Block on a Curved Bowl: A0.30- kg block slides along a small track with elevated

Question

Block on a Curved Bowl: A0.30-kg block slides along a small track with elevated endsand a flat central part. The flat part has a length L =1.59 m. The curved portionsof the track are frictionless, but for the flat part thecoefficient of kinetic friction is 0.126. The block is releasedfrom rest from a height h = 84 cm on the leftcurved portion of the track. Calculate the maximum heightreached by the block on the right curved portion of thetrack.
2. Sliding intospring: A block ofmass m = 2.1 kg is releasedfrom rest at a height of H = 5.0 m on a curvedfrictionless ramp. At the foot of the ramp is a spring whose springconstant is k = 129.0 N/m.What is the maximum compression of thespring, x? After thespring reaches its maximum compression, it pushes the blockbackwards. What is the maximum height reached by theblock?

Explanation / Answer

m=2.1 h=5m k=129N/m mgh=0.5kx^2 sqrt(2mgh/k)=x x=1.263m (how far the spring is compressed) Since no energy is lost in the spring or by friction. Theblock will reach its height of 5 m again.

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