Given two moving objects, a 50 kg person and a 10 kg dog, which statement about their scalar momenta is true, assuming the dog has the greater speed?

The concept of momentum is defined as the product of an object's mass and its velocity, expressed mathematically as ( p = m \times v ). For the person, with a mass of 50 kg, and the dog, with a mass of 10 kg, their momenta will depend on their respective velocities.

Since it is indicated that the dog has a greater speed, it is possible for the dog's momentum to exceed that of the person, provided the dog is moving significantly faster. However, without specific numerical values for their speeds, we cannot definitively determine whether the dog's momentum will be equal to, greater than, or less than the person's momentum.

Therefore, the dog may have equal momentum if the speed of the dog is appropriately adjusted to match the lower momentum of the person. It can also have greater momentum if its speed is sufficiently high compared to that of the person. Conversely, if the person is moving fast enough, they could even surpass the dog's momentum, despite the dog having a greater speed.

This illustrates the variability in momentum based on the interplay between mass and velocity, affirming that the dog's momentum could indeed be equal to, greater than, or lesser than the person's, depending on the actual speeds involved. Thus