A cart glides without friction along a straight track at when it suddenly explodes…

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

4.0\,\text{kg}

cart glides without friction along a straight track at

3.0\,\text{m}\!/\!\text{s}

when it suddenly explodes into two fragments. One fragment of mass

1.0\,\text{kg}

is measured to move backward (opposite the cart’s original direction) at

5.0\,\text{m}\!/\!\text{s}

immediately after the explosion. What is the speed of the

3.0\,\text{kg}

fragment just after the explosion? (a)

4.7\,\text{m}\! /\! \text{s}

in the cart’s original direction (b)

1.7\,\text{m}\! /\! \text{s}

opposite the cart’s original direction (c)

4.0\,\text{m}\! /\! \text{s}

in the cart’s original direction (d)

5.7\,\text{m}\! /\! \text{s}

in the cart’s original direction