Answer:
Approximately [tex]30\; \rm N[/tex] toward the center of the object.
Step-by-step explanation:
Look up the gravitational constant and the mass of the earth:
[tex]\begin{aligned}G &\approx 6.67 \times 10^{-11}\; \rm m^{3} \cdot kg^{-1} \cdot s^{-2} \\ &= 6.67 \times 10^{-11} \; \rm N \cdot m^{2} \cdot kg^{-2}\end{aligned}[/tex].
[tex]M \approx 5.97 \times 10^{24}\; \rm kg[/tex].
Convert the unit of distance to standard units:
[tex]\begin{aligned}r &= 25600\; \rm km \\ &= (25600 \times 10^{3})\; \rm m \\ &= 2.56 \times 10^{7}\; \rm m\end{aligned}[/tex].
Consider two spherical objects with mass [tex]m_{1}[/tex] and [tex]m_{2}[/tex]. Let [tex]r[/tex] denote the distance between the centers of the two objects. By Newton's Law of Universal Gravitation, the size of the gravitational force between these two objects would be:
[tex]\begin{aligned}F &= \frac{G \cdot m_{1} \cdot m_{2}}{r^{2}}\end{aligned}[/tex].
Thus, the size of the gravitational force between this object and the earth would be:
[tex]\begin{aligned}F &= \frac{G \cdot m \cdot M}{r^{2}} \\ &\approx \frac{1}{2.56\times 10^{7}\; \rm m} \\ &\quad \times 6.67 \times 10^{-11}\; \rm N \cdot m^{2}\cdot kg^{-2} \\ &\quad \times 50\; \rm kg \times 5.97 \times 10^{24}\; \rm kg \\ &\approx 30\; \rm N\end{aligned}[/tex].
Since gravitational force is attractive, the [tex]50\; \rm kg[/tex] object in this question would attract the earth through the gravitational force. Thus, this force would point towards the center of this [tex]50\; \rm kg\![/tex] object.
Please help!!
!!!!!!!!!!!!!!!
Step-by-step explanation:
SSS
side- side- side
when all 3 sides are congruent, then the triangles is congruent.
ML and NP are given.
MP is shared (so, definitely even the same side).
and PL and NM are parallel.
so, all 3 sides are covered.
eugheugh eughhhh I've been listening to my comfort playlist stressing about this test for too long Please just help ;-;
Answer:
2 and 4 are correct
Step-by-step explanation:
1 is incorrect because 4/5 being bigger than 7/10
3 is incorrect because 2/3 is more than 5/9
is every even number greater than 2 the sum of 2 primes?
Answer:
yes
Step-by-step explanation:
pls help i need this
Answer:
[tex]21x^3-2x^2-66x+27[/tex]
Multiply the following
Provide in standard form :)
Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
[tex]((x-2)(x+1))(x+5)[/tex] [tex]((x-2)(x+1))(x)+((x-2)(x+1)(5)[/tex] [tex]x^3 - x^2 -2x + 5x^2-5x-10[/tex] [tex]x^3+4x^2-7x-10[/tex]5. Luis found a new text messaging plan which will charge him $2.00 for 80 messages. Using this
plan, how much would he pay for 900 text messages in one month?
What is the value of the expression
(
44
+
6
2
)
4
2
4
2
(44+6
2
)
?
Answer:
Step-by-step explanation:
(44+62)4242(44+62)
=44(62+62)4242
=44(124)4242
=5456*4242
=23,144,352.
what is the reflection of (-1, -5) on a number line
Answer:
it would prolly be (1, 5)
Answer:
the answer would be (-1,5)
Step-by-step explanation:
(-5,4); m=3
what is the equation of the line?
Answer:
y = 3x + 19
Step-by-step explanation:
Point slope formula: y-y1=m(x-x1)
y - 4 = 3(x - (-5))
y - 4 = 3(x + 5)
y - 4 = 3x + 15
y = 3x + 19
Anyone know this one?? Please help asap
Answer:
4th option
Step-by-step explanation:
6x-3= Ax-3-2x
6x-3= (A-2)x -3
6= A-2
A= 6+2
A=8
Given :-
A equation 6x - 3 = Ax - 3 - 2xTo Find :-
The value of A so that the equation has infinitely many solutions .Solution :-
Given equation ,
6x - 3 = Ax - 3 - 2x .Add 3 to both sides ,
6x = Ax - 2xAdd 2x to both sides ,
6x + 2x = AxSimplify ,
8x = AxDivide both sides by A .
A = 8Hence the value of A should be 8 .
plz help me with this i don’t understand
Answer:
BD = 26
Solve for x:
[tex]x=21[/tex]
Step-by-step explanation:
[tex]4x-58 = 2x-16[/tex]
[tex]x=21[/tex]
[tex]4(21)-67=17; 17+9 =26[/tex]
Tip:
BC + CD = BD
Can someone help me!
if something cost $4.90 due to a 14% discount what is the original price
How many triples of three positive integers have a product of 16?
There are 15 possible triples of three positive integers whose product is 16.
According to this question, we must find the quantity of all possible triples such that they have a product of 16. By factor decomposition, we have that 16 is equal to the following product of prime numbers:
[tex]16 = 2^{4}[/tex]
There are the following triples considering order of factors:
(i) [tex]\{16, 1, 1\}[/tex], (ii) [tex]\{1, 16, 1\}[/tex], (iii) [tex]\{1, 1, 16\}[/tex], (iv) [tex]\{2, 8, 1\}[/tex], (v) [tex]\{8, 2, 1\}[/tex], (vi) [tex]\{8, 1, 2\}[/tex], (vii) [tex]\{2, 1, 8\}[/tex], (viii) [tex]\{1, 2, 8\}[/tex], (ix) [tex]\{1, 8, 2\}[/tex], (x) [tex]\{1,4,4\}[/tex], (xi) [tex]\{4, 1, 4\}[/tex], (xii) [tex]\{4,4,1\}[/tex], (xiii) [tex]\{2,2,4\}[/tex], (xiv) [tex]\{2, 4, 2\}[/tex], (xv) [tex]\{4,2,2\}[/tex]
There are 15 possible triples of three positive integers whose product is 16.
We kindly invite to check this question on factor decomposition: https://brainly.com/question/2250220
y=6x+2
answer asappp
An average household earned $19,074.00 in December, 1981. How much
would that income be in October, 2008?
Answer:
Step-by-step explanation:An average household, earned $19,074.00 in December, 1981. How much would that income be in October, 2008? ($19,074.00 * (216.573/94.000) = $43,945.89).
Y= 3(x+4) to the power of 2 - 8 I need to know the table of values
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation is in vertex form, so you can tell that the vertex of the graph is (x, y) = (-4, -8). This suggests your table should have values that are symmetrical about x = -4. The attachment shows one possible table of values.
__
It is generally convenient to let a graphing calculator or spreadsheet compute a table of values for you.
Put each chosen value of x into the equation and do the arithmetic.
For x=-5, ...
y = 3(-5+4)² -8 = 3(-1)² -8 = 3 -8 = -5
Then (-5, -5) will be a point in your table. Recognizing the symmetry of the function, you know that (-3, -5) will also be a point in your table.
Solve this please I will give you max points
Answer:
1/2Step-by-step explanation:
There are 19 terms according to the numerators (1 through 19).
Each pair of the first 18 terms sum to 1/20:
19/20 - 18/20 = 1/2017/20 - 16/20 = 1/20...3/20 - 2/10 = 1/20These 18 terms sum to:
9*1/20 = 9/20Add the last term:
9/20 + 1/20 = 10/20 = 1/2The overall sum is 1/2
Question 11
Solve for x.
willl give brainliest
Answer:
79
Step-by-step explanation:
360⁰-44⁰=316
4x = 316
316/4=79
X=79
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In the given figure, 4x and 44° forms linear pair
so , they are supplementary angles of each other, that is :
[tex]4x + 44 = 180[/tex][tex]4x = 180 - 44[/tex][tex]4x = 136[/tex][tex]x = 34 \degree[/tex]PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!
Answer:
Since angle 1 = angle 3 (vert opp angles),
angle 1 = angle 3 = 180°-129° (adj angles on a str line)
= 51°
angle 4 = angle 2 = 129° (vert opp angles)
Hence,
angle 1 = 51°
angle 3 = 51°
angle 4 = 129°
what is 3 ÷ 2 with step please
Answer:
1.5
Step-by-step explanation:
3/2
How do I add the letters
Answer:
add
Step-by-step explanation:
because adddffffycy8gc
2n+3
FULL EXPLANATION PLEASE
PLEASE HELP WILL GIVE BRAINLIEST AND 5 STARS AND A THANKS DUE IN 1 HOUR!~
Answer:
-7
Step-by-step explanation:
Answer:
check explanation
Step-by-step explanation:
the slope between two points can be defined as the change in y over the change in x. Consider (0, 11) as your first point and (1,4) as your second point.
To find the slope, do:
(y2 - y1) / (x2 - x1) = slope
(4 - 11) / (1 - 0) = slope
-7/1 = slope
phân tích đa thức:
x^3+3x^2+3x+1
Please find attached photograph for your answer.
The measure of one angle is 7 times the measure of its COMPLIMENT. Find the measure of each angle.
Step-by-step explanation:
given,
the complete angle is complementry angle which is 90°
let the first angle be x and second angle be 7x ( as second angle is 7 times more than first angle )
now,
→ x + 7x = 90
→ 8x = 90
→ x = 90/8 = 11.25
therefore
1st angle = x = 11.25°
2nd angle = 7x = 7 × 11.25 = 78.75°
hope this answer helps you dear take care and may u have a great day ahead!
Circle A has a circumference of 2 2/3m. Circle B has a diameter that is 1 1/2 times as long as Circle As diameter. What is the circumference of Circle B?
Step-by-step explanation:
the circumference of a circle is
c = 2×pi×r
with r being the radius.
the diameter of a circle is always twice its radius.
circle A
2 2/3 = 8/3 = 2×pi×r
4/3 = pi×r
r = 4/3 / pi = 4/(3×pi) = 0.424413182... m
the diameter is then : 0.848826363... m
the diameter of B is 1.5 times the diameter of A :
1.273239545... m
therefore, the radius of B is 0.636619772... m
and so, the circumference of B is
2×pi×0.636619772... = 4 m
of course, if we had considered that both diameter and circumference are in linear dependence (see the formula for the circumference), we could get the result much faster. if the diameter increases 1.5 times, then also the circumference increases 1.5 times :
2 2/3 = 8/3 × 1.5 = 8/3 × 3/2 = (8×3)/(3×2) = 8/2 = 4 m
12) Between which two whole numbers is The square root of 18
A) 4 and 5
B) 5 and 6
C) 17 and 18
Answer:
4 and 5 it's because/√18 is eauals to 4.2426
please helpp with this venn diagram :)
Answer: It would be D
Step-by-step explanation: Because it is saying that A , B and C are been joint together so it is union .
Answer:
(D)
Step-by-step explanation:
the wite part is AUBUC and shaded is its complement
A trampoline was originally priced at $100 but went on sale for 60% off. If Emmett bought the trampoline and paid 5% sales tax, how much did he pay in total?
Answer:
55
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
You will have to take 60% out from $100 and after add 5% on top if it.
The calculation should look like this:
(100 - 60%) + 5% = 42
³√27 x 1000
What is the answer and show me working out please?
<3
if you don't understand please ask in the comment section