You have been asked to design a \"ballistic spring system\" to measure the speed

Question

You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass m is fired vertically upward into the bottom of the block. The spring's maximum compression d is measured. ***PART B: What was the speed of a .015-kg bullet if the block's mass is 2.3 kg and if the spring, with k = 60 N/m, was compressed by .44 m ? Express your answer using two significant figures. *********picture with equation to use to solve this problem:http://session.masteringphysics.com/render?expr=sqrt{2+left(rac{m+M}{m} ight)^{2}+g+d-rac{rac{m+M}{m^{2}}+M^{2}+g^{2}}{k}+rac{k+left(m+M ight)}{m^{2}}+left(d-rac{M+g}{k} ight)^{2}}

Explanation / Answer

applying conservation of energy for block and spring

2.3*9.81*0.44+1/2*60*0.44^2=1/2*2.3*v^2

v=3.69 m/s

and by conservation oof momentum of bullet an dblock

3.69*2.3=0.015*v

v=567.19 m/s ans

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