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The bob A of a pendulum released from 30° to the vertical hits another bob B of the same mass at rest on a table, as shown in the figure. How high does the bob A rise

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प्रश्न

The bob A of a pendulum released from 30° to the vertical hits another bob B of the same mass at rest on a table, as shown in the figure. How high does the bob A rise after the collision? Neglect the size of the bobs and assume the collision to be elastic.

संक्षेप में उत्तर
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उत्तर

When the bob A of a pendulum, released from an angle of 30° to the vertical, collides with another stationary bob B of the the same mass, the collision being elastic, their velocities are exchanged. As a result of this elastic collision, bob A will come to rest immediately after the impact, while bob B will acquire the velocity that bob A had just before the collision. Therefore, after the collision, bob A does not rise again; it remains at rest

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अध्याय 5: Work, Energy and Power - EXERCISES [पृष्ठ ९१]

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एनसीईआरटी Physics Part 1 and 2 [English] Class 11
अध्याय 5 Work, Energy and Power
EXERCISES | Q 5.17 | पृष्ठ ९१

संबंधित प्रश्न

Answer carefully, with reason:

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


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.

Discuss the following as special cases of elastic collisions and obtain their exact or approximate final velocities in terms of their initial velocities.

  1. Colliding bodies are identical.
  2. A very heavy object collides on a lighter object, initially at rest.
  3. A very light object collides on a comparatively much massive object, initially at rest.

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.

Solve the following problem.

A spring ball of mass 0.5 kg is dropped from some height. On falling freely for 10 s, it explodes into two fragments of mass ratio 1:2. The lighter fragment continues to travel downwards with a speed of 60 m/s. Calculate the kinetic energy supplied during the explosion.


Solve the following problem.

A marble of mass 2m travelling at 6 cm/s is directly followed by another marble of mass m with double speed. After a collision, the heavier one travels with the average initial speed of the two. Calculate the coefficient of restitution.


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


Two bodies of masses 3 kg and 2 kg collide bead-on. Their relative velocities before and after collision are 20 m/s and 5 m/s respectively. The loss of kinetic energy of the system is ______.


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 ______.


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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).

  1. Kinetic energy.
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Give reason for your answer in each case.


A ball falls from a height of 1 m on a ground and it loses half its kinetic energy when it hits the ground. What would be the total distance covered by the ball after sufficiently long time?


The dimension of mutual inductance is ______.


Before collision, what is the position of objects?


What is a collision?


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