Explore BrainMass

Explore BrainMass

    Compressions of a Spring When a Box is Pushed Down a Hill Toward It

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please see the attached file for full problem description.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:03 pm ad1c9bdddf
    https://brainmass.com/physics/velocity/compressions-of-a-spring-when-a-box-is-pushed-down-a-hill-toward-it-26598

    Attachments

    Solution Preview

    m = 14 kg, k = 180 N/m, d = 4 m, angle theta = 30 deg.; g = 9.8 m/s^2

    a) max. Compression:
    ----------------

    Let the max. compression be x meters.

    Let us compute x more accurately by NOT assuming that x<<4.

    Taking the final totally compressed level as the reference for height (and hence for P.E. calculations)

    So original height = h = (x+4)*Sin (30 deg.)

    We will use the conservation of energy principles to ...

    Solution Summary

    The solution explains the steps taken to calculate the compressions of a box sliding down a frictionless hill to collide with a spring clearly and comprehensively.

    $2.19

    ADVERTISEMENT