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Ball Spring

by admin in Boxing Games Online | Posted on April 4th, 2010 | 1 Comment
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Ball Spring
Ball Spring
Spring-Ball System?


A small steel ball bearing with a mass of 28 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.35 m. Calculate the speed at which the ball leaves the spring.

Help please...even a formula so i can even atempt this problem woould be helpful..

A couple of simple to remember equations to start with. (Remembering the units will help you to put the equations together the right way.)

Velocity (m/sec) = acceleration (m/sec^2) x time (sec)

Distance (m) = velocity (m/sec) x time (sec)

Combine these two equations:

Distance (m) = acceleration (m/sec^2) * time^2 (sec)^2

In this case, the acceleration is from gravity, so you get this simplified equation:

D = g x t^2

Since you know the distance and you know gravity you can solve for the time it takes for the ball bearing to reach the top of its trajectory.

Then just use the second equation above (V = g x t) to solve for the velocity. If you do this right you should get an initial velocity of 3.64 m/sec. Good luck!



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Montana State spring ball: Putting on the pads

Spring Ball?


A spring-loaded toy gun is used to shoot a ball straight up in the air. The ball reaches a maximum height H, measured from the equilibrium position of the spring.

The same ball is shot straight up a second time from the same gun, but this time the spring is compressed only half as far before firing. How far up does the ball go this time? Neglect friction. Assume that the spring is ideal and that the distance by which the spring is compressed is negligible compared to H.

Height = ??

H/4

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One Response to “Ball Spring”

  1. Alejandro Says:
    September 13th, 2010 at 2:29 am

    1. 52 = k(0.63 – Xo) 79 = k(0.89- Xo) You have two eqns with 2 unknowns. Eliminate Xo and solve for k.

    2. First fine the spring constant: 80 = k(0.193) solve for k.
    Then use conservation of energy (1/2)kx^2 = (1/2)mv^2. Solve for v.

    3. Open at one end or both ends? One end: 1/4 wavelength in pipe
    Both ends: 1/2 wavelength in pipe. Use that fact and v = f * wavelength where v is the velocity of sound at 15C.

    4. Only difference is that you will have to use the speed of sound in helium at 20C.

    Good luck.