Part A A prodocossor of the pin-ball machine in the pin-cube tabio, In which a m

Question

Part A A prodocossor of the pin-ball machine in the pin-cube tabio, In which a metal oubo islaunched onto the play surface instead of a roing metal bal. The launcher mechanism and game board are picturod bo ow. A) [20 pts) Imagine that the pay surtace s a fricionless alr If tho tablo s angled upward by 20the pin cubo s a mass of 420 grams, and it must travel 1 10 mefter leaves spring to and onter the game board, what is tho minimum distanco payor must compress thek- ,000 Nim sprig fo Fo Sp aunch? 0 Minimum distance such that cube enters table play Submit My Anawors Give Up Part B B) (10 pts EXTRA CREDIT A roulistic board would have probably have a cootoont cf kinesc tricton of approxmatoly 0.46·it friction ts tioon nto accoun·how far would you nood to comproes to spring ton?

Explanation / Answer

(A) first it have to be compressed upto its equilibrium position.

Fnet = kx - m g sin(theta) = 0

4 x = (0.420)(9.81)(sin20)

x = 0.352 m

total compression = 1.10 + 0.352 = 1.45 m

(b) kx - m g sin(theta) - f= 0

and f = uk N = uk m g cos(theta)

4(x) - (0.420)(9.81)(sin20) - (0.45)(0.420)(9.81)(cos20) = 0

x = 0.788 m

total compression = 1.10 + 0.788 = 1.89 m

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