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gap0063
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Homework Statement
A spring with a spring-constant 2.5 N/cm is compressed 35 cm and released. The 4 kg mass skids down the frictional incline of height 37 cm and inclined at a 20◦ angle. The acceleration of gravity is 9.8 m/s2 . The path is frictionless except for a distance of 0.5 m along the incline which has a coefficient of friction of 0.3.
What is the final velocity vf of the mass?
Answer in units of m/s.
k=2.5 N/cm= 250 N/m
d=35 cm=.35m
m= 4 kg
h=37cm=.37,
theta=20◦
distance of friction = .5 m
Coefficient of friction=.3
Homework Equations
Wnc=[tex]\Delta[/tex]K+[tex]\Delta[/tex]Uspring+[tex]\Delta[/tex]Ugravity
The Attempt at a Solution
vi=0
so Wnc=Kf+ [tex]\Delta[/tex]Uspring+[tex]\Delta[/tex]Ugravity
Wnc= 1/2mvf+ 1/2kx2+mgh
my question is... where does friction come in... f=uN=u*mg from the equation above... and which x do I use for [tex]\Delta[/tex]Uspring... is it .35m? the compression of the spring?