Physics

Problem

3.0\,\text{kg}

firework shell rests on smooth ice. It explodes into three fragments. A

1.0\,\text{kg}

piece moves

6.0\,\text{m}\!\cdot\!\text{s}^{-1}

due north and a

1.2\,\text{kg}

piece moves

4.0\,\text{m}\!\cdot\!\text{s}^{-1}

due east. Determine the speed and direction of the remaining

0.8\,\text{kg}

fragment immediately after the explosion. a)

9.6\,\text{m}\!\cdot\!\text{s}^{-1}

directed

51^{\circ}

east of north b)

9.6\,\text{m}\!\cdot\!\text{s}^{-1}

directed

51^{\circ}

south of west c)

7.5\,\text{m}\!\cdot\!\text{s}^{-1}

directed

38^{\circ}

south of west d)

7.7\,\text{m}\!\cdot\!\text{s}^{-1}

directed

51^{\circ}

south of west