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  • Calculate Acceleration and Force: Physics Problem Solution
    Here's how to solve this problem:

    1. Understand the Concepts

    * Newton's Second Law: The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. (F = ma)

    * Constant Acceleration Equations: Since the block is moving with constant acceleration, we can use the following kinematic equation:

    * d = v₀t + (1/2)at² (where d = distance, v₀ = initial velocity, t = time, a = acceleration)

    2. Identify Given Information

    * Mass (m) = 500 g = 0.5 kg (convert grams to kilograms)

    * Initial velocity (v₀) = 0 m/s (starts from rest)

    * Distance (d) = 8 m

    * Time (t) = 2 s

    3. Calculate Acceleration (a)

    * Using the kinematic equation: d = v₀t + (1/2)at²

    * Substitute the values: 8 = (0)(2) + (1/2)a(2)²

    * Simplify: 8 = 2a

    * Solve for a: a = 8/2 = 4 m/s²

    4. Calculate Force (F)

    * Using Newton's Second Law: F = ma

    * Substitute the values: F = (0.5 kg)(4 m/s²)

    * Solve for F: F = 2 N

    Therefore, the acceleration of the block is 4 m/s² and the force pulling it is 2 N.

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