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1 August, 21:41

A cleaver physics professor wants to create a situation where a block starts from rest at the top of a 31.0° inclined plane and encounters a spring at the bottom of the incline. The spring has a constant 3.4 kN/m and the block's mass is 33.0 kg. How far does the block travel before hitting the spring, if the spring was compressed 37 cm in it's initial collision?

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  1. 1 August, 22:06
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    Let the length of inclined plane be L.

    work done by gravity on the block

    = force x length of path

    = mg sinθ x L, m is mass of the block, θ is inclination of path

    This in converted into potential energy of compressed spring

    1/2 k x² = mgL sin31, k is force constant. x is compression

    .5 x 3400 x. 37² = 33 x9.8 x sin31 L

    L = 1.4

    Length of incline = 1.4 m.
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