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12 December, 10:38

Two people push on a boulder to try to move it. The mass of the boulder is 825 kg. One person pushes north with a force of 64 N. The other pushes west with a force of 38 N. Predict the magnitude of the acceleration of the boulder. Assume that friction is negligible.

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  1. 12 December, 11:03
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    0.09 m/s²

    Explanation:

    Acceleration: This can be defined as the rate of change of velocity.

    The S. I unit of acceleration is m/s².

    From the question, expression for acceleration is given as

    F' = ma

    Using Pythagoras Theory,

    √ (F₁²+F₂²) = ma ... Equation 1

    Where F₁ = Force of the First person on the boulder, F₂ = Force of the Second person on the boulder, F' = resultant force acting on the boulder, m = mass of the boulder, a = acceleration of the boulder.

    make a the subject of the equation

    a = √ (F₁²+F₂²) / m ... Equation 2

    Given: m = 825 kg, F₁ = 64 N, F₂ = 38 N,

    Substitute into equation 2

    a = [√ (64²+38²) ]/825

    a = {√ (5540) }/825

    a = 74.43/825

    a = 0.09 m/s²
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