its momentum is

Options

  1. A3 4 p
  2. B2 3 p
  3. Cp
  4. D1 2 p

Correct answer

A. 3 4 p

Step-by-step solution

Let m be the mass of particle and u be its initial velocity, then Initial momentum, p=m u ...(i) At highest point, aligned v_ x &=u =u 30^ &= 3 2 u v_ y &=0 aligned Momentum at highest point is array rlr p^ =m v_ x & =m u ( 3 2 ) & & = 3 2 p [using Eq. (i)] array

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