Physics

posted by .

You roll a 5 kg bowling ball (R=20cm) with an initial speed of 10 m/s up a 30 degree ramp that is 12 m long. Will the ball reach the top of the ramp? (support your answer)

  • Physics -

    What is the translational (1/2 mv^2) PLUS the initial rotational energy (1/2 I w^2, where w=vr). Will that equal mgh?

  • Physics -

    Thanks bobpursley! I was somewhere close to that idea. I had mgh=1/2mv^2 + 1/5mv^2. I let h=12sin30. I was solving for velocity for some reason, doh!

  • Physics -

    so I have mgh = 300.
    i have my rotational energy = 350.
    so it will reach the top, correct?

  • Physics -

    Try to obtain the general solution of the problem, i.e.,
    KE=PE
    KE(tr) + KE(rot) =PE

    0.7m•v²/2 = m•g•h
    h=0.7•v²/g=70/9.8=7.14 m.

    h(real)=s•sinα=12•0.5=6 m
    Since 7,14>6, the ball‘ll
    rich the top of the ramp.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A child's game consists of a block that attaches to a table with a suction cup, a spring connected to that block, a ball, and a launching ramp. By compressing the spring, the child can launch the ball up the ramp. The spring has a …
  2. physics

    A ball rolls up a ramp which abruptly ends with the ramp dropping straight down. The ball launches off the end of the ramp while still traveling at an upward trajectory, goes through projectile motion, and returns to the same height …
  3. Physics

    After you pick up a spare, your bowling ball rolls without slipping back toward the ball rack with a linear speed of v = 3.41 m/s To reach the rack, the ball rolls up a ramp that rises through a vertical distance of h = 0.529 m. What …
  4. Physics

    Modern bowling alleys have automatic ball returns. The ball is lifted to a height of 2.50 at the end of the alley and, starting from rest, rolls down a ramp. It continues to roll horizontally and eventually rolls up a ramp at the other …
  5. Physics

    A 1.20kg ball is rolled down a frictionless ramp whose top is 0.80m above a horizontal spring with ks = 800N/m. The ball reaches the horizontal just in front of the spring. a.) What is the kinetic energy of the ball just before it …
  6. physics

    After you pick up a spare, your bowling ball rolls without slipping back toward the ball rack with a linear speed of v = 3.27 m/s To reach the rack, the ball rolls up a ramp that rises through a vertical distance of h = 0.572 m. What …
  7. physics

    A 2.25 kg ball experiences a net force of 965 N up a ramp. Once the ball reaches the top of the ramp, the force no longer acts. The force acts over a distance of 1.50 m on the ramp. Find the horizontal distance x that the ball travels …
  8. physics

    A spherical bowling ball with mass m = 4.1 kg and radius R = 0.116 m is thrown down the lane with an initial speed of v = 8.9 m/s. The coefficient of kinetic friction between the sliding ball and the ground is ¦Ì = 0.34. Once the …
  9. Physics

    A ball is rolled up a ramp from the point B shown below, with an initial speed of 5 miles per hour. It continues up the ramp to point C before it begins to roll back down. Throughout the motion up and down the ramp, the ball maintains …
  10. Physics

    After you pick up a spare, your bowling ball rolls without slipping back toward the ball rack with a linear speed of = 3.18 m/s. To reach the rack, the ball rolls up a ramp that rises through a vertical distance of = 0.510 m. What …

More Similar Questions