
If the resultant force on a system of particles is non-zero, then


Important Questions on Center of Mass

Two small spheres of equal mass are heading towards each other with equal speeds, undergo a head-on collision (no external force acts on the system of two spheres). Then which of the following statement is correct?


Two masses and are placed in a fixed horizontal circular smooth hollow tube as shown. The mass is moving with speed and the mass is stationary. After their first collision, the time elapsed for next collision is (Coefficient of restitution is, )

A particle moves with a speed of in a frictionless circular fixed horizontal pipe of radius and strikes the particle of double the mass that of . The coefficient of restitution is and the particle starts its journey at . The time at which the second collision occurs is


Three small bodies of identical masses can move along a straight line. The central body is initially at rest and bodies and are at a distance and from the central body, respectively. Bodies and move towards body with speeds each. The collision between and is perfectly elastic and the collision between bodies and is perfectly inelastic. After all the collisions are over,

In the figure shown, a particle strikes the inclined smooth plane horizontally and rebounds vertically. If the angle is then, the coefficient of restitution is,
