In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls (i.e., when they are in contact)?

Kinetic energy

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Total linear momentum

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Momentum

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None

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Solution

The correct option is B Total linear momentum
Let Initial LInear Momentum $P_{i} = m_{1} v_{1} + m_{2} v_{2}$
and final LInear Momentum $P_{f} = m_{1} v_{3} + m_{2} v_{4}$
Then $P_{i} = P_{f}$
$m_{1} v_{1} + m_{2} v_{2} = m_{1} v_{3} + m_{2} v_{4}$
Hence, Total linear momentum remains conserved during elastic collision of balls.

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Similar questions

Answer carefully, with reasons :

(a) In an elastic collision of two billiard balls, is the total kinetic energy conserved during the short time of collision of the balls (i.e. when they are in contact) ?

(b) Is the total linear momentum conserved during the short time of an elastic collision of two balls ?

(d) If the potential energy of two billiard balls depends only on the separation distance between their centres, is the collision elastic or inelastic? (Note, we are talking here of potential energy corresponding to the force during collision, not gravitational potential energy).

Answer carefully, with reasons:

(a) In an elastic collision of two billiard balls, is the total kinetic energy conserved during the short time of collision of the balls (i.e. when they are in contact)?

(b) Is the total linear momentum conserved during the short time of an elastic collision of two balls?

Q. Assertion: In an elastic collision of two billiard balls, the total kinetic energy is conserved during the short time of oscillation of the balls (i.e., when they are in contact).
Reason: Energy spent against friction does not follow the law of conservation of energy.

Q. Identify which of the following quantities remain conserved during an elastic collision?

Q. During elastic collision which of the following things happens ?
a) The colliding bodies experience large force during small interval of time
b) The colliding bodies need not touch each other
c) The kinetic energy remain conserved
d) The linear momentum remain conserved

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In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls (i.e., when they are in contact)?

The correct option is B Total linear momentumLet Initial LInear Momentum Pi=m1v1+m2v2and final LInear Momentum Pf=m1v3+m2v4Then Pi=Pfm1v1+m2v2=m1v3+m2v4Hence, Total linear momentum remains conserved during elastic collision of balls.