For a two `-` body sstem in absence of external forces, the kinetic energy as measured from ground frame is `K_(0)` and from centre of mass frame is `K_(cm)`. Pick up the wrong statement.

Identify the correct statement. In the absence of external force, (a) the kinetic energy associated with the motion of centre of mass is conserved (b) centre of mass is not accelerated (c ) the centre of mass always move in curved line (d) centre of mass must be at rest

A body is orbiting very close to the earth surface kinetic energy K.E. The energy required to completely escape from it is

A body is orbiting very close to the earth surface kinetic energy K.E. The energy required to completely escape from it is

Two particles having masses m_(1) and m_(2) are moving with velocities vec(V)_(1) and vec(V)_(2) respectively. vec(V)_(0) is velocity of centre of mass of the system. (a) Prove that the kinetic energy of the system in a reference frame attached to the centre of mass of the system is KE_(cm) = (1)/(2)mu V_(rel)^(2) . Where mu=(m_(1)m_(2))/(m_(1)+m_(2)) and V_(rel) is the relative speed of the two particles. (b) Prove that the kinetic energy of the system in ground frame is given by KE=KE_(cm)+(1)/(2)(m_(1)+m_(2))V_(0)^(2) (c) If the two particles collide head on find the minimum kinetic energy that the system has during collision.

Statement I: In a two-body collision, the momenta of the particles are equal and opposite to one another, before as well as after the collision when measured in the centre of mass frame. Statement. II: The momentum of the system is zero from the centre of mass frame.

Statement I: In a two-body collision, the momenta of the particles are equal and opposite to one another, before as well as after the collision when measured in the centre of mass frame. Statement. II: The momentum of the system is zero from the centre of mass frame.

Statement I: In a two-body collision, the momenta of the particles are equal and opposite to one another, before as well as after the collision when measured in the centre of mass frame. Statement. II: The momentum of the system is zero from the centre of mass frame.