A body moving with a velocity v, breaks up into two equal parts. One of the parts retraces back with velocity v, Then the velocity of the other part is
Velocity is a vector quantity that describes the rate of change of an object’s position with respect to time. It has both magnitude and direction, indicating how fast an object is moving and in which direction. Velocity is essential in understanding motion and is crucial for various applications in physics and engineering.
Class 11 Physics, Chapter 5, focuses on the concepts of work, energy and power, which are fundamental to understanding mechanics. The chapter covers the definitions of work and energy, their different forms and the principle of conservation of energy. It also explores the relationship between work and energy, including the calculation of work done by forces. Power is defined as the rate of doing work, with examples illustrating its applications in real-world scenarios. This chapter is essential for grasping advanced physics principles.
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When a body breaks into two equal parts and is moving at some velocity, then its behavior may be analyzed using the principle of conservation of momentum. First, the whole body has some momentum because of the mass and the velocity of that body. The part, while breaking, travels backward with the same speed of the original velocity of the body.
In this case, if one part traces its trajectory with the same speed, we must calculate the velocity of the second part. Since momentum is conserved everywhere, the total momentum before and after the break will be the same.
In that case, one part moving in the opposite direction with the same speed gives a negative contribution to the total momentum of the system. The other portion must make up for this alteration in order to ensure that the sum of the momentums remains unchanged. By the law of conservation of momentum, it is apparent that the second portion has to move in the forward direction at a greater velocity. More precisely, its velocity will be three times the original velocity of the body before it broke up. This shows how motion and the conservation principles are interrelated in physics. Finally, the second part of the body moves with a velocity three times greater than that of the original body.
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