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Show that the impulse of a force is equa...

Show that the impulse of a force is equal to the change in momentum produced by the force.

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Show that the wor done by a force is equal to change in potential energy .

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Assertion : Impulsive force is large are acts for a short time. Reason : Finite change in momentum should be produced by the force.

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body. A ball of mass 250 g is thrown with a speed of 30 m//s . The ball strikes a bat and it is hit straight back along the same line at a speed of 50 m//s . Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig. Linear momentum of the ball immediately after colliding with the floor will be

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body. A ball of mass 250 g is thrown with a speed of 30 m//s . The ball strikes a bat and it is hit straight back along the same line at a speed of 50 m//s . Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig. Maximum force exerted by the bat on the ball is

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body. A ball of mass 250 g is thrown with a speed of 30 m//s . The ball strikes a bat and it is hit straight back along the same line at a speed of 50 m//s . Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig. After collision with the hard floor, the ball will bounce to a height

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body. A ball of mass 250 g is thrown with a speed of 30 m//s . The ball strikes a bat and it is hit straight back along the same line at a speed of 50 m//s . Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig. Average force exerted by the bat on the ball is Let us consider another example. The given ball of mass 250 g is dropped from a height 5 m on a hard floor. Force exerted by the floor on the ball, as long as these are in contact, varies with time as shown in Fig.

SL ARORA-Laws of Motion-Exercise
  1. Show that the impulse of a force is equal to the change in momentum pr...

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  2. A force acts for 10 s on a body of mass 10 kg after which the force ce...

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  3. A truck starts from rest and rolls down a hill with a constant acceler...

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  4. A force of 5N gives a mass m(1), an acceleration of 8 m//s^(2), and a ...

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  5. In an X-ray machine an electron is subjected to a force of 10^(-23) N ...

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  6. A stone of mass 5kg falls from the top of a cliff 50m high and buries ...

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  7. A bullet of mass 100 gram moving with 20 m//s Strikes a wooden plank ...

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  8. A motor car running at the rate of 7ms^(1) can be stooped by applying ...

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  9. A force of 50N is inclined to the vertical at an angle of 30^(@) Find ...

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  10. A ship of mass 3xx10^7kg initially at rest, is pulled by a force of 5x...

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  11. A ballon has a mass of 5 g in air. The air escapes from the ballon at ...

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  12. A cricket ball of mass 150 kg is moving with a velocity of 12 m//s and...

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  13. A hammer weighing 1 kg moving with the speed of 10ms^(-1) strikes the ...

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  14. A hammer weighing 1 kg moving with the speed of 10ms^(-1) strikes the ...

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  15. A hammer weighing 1 kg moving with the speed of 10ms^(-1) strikes the ...

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  16. Two billiard balls of mass 50 g moving in oppositedirections with spee...

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  17. A machine gun has a mass of 20 kg . It fires 35 g bullets at the rate ...

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  18. A ball of mass 20 gram hits a wall at an angle of 45^(@) with a veloci...

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  19. A glass ball whose mass is 10 g falls from a height of 40 m and reboun...

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  20. A force acting on a body of mass 2 kg varies with time as shown in fig...

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  21. A force acting on a body of mass 2 kg varies with time as shown in fig...

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