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24 January, 06:20

Find the magnitude of the force needed to accelerate a 280 g mass with a⃗ = - 0.170 m/s2 i^+0.450 m/s2 j^.

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  1. 24 January, 06:42
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    Force = ma

    Mass, m = 280g = 280/1000 = 0.28kg.

    a = (-0.170i + 0.45j) m/s²

    Since this is in vector form, let us find the magnitude of the acceleration.

    a = √ ((-0.17) ² + 0.45²). This is the formula for the magnitude using the vector components.

    a = √ (0.2314) ≈ 0.4810 m/s²

    F = ma = 0.28 * 0.481≈ 0.13468

    The force is ≈ 0.1349 N
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