Four particles have the following masses (in terms of m), speeds (in terms of v), and radii (in terms of r). Which particles have the same centripetal force as particle-1?
Correct answer: B. Particle 2
- A. Particle 1
- B. Particle 2
- C. Particle 3
- D. Particle 4
Explanation
Particle-2 has a mass of m/2, speed of 2v, and a radius of 2r. Evaluating the centripetal force: Fc = (m/2 * (2v)2) / (2r) = (4mv2)/(4r) = (mv2)/r, which matches the centripetal force of particle-1. Therefore, option B is correct. Thus, option B is correct. Particle-3 and Particle-4 do not match this force due to their respective differences in the mass, speed, and radius combinations, making them incorrect choices.
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