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

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Answer 1 · 2016-04-29T09:30:11

$h = 96, 15 m$ $h=96,15m$

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

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

$Delta x=5/4 m$

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

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

$E_p=75/4J$

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

$m=20g=0,02 kg$

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

$h=?$

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

$"so ; " E_p=E$

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

$75=0,78.h$

$h=75/0,78$

$h=96,15m$

A ball with a mass of 20 g20g20 g is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of 24 (kg)/s^224kgs224 (kg)/s^2 and was compressed by 5/4 m54m5/4 m when the ball was released. How high will the ball go?