# What is the acceleration of a meteor at a distance #8xx10^6"m"# from the centre of the Earth? Take the mass of the Earth to be #6xx10^(24)"kg"#

##### 1 Answer

Aug 16, 2017

Law of Universal Gravitation states that the force of attraction

Mathematically stated

#F_G =G (M_1.M_2)/r^2# .......(1)

where#G# is the proportionality constant and#=6.67408 xx 10^-11 m^3 kg^-1 s^-2#

Let

#F_G=ma# ......(2)

Comparing (1) and (2) we get

#a=F_G/m=G (M_e)/r^2#

Inserting various values we get

#a=6.67408 xx 10^-11xx (6xx10^24)/(8×10^6)^2#

#a=6.3ms^-2# , rounded to one decimal place.