A ball kept in a closed box moves in the box making collisions with t...
Since no external force is present on the system. So, the centre of mass of the system will not be changed. Hence, the center of mass of the box plus the ball system remains constant.
A ball kept in a closed box moves in the box making collisions with t...
Explanation:
When a ball is kept in a closed box, it moves inside the box and collides with the walls. The box is kept on a smooth surface, which means there is no external force acting on the system. In such a scenario, the conservation of momentum can be applied.
Conservation of Momentum:
The law of conservation of momentum states that the total momentum of an isolated system remains constant if no external forces act on it.
In this case, the system consists of the box and the ball. The only forces acting on the system are the internal forces between the ball and the walls of the box. These internal forces do not affect the total momentum of the system because they cancel out each other.
Centre of Mass:
The centre of mass of a system is the point at which the entire mass of the system can be considered to be concentrated.
Now, let's analyze the given options:
a) The centre of mass of the box remains constant:
The box itself does not move or experience any external forces, so its centre of mass remains constant. However, the motion of the ball inside the box does affect the overall motion of the system.
b) The centre of mass of the box plus the ball system remains constant:
This is the correct option. The centre of mass of the system, which includes both the box and the ball, remains constant. The motion of the ball inside the box does not affect the overall motion of the system, as long as no external forces are acting on it.
c) The centre of mass of the ball remains constant:
The ball is moving inside the box, colliding with the walls. Therefore, the centre of mass of the ball does not remain constant.
d) The centre of mass of the ball relative to the box remains constant:
The relative position of the ball with respect to the box may change as the ball moves inside the box. Therefore, the centre of mass of the ball relative to the box does not remain constant.
Hence, the correct answer is option 'B' - The centre of mass of the box plus the ball system remains constant.
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