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  2. 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...

  3. Impulse and momentum are two very important concepts that can be easily derived from Newton’s Second Law and the equation defining acceleration. Specifically using: F = ma F = m a & a = Δv t a = Δ v t. When you substitute for a in Newton’s Second Law, you are left with: F = m Δv t F = m Δ v t. Which is more commonly written as:

  4. 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 The SI unit of impulse ...

  5. Impulse is the area under a force vs. time graph. This graph can be analyzed as two separate areas to find the total impulse over time t 1 + t 2 . A 1 is a rectangle of height F 0 and width t 1 . A 2 is a triangle of height F 0 and base t 2 .

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