The toothpick mass was 0.14 g, its speed before entering the branch was 218 m/s, and its penetration depth was 14 mm. If its speed was decre

Question

The toothpick mass was 0.14 g, its speed before entering the branch was 218 m/s, and its penetration depth was 14 mm. If its speed was decreased at a uniform rate, what was the magnitude of the force of the branch on the toothpick

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Thanh Hà 2 months 2021-09-02T14:46:42+00:00 2 Answers 0 views 0

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    0
    2021-09-02T14:48:24+00:00

    Explanation:

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    0
    2021-09-02T14:48:33+00:00

    Answer:

     = 238N

    Explanation:

    mass = 0.14g = 14 × 10⁻⁵kg

    initial velocity = 218m/s

    final velocity = 0

    penetration depth (distance) = 14mm = 14 × 10⁻³m

    v²(final) = v²(initial) + 2aΔx

    0² = (218)² + 2(14 × 10⁻³)a

    a = -(218)² /  2(14 × 10⁻³)

    a = 16.97 × 10⁵m/s²

    F = ma

     = (14 × 10⁻⁵)(16.97 × 10⁵)

     = 237.58N

     ≅ 238N

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