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FAQs on DC Pandey Solutions: Centre of Mass, Conservation of Linear Momentum- 2 - DC Pandey Solutions for NEET Physics

1. What is the concept of Centre of Mass and how is it related to linear momentum?
Ans. The concept of Centre of Mass refers to the point in a system of particles or objects where the entire mass of the system can be assumed to be concentrated. It is related to linear momentum as the linear momentum of a system remains conserved when the external net force acting on the system is zero. This means that the total linear momentum of the system before an interaction is equal to the total linear momentum of the system after the interaction, provided no external forces are acting.
2. How can the Centre of Mass of a system be calculated?
Ans. The Centre of Mass of a system can be calculated by taking the weighted average of the positions of all the particles or objects in the system, where the weight is given by their respective masses. Mathematically, it can be expressed as the sum of the products of the positions and masses of all the particles divided by the total mass of the system.
3. What is the significance of Conservation of Linear Momentum in physics?
Ans. Conservation of Linear Momentum is a fundamental principle in physics that states that the total linear momentum of an isolated system remains constant if no external forces act on it. This principle is significant as it allows us to analyze and understand various physical phenomena, such as collisions, explosions, and motion of objects, by applying the principle of conservation of momentum.
4. Can the Centre of Mass of a system lie outside the physical boundaries of the system?
Ans. Yes, the Centre of Mass of a system can lie outside the physical boundaries of the system. This can occur when the mass distribution within the system is uneven or when external forces are acting on the system. The Centre of Mass represents the average position of the mass of the system, and it is not limited to being within the physical boundaries of the system.
5. How does the conservation of momentum affect the motion of objects in a collision?
Ans. The conservation of momentum affects the motion of objects in a collision by ensuring that the total momentum before the collision is equal to the total momentum after the collision. This means that if one object gains momentum in a particular direction, another object must lose an equal amount of momentum in the opposite direction to maintain the conservation of momentum. As a result, the objects involved in a collision will experience changes in their velocities and directions of motion.
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