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March 28, 2017

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a mass is released from rest from a height of 4m. it slides down a frictionless ramp then along a 20 degree incline section of rough track. how far does it slide along the incline before coming to rest?

friction coeficient= .2
? help!

thanks!

  • physics - ,

    The first thing is to figure the height it fell.

    Let the ramp be length L along the sliding service, and d the distance it slid.

    Final height h= (L-d)/cos20

    height it fell then total is
    Heightfell=4-(L-d)/cos20
    energy used in stopping is
    weight normal*mu*distance
    mgcos20*.2*d
    so, using energy...

    1/2 m(4-(L-d)/cos20)=mgcos20*.2*d
    so solve for d. You didn't mention L, the length of the ramp, but you have to have it.

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