- #1
BryceHarper
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Homework Statement
The spring in the figure has a spring constant of 1000 N/m. It is compressed 13.0 cm, then launches a 200 g block. The horizontal surface is frictionless, but the block's coefficient of kinetic friction on the incline is 0.220. What distance does the block sail through the air?
Homework Equations
.5(k)(x^2)
.5(m)(V^2)
Wnc=Ef-Ei
The Attempt at a Solution
I think I'm pretty close to solving this problem but I'm messing up somewhere...
I know I need to find the final velocity of the mass right when it gets to the top of the incline so I'm going to use Wnc=Ef-Ei. (To find Ei I used potential energy of a spring formula .5(k)(x^2).
So...
-μk(cosθ)(m)(g)(L)=.5(m)(Vf^2)+(m)(g)(h)-.5(k)(x^2)
The distance the mass traveled up the incline is L so L=2/sin45
-.22(cos45)(.2)(9.8)(2/sin45)=.5(.2)(Vf^2)+.2(9.8)(2)-.5(1000)(.13^2)
I get that Vf=1.38m/s
To find the distance I simply use R=Vf^2/g and get .19 but it's wrong? Can someone help me out??!