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 for which Fc=mv2/r?
Correct answer: B. Particle: 2, Mass: m/2, Speed: 2v, Radius: 2r
- A. Particle: 1, Mass: m, Speed: 4v, Radius: r
- B. Particle: 2, Mass: m/2, Speed: 2v, Radius: 2r
- C. Particle: 3, Mass: 2m, Speed: v/2, Radius: r
- D. Particle: 4, Mass: 1m, Speed: 2v, Radius: 3r
Explanation
To find particles with the same centripetal force as the given particle, we use the centripetal force formula Fc = (m × v2) / r. Particle-2, with mass m/2, speed 2v, and radius 2r, has a centripetal force Fc = (m/2× (2v)2) / (2r) = (mv2) / r, which matches that of particle.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
Practise Rotational and Circular Motion
521 free Rotational and Circular Motion MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Angular and Linear Quantities questions
Two particles of equal masses are revolving in circular paths of radius r1 and r2 respectively with the same speed. The ratio of their centripetal force is:
The figure shows a cylinder of radius 0.7m rotating about its axis at 10rad/s. The speed of the point P is:
A body is moving in a circular path with constant speed. The magnitude of tangential and centripetal acceleration are:
A stone is whirled in a vertical circle. The stone has:
The following question belongs to the topic of momentum:I = r × p what does I in the equation meanwhere;r is the position vectorp is linear momentum
The following question belongs to the topic of momentum: