sure the speed of a ked to design an unet as part of you. ew job in the military sector. You decide you will use your knowledge of springs, conservation of omentum and energy to design your experiment. You decide to hang a spring with constant k ertically and attach a block of mass M to the end of the spring. The bullet of mass m is then fired ertically upward into the wooden block where it embeds into the block. You will measure the stance d that the spring is compressed and use this to find the initial speed of the bullet. A. Place the origin of your coordinate system on equilibrium position of the unstretched spring. Draw a before and after diagram of the bullet-spring system. Be sure to label any speeds, changes in length of the spring, and important information about the problem. Label the unknown bullet's speed VB. Label the unknown speed of the bullet + block system after the bullet embeds vo.
sure the speed of a ked to design an unet as part of you. ew job in the military sector. You decide you will use your knowledge of springs, conservation of omentum and energy to design your experiment. You decide to hang a spring with constant k ertically and attach a block of mass M to the end of the spring. The bullet of mass m is then fired ertically upward into the wooden block where it embeds into the block. You will measure the stance d that the spring is compressed and use this to find the initial speed of the bullet. A. Place the origin of your coordinate system on equilibrium position of the unstretched spring. Draw a before and after diagram of the bullet-spring system. Be sure to label any speeds, changes in length of the spring, and important information about the problem. Label the unknown bullet's speed VB. Label the unknown speed of the bullet + block system after the bullet embeds vo.
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Transcribed Image Text:You have been asked to design an experiment to measure the speed of a fired bullet as part of your
new job in the military sector. You decide you will use your knowledge of springs, conservation of
momentum and energy to design your experiment. You decide to hang a spring with constant k
vertically and attach a block of mass M to the end of the spring. The bullet of mass m is then fired
vertically upward into the wooden block where it embeds into the block. You will measure the
distance d that the spring is compressed and use this to find the initial speed of the bullet.
A. Place the origin of your coordinate system on equilibrium position of the unstretched spring.
Draw a before and after diagram of the bullet-spring system. Be sure to label any speeds,
changes in length of the spring, and important information about the problem. Label the
unknown bullet's speed VB. Label the unknown speed of the bullet + block system after the
bullet embeds vo.
B. Determine the symbolic energy conservation equation for the system when the bullet is just
embedded in the block and later when the spring is at its maximum compression.
C. Determine the momentum conservation equation for the bullet-block system. Find the
speed vo of the bullet-block system just after the bullet embeds in the block in terms of the
masses m and M of the bullet and block and the unknown speed of the bullet VB.
D. Using your equations from part B and C, determine the initial speed VB of the bullet. Your
expression should only be in terms of the given variables in the problem statement and the
acceleration due to gravity: m, M, k, d and g.
E. Asses the validity of your expression using at least two sense-making techniques we have
learned in class.
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