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Answer carefully, with reason: 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)? - Physics

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प्रश्न

Answer carefully, with reason:

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)?

थोडक्यात उत्तर
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उत्तर

During a collision, when balls are in contact, the kinetic energy of the balls is transformed into potential energy. The kinetic energy remains the same before and after the collision. Therefore, in the described elastic collision, the total kinetic energy is not conserved.

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पाठ 5: Work, Energy and Power - EXERCISES [पृष्ठ ८९]

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एनसीईआरटी Physics [English] Class 11
पाठ 5 Work, Energy and Power
EXERCISES | Q 5.8 (a) | पृष्ठ ८९

संबंधित प्रश्‍न

The rate of change of total momentum of a many-particle system is proportional to the ______ on the system.


State if the following statement is true or false. Give a reason for your answer.

In an inelastic collision, the final kinetic energy is always less than the initial kinetic energy of the system.


Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed V. If the collision is elastic, which of the following figure is a possible result after collision?


Consider the decay of a free neutron at rest : n → p + e

Show that the two-body decay of this type must necessarily give an electron of fixed energy and, therefore, cannot account for the observed continuous energy distribution in the β-decay of a neutron or a nucleus

 


Answer the following question.

A bullet of mass m1 travelling with a velocity u strikes a stationary wooden block of mass m2 and gets embedded into it. Determine the expression for loss in the kinetic energy of the system. Is this violating the principle of conservation of energy? If not, how can you account for this loss?


Solve the following problem.

A ball of mass 100 g dropped on the ground from 5 m bounces repeatedly. During every bounce, 64% of the potential energy is converted into kinetic energy. Calculate the following:

  1. Coefficient of restitution.
  2. The speed with which the ball comes up from the ground after the third bounce.
  3. The impulse was given by the ball to the ground during this bounce.
  4. Average force exerted by the ground if this impact lasts for 250 ms.
  5. The average pressure exerted by the ball on the ground during this impact if the contact area of the ball is 0.5 cm2.

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During inelastic collision between two bodies, which of the following quantities always remain conserved?


Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed V as shown in figure.

If the collision is elastic, which of the following (Figure) is a possible result after collision?


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).

  1. Kinetic energy.
  2. Total linear momentum?

Give reason for your answer in each case.


A ball of mass m, moving with a speed 2v0, collides inelastically (e > 0) with an identical ball at rest. Show that for head-on collision, both the balls move forward.


A ball of mass m, moving with a speed 2v0, collides inelastically (e > 0) with an identical ball at rest. Show that for a general collision, the angle between the two velocities of scattered balls is less than 90°.


Consider a one-dimensional motion of a particle with total energy E. There are four regions A, B, C and D in which the relation between potential energy V, kinetic energy (K) and total energy E is as given below:

Region A : V > E
Region B : V < E
Region C : K > E
Region D : V > K

State with reason in each case whether a particle can be found in the given region or not.


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  1. Describe the motion of two bobs.
  2. Draw a graph showing variation in energy of either pendulum with time, for 0 ≤ t ≤ 2T, where T is the period of each pendulum.

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