System of Particles

What is the center of mass of a system of particles?

Two particles of masses 3 kg and 5 kg are located at points (2,0) m and (8,0) m respectively. What is the x-coordinate of the center of mass?

Which of the following quantities is conserved for a system of particles if no external force acts on it?

The total external force acting on a system of particles is zero. Which of the following statements is true?

A system consists of three particles of masses 2 kg, 3 kg, and 5 kg located at (1,0), (0,2), and (3,4) meters respectively. Find the coordinates of the center of mass.

If the total mass of a system of particles is M and the position vector of its center of mass is \( \vec{R} \), then the total momentum \( \vec{P} \) of the system is given by:

In a system of particles, internal forces:

A system of particles has total kinetic energy \( K \) and total momentum \( \vec{P} \). The kinetic energy of the system relative to its center of mass is given by:

Which of the following is NOT true about the motion of the center of mass of a system of particles?

Two particles of masses 4 kg and 6 kg are connected by a light rod 2 m long. The center of mass is located at a distance x from the 4 kg mass. Find x.