Question

A pinball machine launch ramp is constructed by placing a spring of force constant ? at the bottom of a ramp of length ? inclined at 30 degree. The spring is compressed at a distance of x= √mgL/k (sqrt mgL/k) so that when launched, the pinball (sphere of mass m and radius r) barely reaches the top of the ram without rolling back. How, suppose that the ramp is waxed, so there is no friction. Find the distance the spring should be compressed, this time, so that the ball just makes it to the top of the ramp.

Answer 1

h 130 more Leight of ramp h= Lsinzo h= L 2 so decreau in potential energy = mgh mgh / kn? of so mgl. mg = 1 kent mar X = compresion of spring.