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  • Calculating Acceleration of Sky Divers with Air Resistance
    Here's how to solve this problem:

    1. Understand the Forces

    * Weight (Force of Gravity): This acts downwards and is calculated as:

    Weight (W) = mass (m) * acceleration due to gravity (g) = 112.0 kg * 9.8 m/s² = 1097.6 N

    * Air Resistance: This acts upwards and is given as one-fourth of the weight:

    Air Resistance (R) = (1/4) * 1097.6 N = 274.4 N

    2. Calculate the Net Force

    The net force is the difference between the downward force of gravity and the upward force of air resistance:

    * Net Force (F_net) = Weight (W) - Air Resistance (R)

    * F_net = 1097.6 N - 274.4 N = 823.2 N

    3. Apply Newton's Second Law

    Newton's Second Law states: F_net = mass * acceleration (a)

    * To find the acceleration, rearrange the equation: a = F_net / mass

    * a = 823.2 N / 112.0 kg = 7.36 m/s²

    Therefore, the acceleration of the two skydivers with their parachute is 7.36 m/s².

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