Calculate Velocity of 20g Bullet Striking 15kg Mass on Spring

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To calculate the velocity of a 20g bullet striking a 15kg mass attached to a spring, the conservation of momentum is key, while energy is only conserved after the bullet embeds in the block. The spring constant is given as k=200 N/m, and the spring compresses by 12 cm. The final energy stored in the spring can be calculated using the formula for spring potential energy, which is essential for determining the initial velocity of the bullet. The initial calculations yield a velocity of approximately 10.89 m/s, but verification of computations is necessary to ensure accuracy. The bullet remains embedded in the block after the collision, impacting the energy transfer dynamics.
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Homework Statement


A 20 gram bullet strikes a 15 kg mass attached to a spring. The mass slides and compresses the spring by 12 cm. Calculate the velocity of the bullet initially. (No Friction!)

k=200n/m


bullet mass spring
=D I---------I II
I ICCCCCCCCCII
____I________I__________II

sorry after i posted it i realized how messed up the pic was
 
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Hint: Momentum is always conservedsecret hint: Energy is not conserved, until after the bullet is embedded in the block.
 
does my answer of 10.88995 m/s seem correct?
 
Not what I got, and it isn't simply off by an order of 10^n it just seems wrong. Check your computations, make sure you used the correct formula for Ke of a spring. and one more hint, work the problem backwards. Find the Energy at the end and work back until the point of the initial block's velocity, and then yaddi yaddi yadda.
 
does the bullet stay in the block?
 
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