1.

If g on the surface of the earth is 9.8m//s^2, find its value at a height of 6400 km. (Radius of the earth = 6400km)

Answer»

Solution :LET g at a HEIGHT H be `g_h`
`g_h=g/(1+h/R)^2`
h=6400 KM, R=6400 km, `g=9.8 m//s^2`
`g_h=9.8/(1+6400/6400)^2=9.8/(1+1)^2 =9.8/4=2.45 "m//s"^2`


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