A body A of mass m = 0.1kg has an initial velocity of 3 ^ i m s ^ -...

Using the principle of conservation of linear momentum

0 . 1 \times 3\overset{^}{i} + 0 . 1 \times 5\overset{^}{j} = 0 . 1 \times 4\left(\overset{^}{i} + \overset{^}{j}\right) + 0 . 1 \times \overset{\to}{v}

\overset{\to}{v} = \left(- \overset{^}{i} + \overset{^}{j}\right)m{s}^{- 1}

$v = \left|\overset{\to}{v}\right| = \sqrt{2}m{s}^{- 1}$

${K}_{B} = \dfrac{1}{2} \times 0 . 1 \times {v}^{2} = \dfrac{1}{10}J$

$x = 1$