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NDA General Ability General Science 2025 NDA 2025 (Phase 2)

NDA General Ability Question (2025) — Solution

Question

Suppose, a ball of mass M is thrown upwards from a point A and it reaches up to the highest point B and returns back to point A, which one among the following is correct?

Options

  1. A. Kinetic Energy at A = Potential Energy at B
  2. B. Kinetic Energy at A = Potential Energy at A
  3. C. Kinetic Energy at B = Potential Energy at B
  4. D. Kinetic Energy at B = Kinetic Energy at A

Answer

A. Kinetic Energy at A = Potential Energy at B

Step-by-step solution

Let the reference level for potential energy be at point A. Thus, the potential energy at A is zero. When the ball is thrown upwards from point A with velocity v, its kinetic energy is 1 2 Mv^2. Total mechanical energy at A is E_A = 1 2 Mv^2 + 0 = 1 2 Mv^2. At the highest point B, the velocity of the ball becomes zero, so its kinetic energy at B is zero. Let the height of point B from A be h. The potential energy at B is Mgh. Total mechanical energy at B is E_B = 0 + Mgh = Mgh. According to the law of conservation of mechanical energy, the total energy at A equals the total energy at B. E_A = E_B 1 2 Mv^2 = Mgh Therefore, the kinetic energy at A is equal to the potential energy at B. Answer: Kinetic Energy at A = Potential Energy at B

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