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?

1 Answer
Apr 14, 2016

h=1,09" "m

Explanation:

"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