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  • Calculating Force to Stop a Moving Object: Understanding Impulse and Momentum
    You can't determine the force required to stop a 100 mph ball without knowing how long it takes to stop. Here's why:

    * Force and Time: Force is related to the change in momentum of an object. Momentum is mass times velocity (p = mv). To change momentum (and stop the ball), you need a force applied over a period of time. This is described by the impulse-momentum theorem:

    * Impulse = Force x Time = Change in Momentum

    * Example: A ball stopping suddenly (like hitting a wall) will experience a very large force over a short time. A ball slowing down gradually (like landing in a soft net) will experience a smaller force over a longer time.

    To calculate the force, you need to know the stopping time:

    1. Convert speed: 100 mph = 44.7 m/s

    2. Convert mass: 145g = 0.145 kg

    3. Calculate momentum: Momentum (p) = 0.145 kg * 44.7 m/s = 6.48 kg*m/s

    4. Let's assume a stopping time of 0.1 seconds:

    * Force = Change in momentum / Time

    * Force = 6.48 kg*m/s / 0.1 s = 64.8 Newtons

    Important: This is just an example. The actual force will vary depending on how long it takes to stop the ball.

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