An average-sized asteroid located 5.0 x 10^7 km from earth with mass 2.0 x 10^13 kg is detected headed directly toward earth with speed of 2.0 km/s.
1. what will its speed be just before it hits the surface of the earth? assume the thickness of the atmosphere to be zero. (ignore the size of the asteroid.) [average radius of earth = 6.3781 x 10^6 m, mass of earth = 5.972 x 10^24 kg]

Explanation:

Given data:

Earth mass

distance between earth and asteroid is

asteroid mass

speed of asteroid = 2 km/s

potential energy is

Kinetic energy

Final potential energy of asteroid is

from conservation of energy principle

solving for K_f

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