physics

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A 5 kg block is placed near the top of a frictionless ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3000 N/m. The block slides down the ramp and compresses the spring. Find the magnitude of the maximum compression of the spring.

xmax=?

  • physics -

    Use conservation of energy.
    At the top of the ramp and end of compression, the kinetic energy is zero, so
    Initial gravity P.E. = Final spring P.E.

    M g d sin30 = (1/2) k Xmax^2

    Solve for Xmax

  • physics -

    .146

  • physics -

    0.15419320656221194

  • physics -

    .145679

  • physics -

    you must account for the distance the spring compresses as well as the 1.3m the block travels the final equation will turn out to be a quadratic

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