[tex]\purple{\maltese}\large\underline{\underline{\red{\sf\:\: Given :}}} \\[/tex]
- Mass (M) of space shuttle = 1.0 × 105 kg.
- Altitude (r) = 200.0 km
[tex]\\\purple{\maltese}\large\underline{\underline{\red{\sf\:\: To \: \: Find :}}} \\[/tex]
- The force of gravity that the space shuttle experiences = ?
[tex]\\\purple{\maltese}\large\underline{\underline{\red{\sf\:\: Solution :}}} \\ \\[/tex]
[tex]\purple{\maltese}\large\underline{\underline{\sf\:\: using \: formula :}} \\ \\[/tex]
[tex] \bigstar \: \underline{ \boxed{\sf { \pink{g = \frac{G \: M}{{r }^{2} }}}}} \\ \\ [/tex]
[tex] \\ ❒\: \: \underline{\textbf {Putting values \: in \: the \: \: given \: formula :}} \\ [/tex]
[tex] \sf \implies \: g = \frac{G \: M}{{r }^{2} } \\ [/tex]
[tex] \sf \implies \: g = \frac{6.67×10^{-11} × 1.0×10^5}{(2×10^5)^{2} } \\ [/tex]
[tex] \sf \implies \: g = \frac{6.67×10^{-6}}{4×10^{10}}\\ [/tex]
[tex] \sf \implies \: g = \frac{6.67×10^{-6}}{4×10^{10}} \\ [/tex]
[tex] \sf \implies \: g =1.6675×10^{-6-10}\\ [/tex]
[tex] \sf \implies \: g =1.6675×10^{-16}\: Newton\\\\ [/tex]
[tex]\:\:\:\:\:\:\:\qquad\rule{150pt}{2pt} \\\\ [/tex]
Henceforth, the force of gravity experienced by the shuttle is 1.6675×10^N
