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Assertion: If a projectile explodes in m...

Assertion: If a projectile explodes in mid air, then no external force acts on the projectile during explosions.
Reason: Center of mass in this case follows the same path.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.

C

If Assertion is true but Reason is false.

D

If Assertion is false but Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
D
Gravity forces act during explosios.
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If a projectile explods in mid air then just before and just after explosion, choose correct option(s)

A projectile of mass mis fired with an initial velocity v_(0) at an angle 0 to the horizontal. At its highest point, it explodes into two fragments of equal mass. One of the fragments falls vertically with zero initial speed. Since the only external force acting on the system is gravitational, the motion of centre of mass of the_ system (the fragments) follows the same parabolic path as the projectile would have followed if there had been no explosion. Force of explosion is internal, it cannot change the trajectory of the system.

STATEMENT-1 : When a projectile explodes in mid air the centre of mass follows circular path after explosion. STATEMENT-2 : In an elastic collision velocities can't be interchanged it colliding bodies have different masses. STATEMENT-3 : During a perfectly elastic collision the kinetic energy of the system remains constant.

Assertion: If there are no external forces, the center of mass of a double star moves like a free particle. Reason: If we go to the center of mass frame, then we find that the two stars are moving in a circle about the center of mass, which is at rest.

Assertion: In projectile motion, the vertical velocity of the particle is continoulsy decreased during its ascending motion. Reason: In projectile motion downward constant acceleration is present in vertical direction.

Assertion: A projectile gets exploded at its highest point. All the piece get only horizontal velocities. Reason: The weight of the projectile is the external force for projectile.

Assertion: When a body dropped from a height explodes in mid air, its center of mass keeps moving in vertically downward directions. Reason: Explosion occurs under internal forces only. External force is zero.

Assertion In case of projectile motion, the magnitude of rate of change of velocity is variable. Reason In projectile motion, magnitude of velocity first decreases and then increases during the motion.

The question given below consist of an assertion and the reason . Use the following key to choose appropriate answer: Assertion : When path of one projectile is observed with respect to another projectile, then it is a straight line . Reason : Both the projectiles are moving with the same acceleration , hence acceleration of one with respect to the other is zero .

DC PANDEY-CENTRE OF MASS-Assertion and reason
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