A spring (75N/m ) has an equilibrium length of 1.00m . The spring is compressed

Question

A spring (75N/m ) has an equilibrium length of 1.00m . The spring is compressed to a length of 0.50m and a mass of 2.2kg is placed at its free end on a frictionless slope which makes an angle of 41deg. with respect to the horizontal. The spring is then released. (Figure 1)If the mass is attached to the spring, how far up the slope from the compressed point will the mass move before coming to rest? Now the incline has a coefficient of kinetic friction . If the block, attached to the spring, is observed to stop just as it reaches the spring's equilibrium position, what is the coefficient of friction ?

Explanation / Answer

energy stored in spring = 1/2kx^2

= 0.5*75*0.50^2

= 9.375 J

work done in moving the block up

= mgsin41*s s is up distnace

= 14.14*s

9.375 = 14.14*s

s = 0.663 m

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