One particle, of mass m , moves with a speed v in the x-direction, and another particle, of mass 2 m , moves with a speed v/2 in the y-direction. what is the velocity of the center of mass of these two particles?

Given :

One particle, of mass m , moves with a speed v in the x-direction, and another particle, of mass 2 m , moves with a speed v/2 in the y-direction.

To Find :

The velocity of the center of mass of these two particles.

Solution :

Speed of mass m, .

Speed of mass 2m , .

Speed of center of mass is given by :

Hence, this is the required solution.

the second one and the forth one are in the purple because they are opinions and the rest are in the yellow

explanation:

the part of the wave he is travelling on is the crest