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  2. By definition, p = m ⋅ v. Where m is the mass and v is the velocity. The standard units for momentum are kg m / s , and momentum is always a vector quantity. This simple relationship means that doubling either the mass or velocity of an object will simply double the momentum.

  3. Δ p = F net Δ t. FnetΔt F net Δ t is known as impulse and this equation is known as the impulse-momentum theorem. From the equation, we see that the impulse equals the average net external force multiplied by the time this force acts. It is equal to the change in momentum.

    • Impulse
    • F = M • A Or F = M • ∆V / T
    • Representing A Rebounding Collision

    These concepts are merely an outgrowth of Newton's second law as discussed in an earlier unit. Newton's second law (Fnet = m • a) stated that the acceleration of an object is directly proportional to the net force acting upon the object and inversely proportional to the mass of the object. When combined with the definition of acceleration (a = chan...

    If both sides of the above equation are multiplied by the quantity t, a new equation results. This equation represents one of two primary principles to be used in the analysis of collisions during this unit. To truly understand the equation, it is important to understand its meaning in words. In words, it could be said that the force times the time...

    Now consider a collision of a tennis ball with a wall. Depending on the physical properties of the ball and wall, the speed at which the ball rebounds from the wall upon colliding with it will vary. The diagrams below depict the changes in velocity of the same ball. For each representation (vector diagram, velocity-time graph, and ticker tape patte...

  4. Impulse-Momentum Theorem. The impulse-momentum theorem states that the change in momentum of an object equals the impulse applied to it. J = ∆p. If mass is constant, then… F∆t = m∆v. If mass is changing, then… F dt = m dv + v dm. The impulse-momentum theorem is logically equivalent to Newton's second law of motion (the force law). Units

  5. Aug 3, 2019 · The theorem states that if an impulse is exerted on a system, the change in that system's momentum caused by the force is equal to the impulse: Δ p → s y s t e m = J →. (It is important to note that these are vector quantities, so the impulse determines both the magnitude and direction of the change in momentum of a system.)

  6. F = m ∆ v /∆ t. F∆t = m∆v. The quantity on the right is the change in momentum (∆ p = m ∆ v ). That should be easily seen. The quantity on the right is something new. We'll call it impulse and represent it with the letter J. (I've also seen the more sensible letter I used from time to time.) Thus… J = F∆t. or in the language of calculus. Units.

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