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lara [203]
1 year ago
8

The gravitational attraction betweentwo bodies varies inversely as thesquare of the distance between them.If the force of attrac

tion is 64 poundswhen the distance between the bodiesis 9 feet, what is the distance betweenthem when the force is 36 pounds?
Mathematics
1 answer:
Sliva [168]1 year ago
3 0

The force for the case 1 is 64 pounds and the distance is 9 feet, it is:

\begin{gathered} \frac{k}{9^2}=64 \\ k=5184 \end{gathered}

Now, if the force is 36 pounds, let solve for the distance:

\begin{gathered} \frac{k}{r^2}=36 \\ \frac{5184}{r^2}=36 \\ r^2=144 \\ r=12 \end{gathered}

Hence the answer is 12 feet.

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An earth satellite remains in orbit at a distance of 11550 km from the center of the earth. what speed would it have to maintain
marishachu [46]
<span>11,550 km has to be changed to 11,550,000 meters

G · m · t² = 4 · π² · r³  we can change that to
</span>t² = (4 · π² · r³) / <span>(G · m )
t^2 = 4*PI^2*r^3 / (G*m)
</span>t^2 = 4*PI^2*<span>(11,550,000)^3 / 6.67*10^-11*5.98*10^24kg
t^2 = </span> <span> <span> <span> 6.083*10^22 </span> </span> </span> <span><span> </span> </span> / <span> <span> <span> 3.9</span></span></span>9 * 10^14
t^2 =  <span> <span> <span> 152,500,000</span></span></span>
t = <span>12,350 seconds
</span>and its orbital distance it travels is 11,550 * 2*PI = 70,050 kilometers

Therefore, it is traveling at 70,050 km / 12,350 second which equals
5.67 km per second which  <em>is 5,670 meters per second.</em>


Source:
http://www.1728.org/kepler3a.htm



4 0
4 years ago
Mom and her siblings have inherited a 30000 (Square miles) of land. She has 9 sisters and 3 brothers. Each brother has inherited
lyudmila [28]

Answer:

1875 square miles

Step-by-step explanation:

There are a total of 10 women and 3 men. Let's define two variables:

  • w: land inherited by a woman
  • m: land inherited by a man

Given that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:

2*w = m

10*w + 3*m = 30000

Replacing the first equation into the second one, and solving for w:

10*w + 3*2*w = 30000

16*w = 30000

w = 30000/16

w = 1875 square miles

Your mom, and all of her sisters, inherited 1875 square miles each

5 0
3 years ago
G(t) = -2t + 3f(t) = 2t - 5<br> Find (g f)(t)
Tanzania [10]

Answer:

( g − f ) ( a ) = g ( a ) − f ( a )

( g −f ) ( a ) = g ( a ) − f ( a )

= − 3 a − 3 − a 2 − 5

= − a 2 − 3a − 8

Step-by-step explanation:

3 0
4 years ago
Which description best describes the solution to the following system of equations?
Ksivusya [100]
Y=-x/2+9
y=x+7
If we solve this system of equations, we can find the solution to the following system of equation.
we can solve this system of equation by equalization method.
-x/2+9=x+7
lowest common multiplo=2
-x+18=2x+14
-3x=-4
x=-4/-3=4/3

y=x+7=4/3  + 7=(4+7*3)/3=25/3

The solution is (4/3, 25/.3)

answer: Line y=-x/2+9 intersects line y =x+7
8 0
3 years ago
Read 2 more answers
A quadrilateral has an angle that measures °77 °180 and °65 what is a measure of the fourth angle
emmainna [20.7K]
The angles in a quadrilateral must add up to 360 degrees. So, if we add up the first three sides we get 77 + 180 + 65 = 322 degrees. The last side is going to be 360 - 322 = 38 degrees.
5 0
3 years ago
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