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?
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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