6.8 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?

 

(c) What are the answers to (a) and (b) for an inelastic collision?

 

(d) If the potential energy of two billiard balls depends only on the separation distance between their centers, is the collision elastic or inelastic?

 

(Note, we are talking here of potential energy corresponding to the force during collision, not gravitational potential energy).

2 Views|Posted 9 months ago
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9 months ago

6.8 (a) In elastic collision, the initial and final kinetic energy is equal. When the two balls collide, there is no conservation of kinetic energy; it gets converted into potential energy.

 

(b) The total linear momentum is conserved in an elastic collision.

 

(c) In case of inelastic condition in c

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This is a multiple choice answer as classified in NCERT Exemplar

(c) m =150g =3/20kg

Time of contact =0.001s

U=126km/h= 126 × 1000 60 × 60 = 35 m s

V= -35m/s

Change in momentum of the ball = m (v-u)= 3 20 - 35 - 35 k g m / s

=21/2

F= dp/dt=- 21 / 2 0.001 N = - 1.05 × 10 4 N

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physics ncert solutions class 11th 2023

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