Question

A research satellite of mass $200\, kg$ circle the earth in an orbit of average radius $\frac{3R}{2},$ where is the radius of the earth. Assuming the gravitational pull on a mass of $1\, kg$ on the earths surface to. be $10\, N$, the pull on the satellite will be

• A. 880 N
• B. 889 N
• C. 890 N
• D. 892 N

Answer 1

Answer: (B)

889 N

Answer 2

Given, $10=\frac{G \times 6 \times 10^{24} \times 1}{\left(6.4 \times 10^{6}\right)^{2}}$ $\Rightarrow G=6.82 \times 10^{-11} Nm ^{2} / kg ^{2}$ Therefore, $F_{\text {satellite}}=\frac{6.82 \times 10^{-11} \times 6 \times 10^{24} \times 200}{\left(\frac{3 \times 6.4 \times 10^{6}}{2}\right)^{2}}$ $=889\, N$