A vertical spring with a force constant of 700 N/m is initially at equilibrium. A 10kg mass is attached to the end of the spring, causes it to elongate. What will be the maximum elongation/deformation of the spring?
solve using work-energy theorem
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OpenStudy (anonymous):
ma=1/2*kx^2
10*9.8=1/2*700*x^2
x approximately equals 0.529m
OpenStudy (dandandan):
wer did u get this -> ma=1/2*kx^2
OpenStudy (dandandan):
i mean the ma..
OpenStudy (anonymous):
ma=potential energy
OpenStudy (anonymous):
F=ma
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OpenStudy (anonymous):
a is g
OpenStudy (anonymous):
gravity
OpenStudy (dandandan):
oww.. okok, yeah, i can remember it now,, gheez thanks !! ..
OpenStudy (dandandan):
can i still ask one more??
OpenStudy (anonymous):
kk
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OpenStudy (dandandan):
A block with mass of 0.5 kg is forced against a horizontal spring of negligible mass. compressing the spring a distance of 0.20m. When released, the block moves on a horizontal tabletop for 1 meter before coming to rest. The spring constant is 100N/m. What is the coefficient of friction between the block and the tabletop?
OpenStudy (anonymous):
(mu_k)mg(delta d)=1/2*kx^2
OpenStudy (anonymous):
(mu_k)(0.5)(9.8)(1)=1/2*(100)(0.20)^2
OpenStudy (anonymous):
(mu_k)=4/9.8
OpenStudy (anonymous):
basically all the kinetic energy of the spring is converted into heat/friction
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