Mastering Physics Linear Momentum

What is the x coordinate xcm of the center of mass of the system described in Part D?

(1/3)L

For the system of particles described in Part B, find the x coordinate xcm of the center of mass. Assume that the particle of mass M is at the origin and the positive x axis is directed to the right.

(4/3)L

Let two particles of equal mass m collide. Particle 1 has initial velocity v, directed to the right, and particle 2 is initially stationary.Now suppose that the collision is perfectly inelastic. What are the velocities v1 and v2 of the two particles after the collision?

(v/2), (V/2)

Now assume that the mass of particle 1 is 2m, while the mass of particle 2 remains m. If the collision is elastic, what are the final velocities v1 and v2 of particles 1 and 2?

(v/3), (4v/3)

Let the mass of particle 1 be m and the mass of particle 2 be 3m. If the collision is perfectly inelastic, what are the velocities of the two particles after the collision?

(v/4),(v/4)

Let two particles of equal mass m collide. Particle 1 has initial velocity v, directed to the right, and particle 2 is initially stationary. If the collision is elastic, what are the final velocities v1 and v2 of particles 1 and 2?

0,V

Find the y coordinate of the center of mass of the system of particles described in the previous part.

0.40

Find the x coordinate xcm of the center of mass of the system of particles shown in the figure.

0.56

Let us now consider a two-dimensional case. The system includes three particles of equal mass M located at the vertices of an isosceles triangle as shown in the figure. Which arrow best shows the location of the center of mass of the system? Do not calculate.

4

A system of four buckets forms a square as shown in the figure. Initially, the buckets have different masses (it is not known how these masses are related). A student begins to add water gradually to the bucket located at the origin. As a result, what happens to the coordinates of the center of mass of the system of buckets?

The x coordinate decreases; the y coordinate decreases.

For the system of three particles shown, which have masses M, 2M, and 3M as indicated, where is the center of mass located?

between the particle of mass 2M and the particle of mass 3M

Two particles of masses m1 and m2 (m1<m2) are located 10 meters apart. Where is the center of mass of the system located?

more than 5 meters but less than 10 meters from the particle of mass m1