Question

A pinball machine launch ramp is constructed by placing a spring of force constant kat the bottom of a ramp of length L inclined at 30 degrees . This is the third of three questions that refer to the pinball machine Now suppose that the ramp is waxed, so there is no friction. What is the distance the spring should be compressed, this time , so that the ball just makes it to the top of the ramp?

Answer 1

To find the compression required we can apply the energy conservation. First we have to find the velocity of ball just after releasd and then we can again apply energy conservation. Since there is no friction, we don't have to take rotation effect.

Prob. B Pero K esinoh m fu 0 = 30° led.spring is compressed ». Velocity of ball just after Launched >> Then P.E.) spring Kile) ball Energy conservation 12 Kx² 5 m9 2 » mo2= kx2 02= KA² Again applying energy conservation between 13. AKÊ AD.E. 2 ทาง mgh ² = gh - gilsine substituting 02 from . mge Ika2 gilisin 3oº → к 2

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