An old pinball game machine starts play with a handle pulled back to compress a

Question

An old pinball game machine starts play with a handle pulled back to compress a spring on a slight upward incline with a metal ball at rest on the end. When the spring is released, the ball is sent forward and up the incline with a significant speed into the pinball machine. In this problem, the spring is compressed 8.7 cm and when released, the ball reaches a top speed of 4.5 m/s while rising up the small ramp to a vertical height of 1.5 cm (assume no friction). If the spring constant is 240 N/m, determine the mass of the metal ball

Explanation / Answer

let the mass of ball is m kg

conserving energy at initial point and final point

0.5*k*x^2=0.5*m*v^2 +mgh

here k,v,h.x are given

k=240

x=0.087 m

v=4.5 m/s

h=1.5 m

putting values we got m

m=0.03658 kg=36.58 gram

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