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    A 37kg object is placed onto a coil spring which has been compressed 43mm. The force used to compress the spring was 35KN.The spring and the object are on the same incline plane angled at 21deg from the horizontal. If the coefficient of friction is 0.37,how far will the block travel up the slope?

    © BrainMass Inc. brainmass.com December 24, 2021, 4:45 pm ad1c9bdddf
    https://brainmass.com/engineering/structural-engineering/determining-distance-traveled-up-slope-5227

    SOLUTION This solution is FREE courtesy of BrainMass!

    A 37kg object is placed onto a coil spring which has been compressed 43mm.The force used to compress the spring was 35KN.The spring and the object are on the same incline plane angled at 21deg from the horizontal. If the coefficient of friction is 0.37,how far will the block travel up the slope?
    x= 0.043 m
    F= 35000 N
    k=F/x= 813953.49 N/m

    Energy stored in spring=1/2 K x 2=
    752.5000015 Joules
    This energy will be dissipated in moving up the incline(gain in Potential Energy) and in overcoming friction (Mu N) and the component of weight acting down the slope (mg Sin 21)
    Mu = 0.37
    m= 37 Kg
    Sin 21= 0.35836795
    Cos 21= 0.933580426

    Normal Force=N=mg Cos 21= 338.8616874
    Frictional Force=Mu N 125.3788243
    Component of weight acting down the slope=mg Sin 21= 130.0768146
    255.455639

    Work done against frictional force and component of weight
    acting down the slope= 255.455639 l
    Gain in PE=mg * l sin 21= 130.0768146 l
    385.5324536 l

    This is equal to energy stored initially in the spring= 752.5000015

    Equating the two
    385.5324536 l= 752.5000015
    or l= 1.95 m
    Distance traveled up the slope= 1.95 m

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

    © BrainMass Inc. brainmass.com December 24, 2021, 4:45 pm ad1c9bdddf>
    https://brainmass.com/engineering/structural-engineering/determining-distance-traveled-up-slope-5227

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