Question

Can someone explain me this please

Answer 1

$\purple{\maltese}\large\underline{\underline{\red{\sf\:\: Given :}}}$

• Mass (M) of space shuttle = 1.0 × 105 kg.
• Altitude (r) = 200.0 km

$\\\purple{\maltese}\large\underline{\underline{\red{\sf\:\: To \: \: Find :}}}$

• The force of gravity that the space shuttle experiences = ?

$\\\purple{\maltese}\large\underline{\underline{\red{\sf\:\: Solution :}}}$

$\purple{\maltese}\large\underline{\underline{\sf\:\: using \: formula :}}$

$\bigstar \: \underline{ \boxed{\sf { \pink{g = \frac{G \: M}{{r }^{2} }}}}}$

$\\ ❒\: \: \underline{\textbf {Putting values \: in \: the \: \: given \: formula :}}$

$\sf \implies \: g = \frac{G \: M}{{r }^{2} }$

$\sf \implies \: g = \frac{6.67×10^{-11} × 1.0×10^5}{(2×10^5)^{2} }$

$\sf \implies \: g = \frac{6.67×10^{-6}}{4×10^{10}}$

$\sf \implies \: g = \frac{6.67×10^{-6}}{4×10^{10}}$

$\sf \implies \: g =1.6675×10^{-6-10}$

$\sf \implies \: g =1.6675×10^{-16}\: Newton$

$\:\:\:\:\:\:\:\qquad\rule{150pt}{2pt}$

Henceforth, the force of gravity experienced by the shuttle is 1.6675×10^N