Which of the following statements is correct for a particle moving in a horizontal circle with constant angular velocity?
Correct answer: B. The kinetic energy is constant but the linear momentum varies
- A. The linear momentum is constant but the kinetic energy varies
- B. The kinetic energy is constant but the linear momentum varies
- C. Both kinetic energy and linear momentum are constant
- D. Neither the linear momentum nor the kinetic energy is constant
Explanation
Key Concepts: In a horizontal circle with constant angular velocity, the kinetic energy of a particle remains constant due to its constant speed. However, the linear momentum varies because the direction of the velocity is constantly changing, even though the magnitude of velocity remains constant.The correct answer is Option B. The kinetic energy is constant as the speed of the particle is constant, but the linear momentum varies due to the changing direction of velocity. Options A, C, and D are incorrect as they do not reflect the relationship between kinetic energy and linear momentum in circular motion with constant angular velocity.
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