Satellite
Mass
(kg)
An engineer is collecting data on
four different satellites orbiting
Earth. The engineer records the
satellites' distances from Earth in
kilometers (km) and their forces
due to gravity in Newtons (N).
Distance
(km)
4000
Force due to gravity
(N)
17000
1
700
2.
700
36000
3
1000
11000
4
1000
7000
8100
Estimate the values for the two
missing quantities. Enter your
estimates into the blank boxes in
the table.
Answers
The first missing quantity is force due to gravity, and it is 215.1 N.
The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.
Force between two massesThe force between two masses is determined by applying Newton's law of universal gravitation as shown below;
[tex]F = \frac{GMm}{R^2}[/tex]
where;
M is mass of Earth = 5.97 x 10²⁴ kgm is mass of the satelliteR is the distance between the satellite and the EarthG is universal gravitation constantFirst missing quantityThe first missing quantity is force due to gravity, and it is calculated as follows;
[tex]F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N[/tex]
Second missing quantityThe second missing quantity is distance between the statellite and the Earth,
[tex]R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km[/tex]
Learn more about Newton's law here: https://brainly.com/question/3999427
Related Questions
a chair costs rupees 250 and a table costs rupees 400 . If housewife purchased a certain number of chair and two tables fo rupees 2800,find the number of chairs she purchased
Answers
Answer:
The housewife purchased 8 chairs
Which of the following is an arithmetic sequence?
O A. -2,3, 8, 13, 18,...
O B. 1,1, 2, 3, 5, 8, ...
O C. 4,-4, 4, -4, 4, ...
O D. 1, 1/2,1/4,1/16
Answers
Identify the terms and like terms in the question 3n+7-n-3
Answers
Answer:
like terms: (3n,-n),(7,-3)
Step-by-step explanation:
Answer:=2n+2
Step-by-step explanation:
3n+7-n-3=2n+2
i need help on this 6th grade math question:
its for 20 points
Answers
Answer:
Quadrant I.Step-by-step explanation:
Quadrant I examples:
(2, 5)(3, 4)(7, 1)Quadrant II examples:
(-1, 5)(-6, 2)(-4, 7)Quadrant III examples:
(-3, -4)(-7, -1)(-8, -5)Quadrant IV examples:
(5, -6)(1, -4)(8, -2)Which quadrant would each ordered pair be in?
(3,-4)
(12, 9)
(-2, 7)
(2, -5)
Answers
Answer:
A. is the correct answer.
Branliest????
Step-by-step explanation:
The slope is 3 and the line passes through point (5, 17).
Answers
Answer:
[tex]\sf y=3x+2[/tex]
Step-by-step explanation:
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Given:
slope (m) = 3point (x₁, y₁) = (5, 17)Substituting given values into the equation to find the equation of the line:
[tex]\implies \sf y-17=3(x-5)[/tex]
[tex]\implies \sf y-17=3x-15[/tex]
[tex]\implies \sf y=3x+2[/tex]
Which polygon has two sets of parallel sides?
Answers
Answer:
C
Step-by-step explanation:
C is rectangle
Rectangles have 2 sets of parallel lines
explanation: i just know things
1. a movie Theater sold 74 tickets of these tickets. 32 Where tickets for children, and the rest where tickets for adults.
which equation should be used to determine the number of tickets that were for adults.
A. 32+a=14
B. 32a=74
C. 74a=32
D. 32-a=74
Answers
Answer:
Its d
Step-by-step explanation:
why did you delete my answer??
A dog drinks 3.5 bowls of water each day. Each bowl has 2.7 liters of water. How many liters of water does the dog drink throughout the day
Answers
Answer:
9.45 liters
Step-by-step explanation:
3.5 bowls x 2.7 liters= 9.45 total liters
need answer asap thank you
Answers
Answer:
56
Step-by-step explanation:
First of all, if the width of the frame is 2, then add 2 to both sides of 7 to get the frame length7 + 2 + 2 = 11Do the same for 33 + 2 + 2 = 7Area of frame and white rectangle combined = 11 × 7 = 77Area of white rectangle is 7 × 3 = 21Now to get the area of the blue bit, subtract 21 from 77This gives you 56could someone help me really quickly :(((((
Answers
#1
k=3Lets verify
kx²+5x+23x²+5x+23x²+3x+2x+23x(x+1)+2(x+1)(3x+2)(x+1)Yes verified
#2
k=4Lets verify
9x²+kx-59x²+4x-59x²+9x-5x-59x(x+1)-5(x+1)(9x-5)(x+1)Yes verified
Rule to be noted:-
If ax²+bx+c be a function
Then
b=a+cread below thanks :D
Answers
Answer:
(d) 112 m²
Step-by-step explanation:
The area of a parallelogram is given by the formla ...
A = bh . . . . . . where b is the base length and h is the height
__
Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...
A = (14 m)(8 m) = 112 m²
The area of the parallelogram is 112 square meters.
__
Alternate solution
You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.
A = 2(1/2bh) +bh
A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²
Write the answer in simplest form
Answers
Answer:
57/40
Step-by-step explanation:
So we need to find the LCD, or the least common denominator. The LCD is 40. Now, we do a transition to find the new numerator.
[tex]\frac{4}{5} =\frac{x}{40} \\\\\\frac{5}{8} = \frac{x}{40}[/tex]
The new equation is this:
[tex]\frac{32}{40} +\frac{25}{40}[/tex]
Now we use our common sense. 32+25=57
57/40.
You can't simplify this...
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $76
Selling price: $89.83
Answers
since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.
if we take 76 to be the 100%, what is 13.83 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20[/tex]
what is the sum of 9+10?
Answers
Answer:
19.
Step-by-step explanation:
Multiply the following numbers.
(-7)(-5) =
And why???
Answers
Answer: 35
Step-by-step explanation: The reason is that 7 × 5 = 35 and when you multiply two negative numbers they make the answer positive. I hope this helped!
Answer:
35
Step-by-step explanation:
7 times 5 equals 35. Even though the two numbers are positive, the product will be negative, because a negative times a negative equals a positive. A negative times a negative will equal a positive because what was originally negative has been reversed in direction.
So, the answer is 35.
hope this helps!
What are the solutions of this quadratic equation? 9x^2+10=5
Answers
Answer:
No solution
Step-by-step explanation:
9x² + 10 = 5
⇔ 9x² = 5 - 10
⇔ 9x² = -5
This is impossible because 9x² > 0 and -5 < 0
Algebra 1.
13. Write a system of linear equations that has the ordered pair (3, -5) as its solution.
Answers
Answer:
[tex]x + y = -2\\x-y=8[/tex]
Step-by-step explanation:
3 is the [tex]x[/tex], and -5 is the [tex]y[/tex].
1) Create two equations that add and subtract them.
[tex]x + y = -2\\x-y=8[/tex]
2) Check whether you get the same answer (3,-5) or not. To do so, you need to solve them simultaneously using the elimination or substitution method. I will demonstrate using the substitution method.
[tex]x = -2 - y\\x-y=8\\(-2 - y) -y =8\\-2-2y=8\\-2y = 8 + 2\\-2y = 10\\y = \frac{10}{-2} \\y = -5[/tex]
To find [tex]x[/tex], substitute the result into one of the two equations. I choose [tex]x+y=-2[/tex].
[tex]x-5=-2\\x = -2 +5\\x = 3[/tex]
if you were to flip the coin 15, how many times will the coin land on tails based on experimental probability? jordan flipped a count of 45 times.His result are below: heads: 24 tails: 21
Answers
Answer:
It will land 7.5 times on tails, which is rounded up to 8 times
Step-by-step explanation:
there are 2 possibilities, heads or tails
so you divide 15 in 2 and get 7.5
The coin will land 7 times tail based on the experimental probability.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
When the coin tossed 45 times.
Head= 24, tail = 21
So, fraction of appearing tail will be
= 21 / 45
= 0.466667
Now, if the coin tossed 15 times then the coin land on tails
= 15 x 0.466667
= 7
Learn more about Probability here:
brainly.com/question/11234923
#SPJ2
Find all common factors of ...
128 and 129
Answers
Answer:
1
Step-by-step explanation:
The only common factor is one. If an odd number and and even number are next to each other, and you are calculating the common factors, the common factor is one.
You ask four people to the prom. If X is the number of "yes" responses, what is E(X)? Assume equal probability for
"yes" and "no" response.
Answers
Answer:
e is the amount of people
Step-by-step explanation:
4 x so let’s say you have two x you have 50% of the people that said yes.
Mary swam 3/4 mile each day for 8 days
Answers
Step-by-step explanation:
I'm assuming the question is how many miles in total did mary swim.
if this is the case then we just multiply the number of days by the number of miles per day.
Hence,
3/4 × 8 = 6
so 6 miles in total.
make sure to ask if you need any further help
A rectangle has sides that are 7 and 2/5 inches wide and 11 and 2/3 inches long. What is the perimeter of the rectangle?
Answers
Answer:
38.1333333334
Step-by-step explanation:
Perimeter of rectangle:
2 × (length + width) inches
2 × (7 2/5 + 11 2/3) inches
2 × 19.0666666667 inches
38.1333333334
33
The base of a right rectangular prism has
an area of 172.5 square centimeters and
a height of 8 centimeters. What is the
volume, in cubic centimeters, of the
right rectangular prism?
A 180
B 280
C 1,280
D 1,380
3
Answers
Answer:
D 1,380
Step-by-step explanation:
V = area of base × height
V = 172.5 cm² × 8 cm
V = 1380 cm³
9+ – 12(34) + 27 = 0, A= 3*
Use substitution
Answers
Answer:
9+ – 12(34) + 27 = 0, A= 3*
Use substitutionStep-by-step explanation:
The radius of a circle is 11 yards. What is the circle's area?
Use 3.14 for .
Answers
Answer:
[tex]\displaystyle 380,13271108...\:yd.^2[/tex]
Step-by-step explanation:
[tex]\displaystyle {\pi}r^2 = A \\ \\ 11^2\pi = A \hookrightarrow 121\pi = A \\ \\ \boxed{380,13271108... = A}[/tex]
If you want to follow what the exercise wants, then multiplying [tex]\displaystyle 3,14[/tex]by the square of the radius will give you [tex]\displaystyle 379,94\:yd.^2.[/tex]
I am joyous to assist you at any time.
taylor has saved up $300 so far and is saving $40 per week for some $900 shoes write an equation to model her savings and sketch a graph how many days will it take to save up enough money for the shoes
Answers
Answer:
the answer is 1,240
Step-by-step explanation:
you have to add them all up and you will git 1,240.hope this helps if not please let me know
8. When solving the equation (2 - x)(x + 1) = 11, Priya graphs y=(2 - x)(x + 1) - 11 and then looks to find where the graph crosses the x-axis.
Tyler looks at her work and says that graphing is unnecessary and Priya can set up the equations 2 - x = 11 and x + 1 = 11, the solutions
are x = -9 or x = 10.
A) Do you agree with Tyler?
yes
no
Answers
Answer:
No
Step-by-step explanation:
Tyler is incorrect. The only way you can set individual terms equal to the result is when the result is zero. This is due to zero times anything equalling zero. If one of the terms equals zero, then the other term does not matter because the whole thing will be zero. Let's say:
[tex](2 - x)(x + 1) = 0[/tex]
If the first term equals zero, the entire left side is zero. For Priya's case, the right side is not zero, it is 11. If one term is 11, the other term will contribute. You can check this by plugging in Tyler's solutions. The correct way to solve this equation is to use FOIL on the two terms, then subtract 11 on both sides to get zero. Then use the quadratic formula.
PLEASE HELP PLEASE PLEASE
Answers
Answer:
Sublimation - is the transformation from a solid to gas.
Hope this helps!
Your bank offers a promotion where they'll give you $5 for every $100
you deposit into a savings account.
If you deposit $800, how much will the bank give you?
$45
$50
$60
$40
Answers
Answer: C. Forty dollars.
Step-by-step explanation: $5 times eight hundreds equals forty, therefore you will get $40 from the bank.
40 if u take 100 8 times then it will be 800 and You only times 8by 5 then or 5by 8
also if possible can i have brainliest