A thin hollow sphere of mass `m` is completely filled with non viscous liquid of mass `m`. When the sphere roll-on horizontal ground such that centre moves with velocity `v`, kinetic enerrgy of the system is equal to

Options

A. `mv^(2)`
B. `(4)/(3)mv^(2)`
C. `(4)/(5)mv^(2)`
D. none of these

Explanation

To find the total kinetic energy of a thin hollow sphere filled with a non-viscous liquid when it rolls on a horizontal ground with a velocity \( v \), we can follow these steps:

### Step 1: Identify the components of kinetic energy
The total kinetic energy (KE) of the system consists of two parts:
1. Translational kinetic energy of the hollow sphere and the liquid.
2. Rotational kinetic energy of the hollow sphere.

### Step 2: Write the formula for translational kinetic energy
...