Answer to Question #126422 in Mechanics | Relativity for Kashish

Question #126422
A 50-kg meteorite moving at 1000 m/s strikes Earth. Assume the velocity is along the line joining Earth's center of mass and the meteor's center of mass. Calculate the amount of kinetic energy converted to internal energy measured from the Earth reference frame. What is the gain in Earth's kinetic energy?
Expert's answer

As, mass of the meteorite is very very less compared to mass of earth thus after collision of the meteorite with earth the whole kinetic energy of the meteorite will convert to the potential energy.

Hence, from earth's frame potential energy will be


Where "R=6400 \\:\\text{km}" is the earth's radius.

Thus, "U=313.6\\times 10^7J"

Gain in kinetic energy is,

"T=\\frac{1}{2}mu^2\\\\\\implies T=2.5\\times 10^7J"

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be the first!

Leave a comment

New on Blog