How do you find the amplitude of simple harmonic motion
Favorites|Homepage
Subscriptions | sitemap
HOME > Physics > How do you find the amplitude of simple harmonic motion

How do you find the amplitude of simple harmonic motion

[From: ] [author: ] [Date: 11-11-05] [Hit: ]
20E-2 kg bullet travelling with a speed of 570 m/s embeds itself in the block. What is the amplitude of the resulting simple harmonic motion?can anyone show me how to answer this question?-Hi,if m1 is the bullet and m2 is the blockthen v2 is 0 and v1 is given.Once you have V2,......
A 38.0 kg block at rest on a horizontal frictionless table is connected to the wall via a spring with a spring constant k=17.0 N/m. A 2.20E-2 kg bullet travelling with a speed of 570 m/s embeds itself in the block. What is the amplitude of the resulting simple harmonic motion?

can anyone show me how to answer this question?

-
Hi, me again
First find the initial velocity of the block and bullet after impact using conservation of momentum
m1v1 +m2v2 = (m1+m2)v3
if m1 is the bullet and m2 is the block then v2 is 0 and v1 is given.

Once you have V2, then we go to the energy equations
a frictionless spring system will continually oscillate between potential energy in the spring and kinetic energy of motion
KE = 1/2 mv^2
KE = 1/2 kx^2
Because there is no friction, these two must be set to equal

At that point the only unknown is x and you can solve for it as it is equal to the amplitude of vibration.

-
I get initial block velocity at v = 0.33 m/s
plugging into the energy equations
I get x= 0.493 m

Report Abuse

1
keywords: of,find,simple,you,How,do,harmonic,motion,amplitude,the,How do you find the amplitude of simple harmonic motion
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .