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 (a) vertically downwards (b) along the original parabolic path (c) vertically upwards and then vertically downwards (d) horizontally followed by parabolic path

Name: Problem 10, Chapter 7: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-09-27T14:25:29-08:00
Duration: 2 min 41 s
Channel: Dheeraj Sharma
Description: 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 (a) vertically downwards (b) along the original parabolic path (c) vertically upwards and then vertically downwards (d) horizontally followed by parabolic path

   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
(a) vertically downwards
(b) along the original parabolic path
(c) vertically upwards and then vertically downwards
(d) horizontally followed by parabolic path

Objective NCERT at your FINGERTIPS: Physics

NCERT 11th Edition

Chapter 7, Problem 10

Instant Answer

Solved by Expert Dheeraj Sharma

09/27/2021

Step 1

In this case, the external force is the gravitational force, which is $mg$, so the acceleration is $a = \frac{mg}{m} = g$. Show more…

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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 (a) vertically downwards (b) along the original parabolic path (c) vertically upwards and then vertically downwards (d) horizontally followed by parabolic path

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Key Concepts

Conservation of Momentum

The conservation of momentum principle states that in the absence of external forces, the total momentum of a system remains constant. This principle implies that even if an object explodes, the center of mass will continue along the trajectory prescribed by its momentum before the explosion.

Projectile Motion

Projectile motion describes the trajectory of an object under the influence of gravity, typically following a parabolic path. This motion is independent of any internal disturbances as long as only gravitational force acts on the system externally.

Center of Mass

The center of mass of a system is the weighted average position of all the mass in the system. In the context of projectile motion and explosions, regardless of the internal changes, the center of mass continues its original motion unless acted upon by an external force.

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