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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)?

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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 Part 1 and 2 [English] Class 11
पाठ 5 Work, Energy and Power
EXERCISES | Q 5.8 (a) | पृष्ठ ८९

संबंधित प्रश्‍न

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

In an elastic collision of two bodies, the momentum and energy of each body is conserved.


A trolley of mass 200 kg moves with a uniform speed of 36 km/h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of 4 m s–1 relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?


Answer the following question.

Obtain its value for an elastic collision and a perfectly inelastic collision.


Define the following:

Coefficient of restitution


In Rutherford experiment, for head-on collision of a-particles with a gold nucleus, the impact parameter is ______.


A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 m/s, The kinetic energy of mass 6 kg is ____________.


In inelastic collision, ____________.


A wooden block of mass 'M' moves with velocity 'v ' and collides with another block of mass '4M' which is at rest. After collision, the block of mass 'M' comes to rest. The coefficient of restitution will be ______.


A body of mas 'm' moving with speed 3 m/s collides with a body of mass '2m' at rest. The coalesced mass will start to move with a speed of ______.


A smooth sphere of mass 'M' moving with velocity 'u' directly collides elastically with another sphere of mass 'm' at rest. After collision, their final velocities are V' and V respectively. The value of V is given by ______.


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


A cricket ball of mass 150 g moving with a speed of 126 km/h hits at the middle of the bat, held firmly at its position by the batsman. The ball moves straight back to the bowler after hitting the bat. Assuming that collision between ball and bat is completely elastic and the two remain in contact for 0.001s, the force that the batsman had to apply to hold the bat firmly at its place would be ______.


Two blocks M1 and M2 having equal mass are free to move on a horizontal frictionless surface. M2 is attached to a massless spring as shown in figure. Iniially M2 is at rest and M1 is moving toward M2 with speed v and collides head-on with M2.

  1. While spring is fully compressed all the KE of M1 is stored as PE of spring.
  2. While spring is fully compressed the system momentum is not conserved, though final momentum is equal to initial momentum.
  3. If spring is massless, the final state of the M1 is state of rest.
  4. If the surface on which blocks are moving has friction, then collision cannot be elastic.

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°.


The bob A of a pendulum released from horizontal to the vertical hits another bob B of the same mass at rest on a table as shown in figure.


If the length of the pendulum is 1 m, calculate

  1. the height to which bob A will rise after collision.
  2. the speed with which bob B starts moving. Neglect the size of the bobs and assume the collision to be elastic.

A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass 'm' travelling along the surface hits at one end of the rod with velocity 'u' in a direction perpendicular to the rod. The collision is completely elastic. After collision, particle comes to rest. The ratio of masses `(m/M)` is `1/x`. The value of 'x' will be ______.


A particle of mass m with an initial velocity u`hat"i"` collides perfectly elastically with a mass 3m at rest. It moves with a velocity v`hat"j"` after collision, then, v is given by :


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