Physics

Problem

A shell of mass

6\,\text{kg}

, initially at rest on a smooth horizontal plane, explodes into three fragments of masses

1\,\text{kg}

2\,\text{kg}

and

3\,\text{kg}

. The

1\,\text{kg}

fragment moves due east with a speed of

30\,\text{m\,s}^{-1}

, while the

2\,\text{kg}

fragment moves due north with a speed of

20\,\text{m\,s}^{-1}

. The speed and direction of the

3\,\text{kg}

fragment are a)

25\,\text{m\,s}^{-1}

53^{\circ}

south of west b)

16.7\,\text{m\,s}^{-1}

53^{\circ}

south of west c)

16.7\,\text{m\,s}^{-1}

53^{\circ}

north of west d)

36\,\text{m\,s}^{-1}

34^{\circ}

south of west