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FAQs on DC Pandey Solutions (JEE Advance): Centre of Mass, Conservation of Linear Momentum - DC Pandey Solutions for JEE Physics

1. What is the concept of Centre of Mass?
Ans. The concept of Centre of Mass is used to describe the average position of the mass of an object or a system of objects. It is the point at which the entire mass of the system can be assumed to be concentrated to make calculations simpler.
2. How can we calculate the position of the Centre of Mass?
Ans. The position of the Centre of Mass can be calculated by taking the weighted average of the positions of all the individual masses in the system. The formula for calculating the position of the Centre of Mass is: x_cm = (m1x1 + m2x2 + m3x3 + ... + mnxn) / (m1 + m2 + m3 + ... + mn) where x_cm is the position of the Centre of Mass, m1, m2, m3, ..., mn are the masses of individual objects, and x1, x2, x3, ..., xn are their respective positions.
3. What is Conservation of Linear Momentum?
Ans. Conservation of Linear Momentum states that in a closed system where no external forces are acting, the total momentum of the system remains constant. This means that the initial momentum of the system before any interaction is equal to the final momentum of the system after the interaction.
4. How is Conservation of Linear Momentum applied in real-life scenarios?
Ans. Conservation of Linear Momentum finds its applications in various real-life scenarios. For example, in a collision between two objects, the total momentum before the collision is equal to the total momentum after the collision. This principle is used in designing safety features like airbags in cars to protect passengers during accidents.
5. Can Centre of Mass and Conservation of Linear Momentum be applied to systems with variable masses?
Ans. Yes, Centre of Mass and Conservation of Linear Momentum can be applied to systems with variable masses. In such cases, the positions of individual masses and their respective masses need to be considered while calculating the Centre of Mass. Similarly, the total momentum of the system can still be conserved even if the masses change during the interaction, as long as there are no external forces acting on the system.
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