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The impulse-momentum relationship is a direct result of Group of answer choicesNewton's 1st lawNewton's 2nd lawNewton's law of gravityNewton's 3rd law

Question

The impulse-momentum relationship is a direct result of

  • Group of answer choices
  1. Newton's 1st law
  2. Newton's 2nd law
  3. Newton's law of gravity
  4. Newton's 3rd law
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Solution

The impulse-momentum relationship is primarily derived from Newton's 2nd Law, which states that the force exerted on an object is equal to the rate of change of its momentum. This relationship can be understood mathematically as:

F=dpdt F = \frac{dp}{dt}

where F F is the force, p p is the momentum (given by p=mv p = mv , where m m is the mass and v v is the velocity), and t t is time.

By integrating this law over a time interval, we find that the impulse (the product of force and the time duration over which it acts) is equal to the change in momentum:

FΔt=Δp F \Delta t = \Delta p

This leads to the conclusion that impulse is equal to the change in momentum, highlighting the direct connection between the two concepts.

Final Answer

The impulse-momentum relationship is a direct result of Newton's 2nd Law.

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The impulse-momentum relationship is a direct result of Group of answer choicesNewton's 1st lawNewton's 2nd lawNewton's law of gravityNewton's 3rd law

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