1.

If g on the surface of the earth is 9.8m//s^2find its value at a height of 6400km. (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=2.45m//s^2`


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