posted by .

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 contacts the spring?
b.) What is the velocity of the ball at that point using energy methods?
c.) After the ball contacts the spring, what distance will the spring be compressed from its equilibrium point?
d.) If the ramp is 2.00m long and has a coefficient of friction of μk = 0.10, use energy methods to find the speed of the ball at the bottom of the ramp.

  • Physics -

    a) Ke at bottom= PE at the top= mgh
    b) 1/2 m v^2=KE
    c) spring PE= KE of ball hitting it
    = 1/2 k x^2 solve for x
    d) energy lost on ramp= .1*mg*SinTheta*2.0m

    so subtract that from the initil energy mgh, and then set that equal to 1/2 m v^2 and solve for v.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A child's toy 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. (Intro 1 figure) The spring has a spring constant k, the ball has a mass m, and the ramp …
  2. 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 …
  3. physics

    A 0.8 kg block is shot horizontally from a spring, as in the example above, and travels 0.545 m up a long a frictionless ramp before coming to rest and sliding back down. If the ramp makes an angle of 45.0° with respect to the horizontal, …
  4. physics

    A physics student pulls a block of mass m = 23 kg up an incline at a slow constant velocity for a distance of d = 4 m. The incline makes an angle q = 25° with the horizontal. The coefficient of kinetic friction between the block and …
  5. physics

    The spring in the muzzle of a child's spring gun has a spring constant of 780 N/m. To shoot a ball from the gun, first the spring is compressed and then the ball is placed on it. The gun's trigger then releases the spring, which pushes …
  6. Phy

    A 2.0 kg ball is placed against a spring of force constant 750N/m, which has been compressed 0.28m. The spring is released and the ball moves along a horizontal frictionless surface and up a ramp. Calculate the... a) maximum elastic …
  7. physics

    A spring loaded gun is used to shoot a 1.3 kg ball from a rooftop. When the gun is fired, a compressed spring will be released shooting the ball into the air. The ball will travel in a parabolic path eventually striking the ground …
  8. physics

    A horizontal spring with spring constant of 120 N/m is compressed a distance of 0.25 m and placed in front of a ramp angled at 30° above the horizontal. A 1.5 kg ball is placed in front of it and released. How far will the ball roll …
  9. Physics

    A small ball with a mass of 30.0 g is loaded into a spring gun, compressing the spring by 13.0 cm. When the trigger is pressed, the ball emerges horizontally from the barrel at a height of 2.30 m above the floor. It then strikes the …
  10. Physics and Math

    A small ball with a mass of 1 kg rolls down a long frictionless inclined ramp, which is at an angle 3o Degree above the horizon. A linear spring, whose length is not negligible, is attached to the bottom of the ramp. The ball is released …

More Similar Questions