What is the amplitude of the block
Favorites|Homepage
Subscriptions | sitemap
HOME > > What is the amplitude of the block

What is the amplitude of the block

[From: ] [author: ] [Date: 12-10-13] [Hit: ]
80 though I thought it was. I am not sure how to calculate it though.-The amplitude would be 6.8 if the object was simply released.But it was given extra ENERGY.then work out how far the spring will stretch when ALL this energy is in the spring.......
A 4.20kg block hangs from a spring with spring constant 2300N/m . The block is pulled down 6.80cm from the equilibrium position and given an initial velocity of 1.60m/s back toward equilibrium.

The amplitude is not 6.80 though I thought it was. I am not sure how to calculate it though.

-
The amplitude would be 6.8 if the object was simply released.
But it was given extra ENERGY.
the key is to find the total energy at the beginning ( 1/2 k x^2 + 1/2 m v^2)

then work out how far the spring will stretch when ALL this energy is in the spring.
i.e 1/2 k z^2 = 1/2 k x^2 + 1/2 m v^2
where z is the maximum amplitude.

-
kx^2 +mv^2= 2300*0.068^2+4.2*1.60^2 = 21.3872
kz^2= 21.372 so z = sqrt( 21.372/2300) = 0.964 m Just as I said it would.
The arithmetic you used is faulty.

Report Abuse


-
Note you are not using SI which is part of the problem. k = 2300N/m , x= 0.068m, m = 4.2 and v = 1.6
With these values the formula I showed you works perfectly.

Report Abuse

1
keywords: the,amplitude,What,block,is,of,What is the amplitude of the block
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .