A ball with a mass of #20 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #24 (kg)/s^2# and was compressed by #5/4 m# when the ball was released. How high will the ball go?

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Answer 1 · 2016-04-29T09:30:11

#h=96,15m#

#E_p=1/2*K*Delta x^2" energy saved for compressed spring"#

#K=24(kg)/s^2#

#Delta x=5/4 m#

#E_p=1/2*24*(5/4)^2#

#E_p=1/2*24*25/16#

#E_p=75/4J#

#E=m*g*h" potential energy for raised object"#

#m=20g=0,02 kg#

#g=9,81 m/s^2#

#h=?#

#E=0,02*9,81*h#

#"so ; " E_p=E#

#75/4=0,02*9,81*h#

#75=0,78.h#

#h=75/0,78#

#h=96,15m#