Asteroid A has 3.5 times the mass and 2.0 times the velocity of Asteroid B. If Asteroid B has a kinetic energy of 2,300,000 J then wha

Question

Asteroid A has 3.5 times the mass and 2.0 times the velocity of Asteroid B. If
Asteroid B has a kinetic energy of 2,300,000 J then what is the kinetic energy of
Asteroid A?

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RobertKer 4 years 2021-08-13T05:23:20+00:00 1 Answers 20 views 0

Answers ( )

  1. lethu
    0
    2021-08-13T05:25:08+00:00
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    Answer:

       K_A = 32.2 10⁶ J

    Explanation:

    In this exercise we must relate the quantities given to find the kinetic energy

       

    Asteroid A data

                  m_A = 3.5 m_B

                   v_A = 2.0 v

    they also give the value of the kinetic energy of asteroid A

                  K_B = 2.3 10⁶ J

    the expression for scientific energy is

                   K = ½ m v²

    let’s replace

                  K_A = ½ m_a V_a2

                   K_A = ½ 3.5 m_B (2.0 v_B)^2

                    K_A = 3.5 2² (½ m_B v_B²)

                    K_A = 14 K_B

                       

                   K_A = 32.2 10⁶ J

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