A massless spring (with force constant k = 182 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 50.1 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 6.6 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.97 m.  Part (b)  In meters per second, what is the speed of the bullet v before it enters the block?   Part (c)  What is the frequency f (in Hz) of the resulting periodic motion of the block/bullet and spring system?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 9.89AP: A 5.00-g bullet moving with an initial speed of i = 400 m/s is fired into and passes through a...
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Problem 16:   A massless spring (with force constant k = 182 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 50.1 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 6.6 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.97 m.

 Part (b)  In meters per second, what is the speed of the bullet v before it enters the block? 

 Part (c)  What is the frequency f (in Hz) of the resulting periodic motion of the block/bullet and spring system? 

 

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