Question:

When an explosive shell travelling in a parabolic path under the effect of gravity explodes in the mid air, the centre of mass of the fragments will move

Updated On: Jul 7, 2022
  • vertically downwards
  • along the original parabolic path
  • vertically upwards and then vertically downwards
  • horizontally followed by parabolic path
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The Correct Option is B

Solution and Explanation

The forces leading to the explosion are internal forces. They contribute nothing to the motion of the centre of mass. The total external force, namely the force of gravity acting on the shell is the same before and after the explosion. Therefore, the centre of mass of the fragments of the shell continues along the same parabolic-path as it would have followed, if there were no explosion as shown in figure.
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Concepts Used:

System of Particles and Rotational Motion

  1. The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
  2. The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.