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?

Answer 1

K_A = 32.2 10⁶ J

Step-by-step 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