11.49.Model:We will use the spring, the package, and the ramp as the system. We will model the package as a particle. Visualize:We place the origin of our coordinate system on the end of the spring when it is compressed and is in contact with the package to be shot. Model:(a)The energy conservation equation is 1g1s1th0g0s0ext222211eeth00ext1111()()2222KUUEKUUWmvmgyk xxEmvmgykxW+++ Δ=+++++−+ Δ=++Δ+Using 11 m,y=th0 JEΔ=(note the frictionless ramp), 00 m/s,v=00 m,y=30 cm,xΔ=and ext0 J,W=we get 2212221111(1 m)0 J0 J0 J0 J(0.30 m)0 J2211(2.0 kg)(2.0 kg)(9.8 m/s)(1 m)(500 N/m)(0.30 m)221.70 m/smvmgkvv+++=++++=⇒=(b)How high can the package go after crossing the sticky spot? If the package can reach 11.0 my
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