A ball with a mass of #480 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #16 (kg)/s^2# and was compressed by #4/5 m# when the ball was released. How high will the ball go?

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Answer 1 · 2016-04-14T15:48:47

#h=1,09" "m#

#"the stored energy for compressed spring :" E=1/2*k*Delta x^2#

#k=16 N/(m)" "Delta x=4/5 m#

#E=1/2*16*(4/5)^2#

#E=1/2*16*16/25#

#E=5,12 J#

#"the potential energy equation for an object raising from earth :"#
#E_p=m*g*h#

#m=480 g=0,48 kg" "g=9,81 N/(kg)#

#E=E_p#

#5,12=0,48*9,81*h#

#h=(5,12)/(0,48*9,81)#

#h=(5,12)/(4,7088)#

#h=1,09" "m#