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22 December, 15:43

How much work must be done on a 5-kg snowboard to increase its speed from 2 m/s to 4 m/s?

A. 22.5 J

B. 40 J

C. 30 J

D. 15 J

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Answers (1)
  1. 22 December, 16:01
    0
    Option C = 30 j

    Explanation:

    Given dа ta:

    mass of snowboard = 5 Kg

    Initial speed = 2 m/s

    final speed = 4 m/s

    work done = ΔE=?

    ΔE = change in kinetic energy

    Solution:

    Formula:

    K. E (initial) = 1/2 * mv²

    K. E (initial) = 1/2 * 5 Kg. (2m/s) ²

    K. E (initial) = 1/2 * 20 Kg. m²/s²

    K. E (initial) = 10 Kg. m²/s² or 10 J

    Kg. m²/s² = J

    K. E (finial) = 1/2 * mv²

    K. E (finial) = 1/2 * 5 Kg. (4m/s) ²

    K. E (finial) = 1/2 * 5 Kg. 16 m²/s²

    K. E (finial) = 1/2 * 80 Kg. m²/s²

    K. E (finial) = 40 Kg. m²/s² or 40 J

    work done = ΔE = K. E (finial) - K. E (initial)

    work done = ΔE = 40 J - 10 J

    work done = ΔE = 30 J
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