A ball kept in a closed container moves in it making...

Name: Problem 60, Chapter 7: Guide to Physics IIT JEE
Uploaded: 2021-09-20T21:47:43-08:00
Duration: 1 min 49 s
Channel: Dharmendra Jain
Description: A ball kept in a closed container moves in it making collision with the walls. The container is kept on a smooth surface. The velocity of the centre of mass of (a) the ball remains fixed. (b) the ball relative to container remains fixed. (c) the container remains fixed. (d) both container and ball remain fixed.

A ball kept in a closed container moves in it making collision with the walls. The container is kept on a smooth surface. The velocity of the centre of mass of (a) the ball remains fixed. (b) the ball relative to container remains fixed. (c) the container remains fixed. (d) both container and ball remain fixed.

A ball kept in a closed container moves in it making collision with the walls. The container is kept on a smooth surface. The velocity of the centre of mass of
(a) the ball remains fixed.
(b) the ball relative to container remains fixed.
(c) the container remains fixed.
(d) both container and ball remain fixed.

Key Concepts

Center of Mass

The center of mass of a system is the weighted average position of all the mass in the system. It plays a crucial role in analyzing the overall motion of objects because it moves as if all the mass and external forces were concentrated at that point, regardless of the internal motions or collisions among the parts.

Conservation of Linear Momentum

In an isolated or closed system where external forces are absent or negligible, the total linear momentum remains constant. This principle explains why the direction or speed of individual components may change due to internal collisions, but the velocity of the center of mass stays constant.

Internal Forces and Collisions

Internal forces acting between objects within a system, such as collisions, can change the momentum of the individual objects but do not affect the total momentum of the system. This is because the forces are equal in magnitude and opposite in direction, resulting in zero net contribution to the overall momentum.

Frictionless Environment

A frictionless or smooth surface minimizes the impact of external forces, ensuring that there is no net horizontal force acting on the system. This condition is vital for the conservation of momentum, meaning that any changes in the motion of individual components of the system do not alter the overall motion of the center of mass.

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