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Standard VII
Physics
Kinetic Energy
13) Obtain po...
Question
13) Obtain potential energy stored in a spring of constant k.Also find out the maximum velocity experienced by a mass attached to a string.
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Solution
For
the
spring
of
spring
constant
k
,
the
force
is
given
by
,
F
=
k
x
The
amount
of
workdone
W
=
F
dx
W
=
k
x
dx
=
k
x
2
2
.
Therefore
the
potential
energy
stored
in
the
spring
U
=
W
Therefore
U
=
k
x
2
2
.
The
maximum
velocity
experienced
by
the
mass
m
is
given
by
,
1
2
m
v
2
=
1
2
k
x
2
or
v
=
k
m
x
.
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