A7.0 kg mess kit sliding on a frictionless surface explodes into two 3.5 kg parts, one moving at 5.5 m/s, due north, and the other at 7.5 m/s, 30° north of east. what was the original speed of the mess kit? m/s

The original speed of the mess kit is 5.65 m/s.

Explanation:

Given that,

Mass of kit =7.0 kg

Mass of first = 3.5 kg

Speed= 5.5 m/s

Speed of other particle part = 7.5 m/s

Angle = 30°

We need to calculate the momentum of first part

Using formula of momentum

Put the value into the formula

We need to calculate the momentum of second part

Using formula of momentum

We need to calculate the total momentum

We need to calculate the original speed of the mess kit

Using formula of momentum

Put the value into the formula

Hence, The original speed of the mess kit is 5.65 m/s.