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Can someone explain me this please

Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculate the force of gravity that the space shuttle experiences

uhm i don't understand wut to put below the formula please make it clear thank you alot

Sagot :

TwinklingStar

[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

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