A ball rolls down an inclined groove acquiring a velocity V_ T as it reaches the bottom…
Physics · JEE Advanced · NTA Exams — Rotational Motion
A ball rolls down an inclined groove acquiring a velocity \(V_{T}\) as it reaches the bottom. If the same ball slide without friction rather than rolled from the same height down a similar track to acquire a velocity \(V_{0}\), which of the following statement is true?
- Vr < Vs because work must be done by the rolling ball against frictional forces
- Vr > Vs because the rotational kinetic energy acquired makes the rolling ball travel faster
- Vr = Vs because the kinetic energy must be conserved.
- Vr < Vs because the rolling ball acquires rotational as well as translational kinetic energy
- Vr < Vs, because the rotating ball has an angular acceleration as well as a linear acceleration
Answer
(D) Vr < Vs because the rolling ball acquires rotational as well as translational kinetic energy
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let I be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and…
- A ring of 1 kg mass and 1 m radius is moving forward with velocity 1 m/s by rolling without slipping in a…
- Two rods 1 and 2 are released from rest as shown in figure. Given: l 1 = 4 l , m 1 = 2m, l 2 = 2 l and m 2 =…
- A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( L ) is…
- Statement–1: A solid sphere is rolling on a rough horizontal surface. Acceleration of contact point is zero…
- A heavy small sized sphere is suspended by a string of length . The sphere rotates uniformly in a…
- Initial angular velocity of a circular disc of mass M is w 1 . Then two small spheres of mass m each are…
- For a particle of a rotating rigid body moving with constant angular velocity & v = rw So:
More Rotational Motion questions · Browse all practice questions