Yes. Momentum is soley based on mass
No, the momentum of the cars would not be the same. Momentum is proportional to both mass and velocity, so if two cars are moving at the same speed but have different engine capacities (implying different masses), then their momenta will also be different.
No, since it's a vector quantity and has direction. The two automobiles will have the same absolute value, but will be the negation of one another, for example 50 and -50.
... different. Kinetic energy is proportional to the square of the speed, wherease momentum is proportional to the speed.
Momentum is a vector and so obeys the laws of vector addition. These imply that the momentum of two two objects will be the sum of the individual momentum only if the objects are moving in the same direction.
Momentum is a vector. This means it has magnitude and direction. The magnitude will be the same. But the sign will be different. If north is positive, south will be negative. This is the only difference.
The bus has more momentum. Momentum is velocity times mass, if both vehicles are travelling at the same speed then they have the same velocity, but the bus full of people will have more mass. Therefore the mass component of the bus in the equation will be higher than that of the car, giving a higher overall momentum.
By traveling at the same speed. Kinetic energy is a completely different story, however.
No, the car and the train would not have the same momentum. Momentum is mass times velocity, so even if they are traveling at the same speed, the train would typically have a much larger mass than the car, meaning that their momentums would be different.
Different. Momentum is velocity * mass.
When the mass of a moving object is doubled and its speed remains the same, its momentum also doubles. Momentum is directly proportional to mass, so doubling the mass will result in a doubling of the momentum regardless of the speed.
Speed directly affects momentum. Momentum is the product of an object's mass and its velocity, so the faster an object is moving, the higher its momentum will be. This means that an object moving at a higher speed will have greater momentum compared to the same object moving at a lower speed.
Not always, but they do have the same momentum when the product of the mass and speed of each is the same number. So a larger mass can have the same momentum as a smaller mass if it's moving faster. Simple example: A rifle bullet can knock a large animal down.