Calculate the kinetic energy of a 790-kg roller coaster traveling at a velocity of 20.7 m/s.

Question

Calculate the kinetic energy of a 790-kg roller coaster traveling at a velocity of 20.7 m/s.

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King 4 years 2021-08-14T21:23:01+00:00 2 Answers 65 views 0

Answers ( )

    0
    2021-08-14T21:24:30+00:00

    Answer:

    \displaystyle KE = 169254 \ J

    General Formulas and Concepts:

    Energy

    Kinetic Energy Formula: \displaystyle KE =  \frac{1}{2}mv^2

    • KE is kinetic energy (in J)
    • m is mass (in kg)
    • v is velocity (in m/s)

    Explanation:

    Step 1: Define

    [Given] m = 790 kg

    [Given] v = 20.7 m/s

    Step 2: Solve

    1. Substitute in variables [Kinetic Energy Formula]:                                           \displaystyle KE =  \frac{1}{2}(790 \ kg)(20.7 \ m/s)^2
    2. [KE] Evaluate exponents:                                                                                  \displaystyle KE =  \frac{1}{2}(790 \ kg)(428.49 \ m^2/s^2)
    3. [KE] Multiply:                                                                                                     \displaystyle KE =  (395 \ kg)(428.49 \ m^2/s^2)
    4. [KE] Multiply:                                                                                                     \displaystyle KE = 169254 \ J
    0
    2021-08-14T21:24:39+00:00

    Answer:

    The answer is 169253.55 joules

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