An 800g cat travels to the left at 8 m/s and a 1000g dog travels to the right at 4 m/s . the total momentum is

The total momentum of the cat and the dog is, p = 2.4 kg m/s

Explanation:

Given,

The mass of the cat, m = 800 g

                                       = 0.800 kg

The mass of the dog, M = 1000 g

                                         = 1 kg

The velocity of the cat taken positive x direction, v = 8 m/s

The velocity of the dog, V = - 4 m/s

The momentum of the body is defined as the product of its mass and velocity.

                                      p = mv

The momentum of the cat,

                                      p₁ = 0.8 x 8

                                          = 6.4 kg m/s

The momentum of the dog,

                                       p₂ = MV

                                            = 1 x -4

                                            = -4 kg m/s

The total momentum,

                                      p = p₁ + p₂

                                          = 6.4 + (-4)

                                          = 2.4 kg m/s

Hence, the total momentum of the cat and the dog is, p = 2.4 kg m/s