Question

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​

Answer 1

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

Answer 2

Answer:

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