Two particles of masses `1kg` and `2kg` respectively are initially `10m` aprt. At time `t=0`, they start moving towards each other with uniform speeds `2m//s` and `1m//s` respectively. Find the displacement of their centre of mass at `t=1s`.

Two particles of masses 2kg and 3kg are projected horizontally in opposite directions from the top of a tower of height 39.2m with velocities 5m//s and 10m//s respectively. The horizontal range of the centre of mass of two particles is

Two men to masses 80kg and 60kg are standing on a wood plank of mass 100kg , that has been placed over a smooth surface. If both the men start moving towards each other with speeds 1m//s and 2 m//s respectively then find the velocity of the plank by which it starts moving.

Two men to masses 80kg and 60kg are standing on a wood plank of mass 100kg , that has been placed over a smooth surface. If both the men start moving towards each other with speeds 1m//s and 2 m//s respectively then find the velocity of the plank by which it starts moving.

Two particles of masses 2 kg and 4 kg are approaching towards each other with ccelerations 1m//s^(2) and 2m//s^(2) , respectively, on a smooth horizontal suface. Then find the acceleration of centre of mass of the system and direction of acceleration of CM.

Two particles A and B masses 1 kg and 2 kg respectivelty are projected in the same vertical line as shown in figure with speeds u_(A) = 200 m//s and u_(B) = 85m//s respectively. Initially they were 90 m apart. Find the maximum height attained by the centre of mass of the system of particles A and B, from the initial position of centre of mass of the system. Assume that none of these particles collides with the ground in that duration Take g = 10 m//s^(2)

Two particles A and B of equal size but of masses m kg and 2m kg are moving directly towards each other with speeds 21 m//s and 4 m//s respectively. After collision, A moves with a speed of 1 m//s in the original direction. Then:

Two particles A and B of equal size but of masses m kg and 2 m kg are moving directly towards each other with speeds 21 m/s and 4 m/s respectively. After collision, A moves with a speed of 1 m/s in the original direction. Then:

Two particle of mass 2 kg and 1 kg are moving along the same straight line with speeds 2m//s and 5m//s respectively. What is the speed of the centre of mass of the system if both the particles are moving (a) in same direction (b) in opposite direction ?