Question

Three objects A, B, and C are moving as shown in the figure below (Figure 1). Assume that VA = 10.8 m/s, VB = 9.2 m/s, and vc = 2.6 m/s.

Find the x-component of the net momentum of the particles if w

Answer 1

In order to find the x-component of the net momentum of the particles, you need to calculate the momentum of each object in the x-direction and then add them up.

Step-by-step explanation:

The determination of the x-component of the net momentum for particles involves summing the individual momenta of each object in the x-direction.

For Mass A, with a velocity of 10.8 m/s in the x-direction, its x-component momentum is expressed as momentum A = mass A * velocity A = mass A * 10.8 m/s.

Similarly, Mass B, moving at 9.2 m/s in the x-direction, contributes its x-component momentum, momentum B = mass B * velocity B = mass B * 9.2 m/s.

Lastly, Mass C, with a velocity of 2.6 m/s in the x-direction, contributes its x-component momentum, momentum C = mass C * velocity C = mass C * 2.6 m/s.

The net x-component of momentum is then determined by summing the individual x-component momenta of A, B, and C: net momentum = momentum A + momentum B + momentum C.

This comprehensive approach facilitates the calculation of the collective x-component momentum for the system of particles.

Answer 2

The x-component of the net momentum of the system composed of A and C is
`\(-26 \, \text{kg} \cdot \text{m/s}\)`

How to determine the x-component of the net momentum of the system composed of A and C?

To determine the x-component of the net momentum of the system composed of A and C, we use the given information;

Given:

`\(v_A = 11.6 \, \text{m/s}\)`

`\(v_B = 9.2 \, \text{m/s}\)`

`\(v_C = 2.6 \, \text{m/s}\)`

The x-component of the net momentum of the system consisting of A and C is calculated as:

`\(m_C * v_(Cx) + m_A * v_(Ax)\)`

Substituting the given values:

`\(= 10 * (-2.60) + 5 * 0\)`

`\(= -26 \, \text{kg} \cdot \text{m/s}\)`

Therefore, the x-component of the net momentum of the system composed of A and C is
`\(-26 \, \text{kg} \cdot \text{m/s}\)`.

Complete question:

Find the component of the net momentum of the particles if we define the system to consist of A and C.

See image for missing part.