The formula to calculate the gravitational force between two objects is F_g=GM_1M_2/r^2, where M_1 and M_2 are the masses of the objects, G is the gravitational constant and r is the distance between the objects. Solve for M_1 in terms of F_g, G, M_2 and r.
Answer:
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:
[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]
Thus, cross multiply to have;
[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]
then divide through by G[tex]M_{2}[/tex] to have,
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Pls help! Write two inequalities for the graph.
(System of inequalities)
Add or subtract to simplify(4x - 2x^3) +(5x^3 - 4x + 5)
Answer: 4x -8+ 125x -4x +5
What is the equation of the line that passes through the point (-3, 1) and has a
a slope of - 2?
(-3x² + 9.2 - 9) + (-9x² + 9x + 3)
How do I complete this problem?
Answer:
30
Step-by-step explanation:
x=30 (being corresponding angle)
Answer:
25/48 = 30/x
25x = 1440
x = 57.6
A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, , causes a change in
the dependent variable,
Answer:
The number of seconds, the number of feet the sub descends.
Step-by-step explanation:
Answer:
I just did it and I got it right so there is a pic for proof a pic that ma answer is right
Step-by-step explanation:
please help me I'm confused
Answer:
B
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 26 and h = 5 , then
A = [tex]\frac{1}{2}[/tex] × 26 × 5 = 13 × 5 = 65 ft² → B
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )
Answer:
Hopefully u will satisfy with my answer..!!how many possibilities are there if you toss coin 7 times
each toss results in 2 possible outcomes, head or tail so the number of possible outcomes for 7 would be
Answer:
2^7
2x2x2x2x2x2x2 = 2^7
What is:
1/4 (q-12) + 1/4 (q-4)
simplified??
Answer: -b - 9
Step-by-step explanation:
First, since the a cancel eachother out we are left with (4-b) + (-6-7)
Second, you want to add the -6 and -7 to get -13, so (4-b) - 13
Finally, add the 4 to the negative 13 to get (-b - 9)
Hope this helps.
I need help for question 17 in my big ideas math homework, it says "Use the figure to find the measures of the numbered angles."
Answer:
can you show a pic tell me in the comments
Step-by-step explanation:
helppp pleaseeeeee!!
Answer:
c .
Step-by-step explanation:
Answer:
sas maybe
Step-by-step explanation:
because a-c is a side marked by two lines, and it corresponeds
with b-c. c is the same angle. c-e is marked by one line and corresponds with c-d.
Solve for x please :).
which best describes the solutions to the equations 5x -6 - x =2x +2
Answer:
x=4
Step-by-step explanation:
Find the y-intercept of 2x - y = -6.
— 7x — 4y = — 44
7x — Зу = 16
Answer:
-7x-4y+4y=-44+4y
-7x=4y-44
-7x/-7= 4y-44/-7
x=-4/7y+44/7
x=-4/7y+44/7
Step-by-step explanation:
9. A bag of M&M's contains 4 red, 1 blue, 3 yellow, and 2 brown. What is the probability
of Maggie choosing a yellow M&M, eating it, and then choosing another yellow M&M?
Answer:
1/15
Step-by-step explanation:
Given that:
Total Number of M&M's = (4 + 1 + 3 + 2) = 10
Number of yellow M&M's = 3
Probability = required outcome / Total possible outcomes
First pick (choosing without replacement)
P(choosing a yellow M&M) = 3 / 10
Second pick :
P(choosing a yellow M&M) = 2 / 9
P(choosing 2 yellow M&M) = 3/10 * 2/9 = 6/90 = 1/15
Help, please!
Look at the question down below In the photo
will give brainliest!!!!
Answer:
√136 is Approximately 2 times of √33
Step-by-step explanation:
√136 = √4x34 = 2√34 ≈ 2 x √33
Please help me solve :(((
Answer:
θ ≈ 15°
Step-by-step explanation:
Using the sine rule in the triangle
note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then
[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )
2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )
sinθ = [tex]\frac{756sin125}{2400}[/tex] , then
θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )
What equivalent to 3:4
Please no bots
Answer: [tex]6/8, 9/12, 12/16, 15/20[/tex] and so on
Step-by-step explanation:
Answer:
There are many ratios equivalent to 3:4. For example, 6:8, 9:12, 12:48, 15:20, 18:24
Step-by-step explanation:
Sara puts $4,000 into an investment yielding 5% annual simple interest; she left the money in for five years and 6 months. How much interest does Sara get at the end of those five years and 6 months?
Answer: [tex]\$1100[/tex]
Step-by-step explanation:
Given
Principal amount is [tex]P=\$4000[/tex]
Rate of interest [tex]R=5\%[/tex]
Time period [tex]T=5\ yr\ \text{and}\ \text{6 months}\equiv 5.5\ yr[/tex]
We know, Simple interest is
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
Putting values
[tex]\Rightarrow S.I.=\dfrac{4000\times 5\times 5.5}{100}=\$1100[/tex]
Sara gets [tex]\$1100[/tex] after 5 years and 6 months
A rectangular prism has a length of 20cm, a height of 17cm, and a width of 6cm. What is its volume, in cubic cm?
Answer:
2,040cm
Step-by-step explanation:
I have a triangle with angles measuring 40, 40, and 100. Is this one a unique triangle, many triangles, or no triangle?
Answer:
Unique triangle.
Step-by-step explanation:
If you were to draw the triangle, you would've been able to see that one angle is open and that the other 2 were closed.
Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5th the caller will win a music player and every 7th caller will win concert tickets.
You were just the first caller to win both a music player and concert tickets!
What number of caller were you?
Answer:
you are the 35th caller.
Step-by-step explanation:
Multiples of 5: 5,10,15,20,25,30,35,40,45,50
Multiples of 7: 7,14,21,28,35,42,49,56,63,70
Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.
PLEASE ANSWER THIS
imagine is above
Figure 3 shows the electronic structure of an atom.
Figure 3
Electron
Nucleus
RON
This element is in the shaded group on Figure 2.
Why is this element unreactive?
Answer:
huh looks simple....it's unreactive because it's already stable
Step-by-step explanation:
it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons
What is the magnitude of -3+4i
The Magnititude of -3 + 4i is 5.
Terry Clayton has an open-ended lease for an SUV. The lease costs $421.38 for 48
months. He paid a $2,500 deposit, an $85 title fee, and a $235 license fee. At the end of the lease, he can buy the vehicle for its $15,644 residual value. What is the (a) total
amount of payments, and (b) total cost of the lease?
Answer:
Terry Clayton tiene un contrato de arrendamiento por tiempo indefinido para un SUV. El arrendamiento cuesta $ 421.38 por 48
meses. Pagó un depósito de $ 2,500, una tarifa de título de $ 85 y una tarifa de licencia de $ 235. Al final del arrendamiento, puede comprar el vehículo por su valor residual de $ 15,644. ¿Cuál es (a) la
cantidad total de pagos y (b) el costo total del arrendamiento?
Step-by-step explanation:
Can someone help me pls
Answer:
Where's the answer?
Step-by-step explanation:
BRAINLIEST TO CORRECT ANSWER!!
120/1500=x/100, x=8
So, you make 8% commision, meaning you now have to do this:
x/1300=8/100, so x=$104