Two identical blocks, A and B, are on a horizontal surface, as shown above. There is negligible friction between the surface and
the blocks. As shown in Figure 1, block A is initially moving toward block B with speed vA=v0 and block B is initially at rest. Figure 2 shows the blocks in contact as they collide a short time later. In both figures, the location of the center of mass of the two-block system is indicated by the X that is labeled CM. During the time that the blocks are in contact, describe whether the center of mass of the two-block system is speeding up, slowing down, or staying the same. ____ Speeding up ____ Slowing down ____ Staying the same Briefly describe, in terms of a basic law of physics, whether the center of mass of the two-block system is speeding up,
In a system with no energy loss, momentum is conserved if the mass remains constant. The system described has no change in mass, and energy loss is considered negligible. Hence the product of the total mass and the velocity of its center will be a constant. The center of mass stays the same speed.
In a uniform circular motion, the magnitude of the speed does not change during the travel and only the instantaneous direction changes.
This speed is always directed along the tangent to the circle at a given point. (refer to the figure attached)
For any circular motion, the must-have acceleration is the centripetal acceleration that is directed towards the centre of the circular locus (if the motion has a tangential acceleration, it has a tangential acceleration additionally).
Therefore, both the directions of the tangential speed and the centripetal acceleration are orthogonal to each other (perpendicular: one is 90 degrees apart from the other).
In mathematics, 2 vectors ( , ) that are perpendicular to each other have a quality that their dot product () equal to zero vector () which is written as .
This quality can be considered when dealing with the velocity vector and the acceleration vector in a manner .