Two dogs, Rover and Fido, run on a level frictionless surface. River runs eastward with a momentum of 24 kg . m/s, and Fido runs northward with momentum 10 kg . m/s. They make a sudden perfectly inelastic collision. What is the magnitude of their combined momentum after the collision

The magnitude of their combined momentum after the collision  is 26 kg-m/s.

Explanation:

Given that,

Two dogs, Rover and Fido, run on a level frictionless surface.

Rover runs eastward with a momentum of 24 kg-m/s and Fido runs northward with momentum 10 kg-m/s. We need to find the magnitude of their combined momentum after the inelastic collision.

For inelastic collision, momentum remains conserved. The net momentum is given by :

So, the magnitude of their combined momentum after the collision  is 26 kg-m/s. Hence, this is the required solution.

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get