a uniform sphere of mass 200 gram rolls without slipping on a plane surface so that its centre moves at a speed of 2.00 metre per second find its kinetic energy
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3
As the sphere rolls without slipping on the plane surface, its angular speed about the centre is = ω=
r
V
cm
The kinetic energy is
K=
2
1
I
cm
ω
2
+
2
1
Mv
cm
2
=
2
1
5
2
mr
2
ω
2
+
2
1
Mv
cm
2
=
5
1
MV
cm
2
+
2
1
Mv
cm
2
=
10
7
MV
cm
2
=
10
7
(0.200kg)(0.02m/s)
2
=5.6×10
−5
J
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