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  • Calculating Impulse: Stopping a Rolling Ball with a Pillow
    Here's how to solve this problem:

    Understanding Impulse

    Impulse is the change in momentum of an object. It's represented by the following equation:

    * Impulse (J) = Change in Momentum (Δp)

    Calculating Momentum

    Momentum (p) is calculated as:

    * Momentum (p) = mass (m) * velocity (v)

    Solving the Problem

    1. Initial Momentum:

    * Mass (m) = 7.2 kg

    * Initial Velocity (v₁) = 1.2 m/s

    * Initial Momentum (p₁) = 7.2 kg * 1.2 m/s = 8.64 kg*m/s

    2. Final Momentum:

    * The ball stops, so its final velocity (v₂) = 0 m/s

    * Final Momentum (p₂) = 7.2 kg * 0 m/s = 0 kg*m/s

    3. Change in Momentum:

    * Δp = p₂ - p₁ = 0 kg*m/s - 8.64 kg*m/s = -8.64 kg*m/s

    4. Impulse:

    * Impulse (J) = Δp = -8.64 kg*m/s

    Magnitude of Impulse:

    The magnitude of impulse is the absolute value of the impulse, which is:

    * |J| = 8.64 kg*m/s

    Therefore, the magnitude of the impulse on the ball is 8.64 kg*m/s.

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