Answer:
Explanation:
Moment of inertia of solid sphere = 2/5 m R²
m is mass and R is radius of sphere.
Putting the values
Moment of inertia of solid sphere Iā
Moment of inertia of hollow Ā sphere Iā
Kinetic energy of solid sphere ( both linear and rotational )
= 1/2 ( m v² + Iā ϲ) Ā Ā Ā Ā Ā Ā Ā Ā [ Ļ is angular velocity of rotation ]
= 1/2 ( m v² + 2/5 m R² ϲ)
= 1/2 ( m v² + 2/5 m v²)
=1/2 x 7 / 5 m v²
= 0.7 x 5 x 4² = 56 J .
This will be equal to work to be done to stop it.
Kinetic energy of hollow sphere ( both linear and rotational )
= 1/2 ( m v² + Iā ϲ) Ā [ Ļ is angular velocity of rotation ]
= 1/2 ( m v² + 2/3 m R² ϲ)
= 1/2 ( m v² + 2/3 m v²)
=1/2 x 5 / 3 m v²
= 0.833 x 5 x 4² = 66.64 J .
This will be equal to work to be done to stop it.