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?
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?
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e521a1e-f4ee-4c02-af71-8dfc2cc184d3%2F985c4600-3476-4598-b1b9-9563c28890c3%2F0v4irfa_processed.png&w=3840&q=75)
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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