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COMEDK · Physics · 6. Work Power Energy

A particle is projected at an angle \(30^{\circ}\) with horizontal having kinetic energy \(K\). The kinetic energy of the particle at highest point is.

  1. A \(\dfrac{3}{4} K\)
  2. B \(\dfrac{3}{8} K\)
  3. C \(\dfrac{5}{8} K\)
  4. D \(\dfrac{1}{2} K\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\dfrac{3}{4} K\)

Step-by-step Solution

Detailed explanation

Let the initial velocity of the particle be \(u\). The initial kinetic energy is given by \(K = \dfrac{1}{2}mu^2\). At the highest point of the trajectory, the vertical component of the velocity becomes zero, while the horizontal component remains constant. The horizontal…