Question

Calculate the acceleration acceleration due to gravity
1-at a height of 200 km 2-at a depth of 100 km from the surface of the earth. Given acceleration due to gravity on the surface of the earth =100ms2,radius of the earth is 6400 km

Answer 1

Answer:

(a)$3.125 {ms}^{ - 2}$

(b)tex]9.84375 {ms}^{ - 2} [/tex]

Explanation:

1.$we \: know \: that \\ acc. \: due \: to \: gravity \: with \: height = g(1 - \frac{2h}{r} ) \\ then \: putting \: the \: given \: values \: of \: height \: radius \: and \: acc. \: due \: to \: gravity \: of \: earth \: in \: this \: formula \\ \\ acc. \: = \: 10(1 - \frac{2 \times 200}{6400} ) \\ \: \: \: \: \: = 10( \frac{15}{16} ) {ms}^{ - 2} \\ \: \: \: \: \: = 3.125 {ms}^{ - 2}$