Physics

posted by .

A large solid cylinder rolls without slipping down a 40 m long hill with a 30 degree slope. The cylinder then rolls a short distance over level ground and then off a 20 meter high sheer cliff. How far from the base of the cliff does the cylinder land? Ignore friction and air resistance

  • Physics -

    The law of conservation of energy
    PE =KE,
    PE = m•g•h = m•g•s•sinα,
    KE = KE1 + KE2 = m•v^2/2 + I•ω^2/2=
    = m•v^2/2+ (m•R^2/2) •v^2/2•R^2 =
    =3•m•v^2/4.
    m•g•s•sinα =3•m•v^2/4.
    v = sqrt(4• m•g•s•sinα/3) = 16.2 m/s.
    H =gt^2/2, t = sqrt(2•H/g) = 2.02 s.
    L =v•t = 16.2 • 2.92 = 32.7 m.

  • Physics -

    Thank you so much, Elena!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A cylinder with a diameter of 23 cm rolls with an angular speed of 0.30 rad/s on a level surface. If the cylinder experiences a uniform tangential acceleration of 0.022 m/s2 without slipping until its angular speed is 1.01 rad/s, through …
  2. physics

    In the figure below, a solid cylinder of radius 12 cm and mass 11 kg starts from rest and rolls without slipping a distance L = 6.0 m down a roof that is inclined at angle è = 30°. (a) What is the angular speed of the cylinder about …
  3. Physics

    A cylinder with a diameter of 16 rolls with an angular speed of 0.055 on a level surface. If the cylinder experiences a uniform tangential acceleration of 0.020 without slipping until its angular speed is 1.0 , through how many complete …
  4. Physics Classical Mechanics

    A hollow cylinder of outer radius R and mass M with moment of inertia about the center of mass Icm=MR2 starts from rest and moves down an incline tilted at an angle θ from the horizontal. The center of mass of the cylinder has …
  5. 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?
  6. physics

    A solid uniform cylinder of mass 4.6 kg and radius 0.051 m rolls without slipping at a speed of 0.78 m/s. What is the cylinder’s total kinetic energy?
  7. Physics

    A solid cylinder rolls down an incline plane without slipping. If the center of mass of the cylinder has a linear acceleration of 2.67 m/s2, what is the angle of the incline to the horizontal?
  8. Physics

    A round object with mass m and radius R rolls down a ramp that makes an angle θ with respect to the horizontal. You can assume there is static friction so that the object rolls without slipping. a) For now, take the moment of …
  9. engineering science

    A solid cylinder rolls from rest down an incline 6m high without slipping. calculate the linear velocity at the foot of the plane
  10. Physics

    A ring (hollow cylinder) of mass 2.89kg, inner radius 5.35cm, and outer radius 6.35cm rolls (without slipping) up an inclined plane that makes an angle of θ=35.6°, as shown in the figure below. At the moment the ring is at position …

More Similar Questions