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  • Calculating Momentum in a Bicycle Collision: A Step-by-Step Guide
    Here's how to calculate the magnitude of the momentum for each bicycle:

    Understanding Momentum

    Momentum is a measure of an object's mass in motion. It's calculated using the following formula:

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

    Calculating Momentum for Each Bicycle

    * Bicycle 1 (Moving Right):

    - Mass (m) = 30 kg

    - Velocity (v) = 4 m/s (positive since moving to the right)

    - Momentum (p) = 30 kg * 4 m/s = 120 kg*m/s

    * Bicycle 2 (Moving Left):

    - Mass (m) = 30 kg

    - Velocity (v) = -4 m/s (negative since moving to the left)

    - Momentum (p) = 30 kg * -4 m/s = -120 kg*m/s

    Magnitude of Momentum

    The magnitude of momentum is the absolute value of the momentum. Since we're only interested in the size of the momentum, we ignore the direction (positive or negative).

    * Magnitude of momentum for Bicycle 1: 120 kg*m/s

    * Magnitude of momentum for Bicycle 2: 120 kg*m/s

    Important Note: In a perfectly isolated system, the total momentum before the collision is equal to the total momentum after the collision. This principle is known as the conservation of momentum.

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