Two cars are moving on a straight road towards each other. The mass of the first car is 1.5 tons, the mass of the second

Two cars are moving on a straight road towards each other. The mass of the first car is 1.5 tons, the mass of the second car is 3 tons. The speed of the first car is twice the speed of the second. Are their impulses equal?

Given:

m1 = 1.5 tons = 1500 kilograms – the mass of the first car;

m2 = 3 tons = 3000 kilograms – the mass of the second car;

v1 = 2 * v2 – the speed of the first car is 2 times the speed of the second car.

It is required to determine whether the equality p1 = p2 is true (the momentum of the first car is equal to the momentum of the second car).

Since, according to the condition of the problem, both cars are moving towards each other, and the momentum of the body is a vector quantity, in any case, the impulses of both cars will be opposite in direction.

Let’s compare the pulse modules:

p1 = p2;

m1 * v1 = m2 * v2;

1500 * 2 * v2 = 3000 * v2;

1500 * 2 = 3000;

3000 = 3000;

1 = 1, that is, the pulse modulus is equal.

Answer: the impulses of cars are equal in magnitude, and opposite in direction.