A cart rolling due east at breaks into two pieces when a small explosive charge detonates

PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

4.0\,\text{kg}

cart rolling due east at

3.0\,\text{m/s}

breaks into two pieces when a small explosive charge detonates. A

1.0\,\text{kg}

piece flies off at

4.0\,\text{m/s}

60^{\circ}

north of east. The other piece has mass

3.0\,\text{kg}

. Calculate the speed of the

3.0\,\text{kg}

piece immediately after the explosion.