the question is(adsbygoogle = window.adsbygoogle || []).push({}); A mass of 3 kg is dropped from a height of 3.26 meters above a vertical spring anchored at its lower end to the floor. If the spring constant is 25 N/cm, how far to the nearest tenth of a cm, is the spring compressed?

alright so the gravitational potential energy is converted to kinetic as it falls which is the converted to elastic as it hits the spring.

mgh = 1/2kx^2

3(9.8)(3.26+x) = 1/2 2500 x^2

x= square root of 2(3)(9.8)(3.26+x)

----------------

2500

which then leaves (i think)

x = square root (3.26+x)

--------

42.5

now here's where i'm stuck... i'm not sure what to do next. :s the answer is supposed to be 28.9 cm though... i would be so grateful if someone would help me!!!

thanks

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# Homework Help: Spring Question

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