Physics-
General
Easy

Question

A ball rolls down an inclined plane and acquires a velocity vr when it reaches the bottom of the plane. If the same ball slides without friction rather than rolling from the same height down an equally inclined smooth plane and acquires a velocity vs, which of the following statements is/are correct ?

  1. vr < vs, because a work is done by the rolling ball against the frictional force  
  2. vr > vs, because the angular velocity makes the rolling ball to travel faster  
  3. vr = vs, because kinetic energy of two balls is same at bottom of planes  
  4. vr < vs, because the rolling ball acquires  

The correct answer is: vr < vs, because the rolling ball acquires


    well translational KE

    Related Questions to study

    General
    Physics-

    When a force F acts on a side of the hexagonal body will–

    When a force F acts on a side of the hexagonal body will–
    Physics-General

    General
    Physics-

    A rod of mass M kg and length L metre is bent in the form of an equilateral triangle as shown in the figure. The moment of inertia of triangle about a vertical axis to perpendicular to the plane of triangle and passing through the centre (in units of kg-m2) is–

    A rod of mass M kg and length L metre is bent in the form of an equilateral triangle as shown in the figure. The moment of inertia of triangle about a vertical axis to perpendicular to the plane of triangle and passing through the centre (in units of kg-m2) is–

    Physics-General
    General
    Physics-

    A rigid body is made of three identical thin rods fastened together in the form of a letter H. The body is free to rotate about a horizontal axis that passes through one of the legs of H. The body is allowed to fall from rest from a position in which the plane of the H is horizontal. Then the angular speed of the body when the plane of the H is vertical is -

    A rigid body is made of three identical thin rods fastened together in the form of a letter H. The body is free to rotate about a horizontal axis that passes through one of the legs of H. The body is allowed to fall from rest from a position in which the plane of the H is horizontal. Then the angular speed of the body when the plane of the H is vertical is -

    Physics-General

    parallel
    General
    Physics-

    A length L of flexible tape is tightly wound. It is then allowed to unwind as it rolls down a steep incline that makes an angle  with the horizontal, the upper end of the tape being tacked down. Then, the tape unwinds completely in time equal to –

    A length L of flexible tape is tightly wound. It is then allowed to unwind as it rolls down a steep incline that makes an angle  with the horizontal, the upper end of the tape being tacked down. Then, the tape unwinds completely in time equal to –
    Physics-General

    General
    Physics-

    A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speeds 2v and v, respectively, strike the bar and stick to the bar after collision. Then the angular velocity of the bar (about the centre of mass) is –

    A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speeds 2v and v, respectively, strike the bar and stick to the bar after collision. Then the angular velocity of the bar (about the centre of mass) is –
    Physics-General

    General
    Physics-

    A uniform meter stick of mass M is hinged at one end and supported in a horizontal position by a string attached to the other end as shown in figure. If the string is cut, then the initial angular acceleration of the stick is-

    A uniform meter stick of mass M is hinged at one end and supported in a horizontal position by a string attached to the other end as shown in figure. If the string is cut, then the initial angular acceleration of the stick is-
    Physics-General

    parallel
    General
    Physics-

    A circular wooden hoop of mass m and radius R rest on a horizontal frictionless surface. A bullet, also of mass m and moving with a velocity V, strikes the hoop and get embedded in it. The thickness of the is much smaller than R. The angular velocity with which the system rotates after bullet strikes the hoop is –

    A circular wooden hoop of mass m and radius R rest on a horizontal frictionless surface. A bullet, also of mass m and moving with a velocity V, strikes the hoop and get embedded in it. The thickness of the is much smaller than R. The angular velocity with which the system rotates after bullet strikes the hoop is –
    Physics-General

    General
    General

    A reaction proceeds by first order, 75% of this reaction was completed in 32 min. the time required for 50% completion is

    A reaction proceeds by first order, 75% of this reaction was completed in 32 min. the time required for 50% completion is

    GeneralGeneral
    General
    General

     The rate of first order reaction, 𝐴 ⟶ Products, is 7.5 × 10−4mol litre−1sec−1. If the concentration of 𝐴 is 0.5 mol litre−1 the rate constant is:

     The rate of first order reaction, 𝐴 ⟶ Products, is 7.5 × 10−4mol litre−1sec−1. If the concentration of 𝐴 is 0.5 mol litre−1 the rate constant is:

    GeneralGeneral
    parallel
    General
    Physics-

    A vertical loop of radius R and mass rolls without slipping on horizontal circular tracks of radius R with velocity v as shown. The total kinetic energy of the loop is –

    A vertical loop of radius R and mass rolls without slipping on horizontal circular tracks of radius R with velocity v as shown. The total kinetic energy of the loop is –
    Physics-General

    General
    Physics-

    A thin circular ring of mass M and radius r is rotating about the axis with angular speed . Two particles having mass m each are now attached at diametrically opposite points. the angular speed of the ring wire become –

    A thin circular ring of mass M and radius r is rotating about the axis with angular speed . Two particles having mass m each are now attached at diametrically opposite points. the angular speed of the ring wire become –

    Physics-General
    General
    Physics-

    Uniform cylinder rolls from rest down the side of a through whose vertical dimension y is given by the equation y = kx2. The cylinder does not slip from A to B but the surface of trough is frictionless from B to C. Then height of ascent of cylinder towards C is –

    Uniform cylinder rolls from rest down the side of a through whose vertical dimension y is given by the equation y = kx2. The cylinder does not slip from A to B but the surface of trough is frictionless from B to C. Then height of ascent of cylinder towards C is –
    Physics-General

    parallel
    General
    Physics-

    A square of side 'a' is cut from a square of side '2a' as shown in the figure. Mass of this square with hole is M. Then its moment of inertia about an axis passing through its CM and perpendicular to its plane will be –

    A square of side 'a' is cut from a square of side '2a' as shown in the figure. Mass of this square with hole is M. Then its moment of inertia about an axis passing through its CM and perpendicular to its plane will be –
    Physics-General

    General
    Physics-

    The minimum value of F for which the cube(a) begins to topple about an edge is–

    The minimum value of F for which the cube(a) begins to topple about an edge is–
    Physics-General

    General
    Physics-

    A disc of moment of inertia I is rotating about its axis, which is initially along the vertical direction, making ‘n’ revolution per minute. The axis gradually tilts becomes horizontal and the disc rotates about the horizontal axis with the same revolution per minute. The total time, taken in doing so is t seconds then the torque acting on the body is–

    A disc of moment of inertia I is rotating about its axis, which is initially along the vertical direction, making ‘n’ revolution per minute. The axis gradually tilts becomes horizontal and the disc rotates about the horizontal axis with the same revolution per minute. The total time, taken in doing so is t seconds then the torque acting on the body is–

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.