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- Thread starter Alpharup
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I'm a little unclear as to whether you want a real world phenomenon that exhibits this property or you want the mathematical derivation of the relationship.

For the former, consider yourself landing after a fall. Just before you reach the ground you have some velocity V and so a momentum mV. Soon after that your momentum is brought to zero by the force of the ground pushing up on you. If you stop quickly (say by keeping you legs straight), the ground pushes on you with a much larger force than if you bend your legs at the knees. With the bending, a

Mathematically, the rate of change of momentum is

∆(mv)/∆t

=m∆v/∆t

=ma

=F

In language, force is the rate of change of momentum. (If you've studies calculus, you'd say force is the derivative of momentum with respect to time.)

- #4

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-- small force for long time.

-- big force for shorter time.

The amount of change in the momentum is proportional to the product

Force * time = impulse = change in momentum.

large change in impuse causes big change in momentum.

ex :Suppose a car is motionless due to run out of gas. In order to bring it into motion .If single person pushes the car it takes longer to bring it into motion. i.e small force for long time.

If more people joins applying big force it comes to motion in short time. i.e big force for short time.

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