A massless spring (with force constant k = 194 N/m) connects a wall and a DIOCK of wood. The system is initially at rest, with the spring unstretched. The block has mass M= 59 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 8.5 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 = 0.86 m. m M Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement. √k(M+m) ✓ Correct! Part (b) In meters per second, what is the speed of the bullet v before it enters the block? v 11.58 X Attempts Remain 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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Chapter1: Units, Trigonometry. And Vectors
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A massless spring (with force constant k = 194 N/m) connects a wall and a
DIOCK of wood. The system is initially at rest, with the spring unstretched. The block has mass M=
59 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m =
8.5 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 = 0.86 m.
m
M
Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement.
√k(M + m)
✓ Correct!
Part (b) In meters per second, what is the speed of the bullet v before it enters the block?
X Attempts Remain
Part (c) What is the frequency f(in Hz) of the resulting periodic motion of the block/bullet and spring system?
d
v=
v = 11.58
Transcribed Image Text:A massless spring (with force constant k = 194 N/m) connects a wall and a DIOCK of wood. The system is initially at rest, with the spring unstretched. The block has mass M= 59 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 8.5 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 = 0.86 m. m M Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement. √k(M + m) ✓ Correct! Part (b) In meters per second, what is the speed of the bullet v before it enters the block? X Attempts Remain Part (c) What is the frequency f(in Hz) of the resulting periodic motion of the block/bullet and spring system? d v= v = 11.58
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