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A molecule in a gas container hits a horizontal wall with speed 200 m s–1 and angle 30° with the normal, and rebounds with the same speed. Is momentum

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प्रश्न

A molecule in a gas container hits a horizontal wall with speed 200 m s–1 and angle 30° with the normal, and rebounds with the same speed. Is momentum conserved in the collision? Is the collision elastic or inelastic?

संख्यात्मक
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उत्तर

Speed of molecule u = 200 m s-1, θ = 30°

Speed after rebound ν = 200 m s-1

∵ Momentum is conserved in every type of collision.

Therefore, momentum will be conserved in this collision also.

kinetic energy of the system when hitting the wall `"K"_1 = 1/2 "m""u"^2`

= `1/2"m" (200)^2 "J"`

kinetic energy after collision `"K"_2 = 1/2 "m""ν"^2`

= `1/2"m" (200)^2 "J"` 

∴ The collision is elastic collision.

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पाठ 5: Work, Energy and Power - EXERCISES [पृष्ठ ९०]

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एनसीईआरटी Physics [English] Class 11
पाठ 5 Work, Energy and Power
EXERCISES | Q 5.14 | पृष्ठ ९०

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.


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.


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)?


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?


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.


A bullet of mass 0.012 kg and horizontal speed 70 m s–1 strikes a block of wood of mass 0.4 kg and instantly comes to rest with respect to the block. The block is suspended from the ceiling by means of thin wires. Calculate the height to which the block rises. Also, estimate the amount of heat produced in the block.


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 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.


Explain the characteristics of elastic and inelastic collision.


Define the following:

Coefficient of restitution


A block of mass 'm' moving along a straight line with constant velocity `3vec"v"` collides with another block of same mass at rest. They stick together and move with common velocity. The common velocity 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 ______.


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.

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 sphere of mass 'm' moving with velocity 'v' collides head-on another sphere of same mass which is at rest. The ratio of final velocity of second sphere to the initial velocity of the first sphere is ______. ( e is coefficient of restitution and collision is inelastic)


In a collision, what type of interaction occurs between objects?


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