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  • Calculating Acceleration with Multiple Forces | Physics Problem Solution
    Here's how to solve this problem:

    1. Find the Net Force

    * Since the forces act at right angles, we can use the Pythagorean theorem to find the resultant force (the net force).

    * Net Force (F) = √(3² + 4²) = √(9 + 16) = √25 = 5 Newtons

    2. Apply Newton's Second Law

    * Newton's Second Law of Motion states: Force (F) = Mass (m) * Acceleration (a)

    * We know the net force (F = 5 N) and the mass (m = 2 kg), so we can solve for acceleration (a).

    3. Calculate Acceleration

    * Rearranging the equation: a = F/m

    * a = 5 N / 2 kg = 2.5 m/s²

    Therefore, the acceleration of the block is 2.5 m/s².

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