The kinetic energy of a moving mass, the gravitational potential energy of a stretched spring, and the gravitational potential energy of mass raised a distance above some zero height. KE = U = }kx? U = mgh y. Yo: V1, me, and m; , the same as before. Choose the zero gravitational potential energy for each mass to be at the position it is at when the spring is unstretched(when y=0) 2mg y = k 2m,g %3! k • - ky ky,-m;g a Given these equations, write an expression for the total potential energy of the system when the spring is stretched an amount y.
The kinetic energy of a moving mass, the gravitational potential energy of a stretched spring, and the gravitational potential energy of mass raised a distance above some zero height. KE = U = }kx? U = mgh y. Yo: V1, me, and m; , the same as before. Choose the zero gravitational potential energy for each mass to be at the position it is at when the spring is unstretched(when y=0) 2mg y = k 2m,g %3! k • - ky ky,-m;g a Given these equations, write an expression for the total potential energy of the system when the spring is stretched an amount y.
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Transcribed Image Text:The kinetic energy of a moving mass, the gravitational potential energy of a stretched spring, and the
gravitational potential energy of mass raised a distance above some zero height.
KE
=
U = }kx?
U = mgh
y. Yo: V1, me, and m; , the same as before. Choose the zero gravitational potential energy for each
mass to be at the position it is at when the spring is unstretched(when y=0)
2mg
y =
k
2m,g
%3!
k
• - ky
ky,-m;g
a
Given these equations, write an expression for the total potential energy of the system when the spring
is stretched an amount y.
Transcribed Image Text:k
m.
force
(reads zero
| sensor at equilibrium)
position of mass
when spring is
unstretched
position of cart Yo
when spring is
equilibrium
position
of cart
ym
unstretched
current Yo
position
of mass
current
position
of cart
equilibrium
position
nf mass
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