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Homework Statement
A spring with a spring constant = 1000 N/m is compressed 0.20 m then launches a block of mass 200 g. The horizontal surface is frictionless and the coefficient of kinetic friction with the inline is 0.15.
What horizontal distance does the block cover while in the air after it takes off at the top of the incline?
(diagram attached)
Homework Equations
The Attempt at a Solution
deltaK + deltaUg + deltaUs = 0
(1/2mv^2f -1/2mv^2i) + 0 + (1/2kx^2f - 1/2kx^2i) = 0
1/2mv^2f = 1/2kx^2i
v = sqrt(kx^2/m)
v = 14.14 m/s
Distance up incline:
x = 2.5m/sin50
=3.264 m
Acceleration:
-mgsin0 - ukmgcos0 = ma
a = -gsin50-(0.15)(-9.81)cos50
a = 6.562
Speed at the top:
v^2 = vi^2 +2ad
v = sqrt[14.14^2 + 2(6.562)(3.264)]
v = 15.58 m/s
I'm not sure what the next step would be (also not sure if the above steps are correct).
To find horizontal distance covered would I have to find the horizontal time and then using speed = distance/time solve for distance?
Thanks =]