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7 steps

  1. Identify the given information.

    The problem states that a 2.0 kg object is moving at 5.0 m/s.

  2. Determine what needs to be calculated.

    We need to find the kinetic energy of the object.

  3. Recall the formula for kinetic energy.

    The formula for kinetic energy (KEKE) is:

    KE=12mv2KE = \frac{1}{2}mv^2

    where mm is the mass and vv is the velocity.

  4. Substitute the given values into the formula.

    m=2.0 kgm = 2.0 \, \text{kg}
    v=5.0 m/sv = 5.0 \, \text{m/s}

    KE=12(2.0 kg)(5.0 m/s)2KE = \frac{1}{2}(2.0 \, \text{kg})(5.0 \, \text{m/s})^2

  5. Calculate the square of the velocity.

    (5.0 m/s)2=25.0 m2/s2(5.0 \, \text{m/s})^2 = 25.0 \, \text{m}^2/\text{s}^2

  6. Perform the multiplication.

    KE=12(2.0 kg)(25.0 m2/s2)KE = \frac{1}{2}(2.0 \, \text{kg})(25.0 \, \text{m}^2/\text{s}^2) KE=(1.0 kg)(25.0 m2/s2)KE = (1.0 \, \text{kg})(25.0 \, \text{m}^2/\text{s}^2) KE=25.0 kg⋅m2/s2KE = 25.0 \, \text{kg} \cdot \text{m}^2/\text{s}^2

  7. State the final answer with the correct units.

    The unit kg⋅m2/s2\text{kg} \cdot \text{m}^2/\text{s}^2 is equivalent to Joules (J).

    KE=25.0 JKE = 25.0 \, \text{J}

    The kinetic energy of the object is 25.0 J.

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