A dude is spinning a 1.0 kg mass on the end of a 1.5 meter string. He gets it spinning at a constant rate of 4.0 rev/sec. The string breaks such that the mass is thrown into projectile motion with an initial angle of 45° to the ground (assume that it is launched from ground level). When it hits its maximum height, it slides along a frictionless horizontal platform where it encounters a ramp going up 5.0 meters. At the top of the ramp, the mass collides with a 4.0 kg mass, initially at rest, and the two stick together. The two masses now slide down a ramp that has an angle of 10° to the horizontal, at constant velocity (which means there is friction on the ramp). At the bottom of the ramp, the masses again move along a frictionless surface where they hit a spring which has a spring constant of 1000 N/m.
a) What is the coefficient of friction on the down-ramp?
b) What is the maximum compression of the spring?
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