CUC

posted by .

1.(a) A solid sphere of mass 100gm and radius 2.5cm rolls without sliding wit ha uniform velocity of 10cm/sec along a straight line on a smooth horizontal table. Calculate the total energy.
(b) A hoop of radius 100cm and mass 19kg is rolling along a horizontal surface, so that its center of mass has a velocity of 20cm/sec. How much work will have to be done to stop it?

  • physics -

    Subject is not CUC but physics

  • physics -

    In each case, add the translational kinetic energy, (M/2)V^2, to the rotational kinetic energy, (I/2)w^2.
    I is the moment of intertia about the center of mass and w is the angular velocity.

    (1a) (M/2)V^2 = (1/2)*0.050*(0.1)^2
    = 2.5*10^-4 J
    (I/2)w^2 = (1/2)(2/5)M*R^2*(V/R)^2
    = (M/5)V^2 = 1.0*10^-4 J
    Total = 3.5*10^-4 J

    (1b) (M/2)V^2 = (0.5)(0.019)(0.2)^2 J
    (I/2)w^2 = (0.5)M*R^2(V/R)^2
    = (0.5)M*V^2
    Translational and rotational KE are equalo for the hoop. The work required to stop is the negative of that.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell - each has a mass of 4.59 kg and a radius of 0.252 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in the table …
  2. physics

    A uniform solid sphere of mass M and radius R is rolling without sliding along a level plane with a speed v = 2.30 m/s when it encounters a ramp that is at an angle è = 27.6° above the horizontal. Find the maximum distance that the …
  3. Physics

    A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 4.4 m down a q = 20° incline. The sphere has a mass M = 4.6 kg and a radius R = 0.28 m. Of the total kinetic energy of the sphere, what …
  4. Physics

    A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 4.4 m down a q = 20° incline. The sphere has a mass M = 4.6 kg and a radius R = 0.28 m. What is the translational kinetic energy of the …
  5. physics

    As part of a kinetic sculpture, a 5.6 kg hoop with a radius of 3.8 m rolls without slipping. If the hoop is given an angular speed of 2.1 rad/s while rolling on the horizontal and then rolls up a ramp inclined at 17.7◦ with the …
  6. Physics

    An green hoop with mass mh = 2.4 kg and radius Rh = 0.14 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.2 kg and radius Rd = 0.1 m. The other end of the string is attached to a massless axel through …
  7. Physics

    A uniform solid sphere rolls along a horizontal frictionless surface at 35 m/s and makes a smooth transition onto a frictionless incline having an angle of 300. How far up the incline does the sphere roll when it comes to a momentary …
  8. Physics

    A uniform solid sphere rolls along a horizontal frictionless surface at 35 m/s and makes a smooth transition onto a frictionless incline having an angle of 300. How far up the incline does the sphere roll when it comes to a momentary …
  9. Physics

    A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 4.8 m down a θ = 36° incline. The sphere has a mass M = 3.2 kg and a radius R = 0.28 m. If there is no frictional force, what is …
  10. Physics

    A hoop of radius 1.4 m and mass 11.5 kg has a small ball stuck to its inside surface. The ball has a radius of one quarter that of the hoop, and twice the hoop’s mass. The hoop may roll freely, without slipping. Similarly, the ball …

More Similar Questions