I need help with this question.... A ballistic pendulum lunches a ball and a bob

Question

I need help with this question.... A ballistic pendulum lunches a ball and a bob to an averageheight of 12.0cm with an average spring displacement of 0.045 m. Ifthe ball's mass is 0.075 kg and the bob's mass 0.105kg, what is thespring constant of the spring gun? I need help with this question.... A ballistic pendulum lunches a ball and a bob to an averageheight of 12.0cm with an average spring displacement of 0.045 m. Ifthe ball's mass is 0.075 kg and the bob's mass 0.105kg, what is thespring constant of the spring gun?

Explanation / Answer

        E = mgh +m'gh           =(m+m')gh energy stored in the spring = kx2 / 2

so we know that

     kx2 / 2 = (m+m')gh

now ,,
we need to find the value of k
so
here putting the values we get

k = 0.18 *9.81*0.12*2/0.045*0.045

= 209.28

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