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The 18 kg block shown in Figure 1 slides 2.5 m from rest down the 30° incline and then strikes
a spring of stiffness 2700 N/m. The coefficient of friction between the block and the surface of
the inclined plane is 0.2 Calculate the maximum amount by which the spring will be
compressed.
2.5 m
18 kg
30°
Figure 1

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An inclined plane of angle θhas a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface as shown. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v. Calculate By what distance is the spring compressed when the block momentarily comes to rest? develop an equation for x. x when θ=30.0° , k = 1 kN/m, m = 5 kg, d = 0.5 m, and v =1 m/s. If we add another spring in series, by what distance is the spring compressed when the block momentarily comes to rest? If we add another spring in parallel, by what distance is the spring compressed when the block momentarily comes to rest? Part 3 & 4 are where I am struggling