Physics

posted by .

A solid ball of mass 3 kg, rolls down a hill that is 7 meters high.  What is the rotational KE at the bottom of the hill?

  • Physics -

    loss of potential energy = m g h = 3*9.81* 7 = 206 Joules

    = translational Ke + rotational Ke

    = (1/2) m v^2 + (1/2)I omega^2

    Note
    I = (2/5) m r^2
    v = omega r
    so
    206=(1/2)m v^2 + (1/2)(2/5)m r^2 v^2

    412 = 1.4 *3 v^2
    v = 9.9 m/s

    then calculate (1/2) (2/5)(3) v^2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    4. An 800.0 kg roller coaster car is at rest at the top of a 95 m hill. It rolls down the first drop to a height of 31 m. When it travels to the top of the second hill, it is moving at 28 m/s. It then rolls down the second hill until …
  2. Physics

    A 5 kg ball is initially at rest at the top of a hill 10m high. If it rolls down the hill (converting all of its potential energy to kinetic energy,) what is the maximum kinetic energy it could have at the bottom of the hill?
  3. physics

    The cart starts from rest at the top of a hill with height, H1. It rolls down the hill and at the bottom of the hill it has a speed of 8 m/s. Next it is at the top of same hill but pushed so that it starts at the top of the hill with …
  4. physics

    The cart starts from rest at the top of a hill with height, H2. It rolls down the hill and at the bottom of the hill it has a speed of 10 m/s. Next it is at the top of same hill but pushed so that it starts at the top of the hill with …
  5. PHYSICS

    An 800.0 kg roller coaster car is at rest at the top of a 95 m hill. It rolls down the first drop to a height of 31 m. When it travels to the top of the second hill, it is moving at 28 m/s. It then rolls down the second hill until …
  6. Physics

    What is the minimum height you would have to place a solid ball of mass M and radius R (I=2MR^2/5) on a hill in order for the ball to make it completely around a circular loop at the bottom of the hill?
  7. Physics

    A 5.6 kg ball (I=2/3mr^2) starts on a hill 11.3 m above level surface of the ground. The ball then rolls (without slipping) down the hill. What is the linear speed of the ball when it reaches the bottom of the hill?
  8. Physics

    A hollow sphere starts from rest and rolls down a hill without sliding. At the bottom of the hill, it has a linear velocity of 5 m/s. What was the height of the hill the sphere rolled down (in meters)?
  9. Physical science

    A ball rolls down a hill which has a vertical height of 15m .ignoring friction, what would be the (A)gravitation potential energy of the ball when it is at the top of the hill?
  10. Physics

    A solid ball of mass 2 kg, rolls down a hill that is 6 meters high.  What is the rotational KE at the bottom of the hill?

More Similar Questions