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4 years ago

What is the answer to 1. please explain!

Mathematics

2 answers:

ziro4ka [17]4 years ago

8 0

The answer is given below:

kari74 [83]4 years ago

8 0

You can turn these numbers into improper fractions. 5 1/3 can be changed to 16/3. 3 5/6 can be changed to 23/6. So now your equation is 16/3 - 23/6= ?
To do this we have to have common denominators. Since 3 times 2 can make 6, which is the other denominator then we can multiply the top which is 16 by 2 as well. This is because whatever you do to the top you have to do to the top. 16 times 2 is 32. Now we have 32/6-23/6. The denominator is going to stay the same so you don't have to worry about it. Take the numerators and subtract them.
32-23=?
You should have gotten 9.
So now you have 9 over 6. You can simplify this with a common factor which in this case is 3. 9 divided by 3 is 3. 6 divided by 3 is 2. You now have 3/2. You can simplify this back into a mixed number and that would give 1 1/2. This is because 2, the denominator, goes into 3 once with a remainder of 1. 1 over 2 is 1/2.
Your answer is 1 1/2.

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

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 = ?

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

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

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

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

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

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

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

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

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

Henceforth, the force of gravity experienced by the shuttle is <u>1.6675×10^N</u>

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2 years ago

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