Find p(t, the x component of the total momentum of the system at time t. express your answer in terms of m1, m2, v1(t, and v2(t.

The X-component of the momentum of the system is .

Further Explanation:

The momentum of a body is the amount of motion contained by the body. The momentum of a body is expressed as the product of the mass and velocity of the body at the particular instant.

The momentum of the body is represented as:

For a system of particles, the momentum of the whole system is the vector sum of individual momentum of all the particles.

Here,  is the net momentum of the system.

In the given question, both the particles are moving in the same direction i.e. X-direction. Therefore, the net momentum of the system in X-direction is the sum of the two momentum.

The velocity of the first particle at time  is .

The momentum of the first particle is:

The velocity of the second particle at time  is .

The momentum of the second particle is:

The X-component of the net momentum of the system is:

Thus, the X-component of the momentum of the system is .

Learn More:

1. You are riding on a roller coaster that starts from rest at a height of 25.0 m and moves down a frictionless track

2. A 700-kg car, driving at 29 m/s, hits a brick wall and rebounds with a speed of 4.5 m/s

3. A 50-kg meteorite moving at 1000 m/s strikes earth. Assume the velocity is along the line joining earth's center

Answer Details:

Grade: High School

Subject: Physics

Chapter: Force and Momentum

Keywords:

Momentum, X-component, total momentum, isolated system, velocity of the particle, v1(t), v2(t), composed of two blocks, masses m1 and m2.