The spring in the figure has a spring constant of 1000 N / m . It is compressed

Question

The spring in the figure has a spring constant of 1000N/m . It is compressed 14.0cm , then launches a 200g  block. The horizontal surface is frictionless, but the block's coefficient of kinetic friction on the incline is 0.210.

What distance d does the block sail through the air?

The spring in the figure has a spring constant of 1000N/m . It is compressed 14.0cm , then launches a 200g block. The horizontal surface is frictionless, but the block's coefficient of kinetic friction on the incline is 0.210. What distance d does the block sail through the air?

Explanation / Answer

first we need to find launch velocity
Ei + W friction = Ef

1/2 kx^2 - u m g cos theta d= 1/2 mv^2

0.5*1000*.14^2 - 0.21*.2*9.81*cos(45)*2*sin(45) = 0.5*.2*v^2

v=9.69 m/s

d = v^2 sin (2 theta)/g = 9.69^2/9.81= 9.57 m

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