A particle of rest mass `m_(0)` moves with a spess `c//2` . Calculate its
(i) mass (ii) momentum (iii) total energy (iv)K.E.

Explanation

To solve the problem step by step, we will calculate the mass, momentum, total energy, and kinetic energy of a particle with rest mass \( m_0 \) moving at a speed of \( \frac{c}{2} \).

### Step 1: Calculate the Mass
The relativistic mass \( m \) of a particle moving at a velocity \( v \) is given by the formula:

\[ m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}} \]
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