The gravitational force between two objects can be calculated using Newton's universal law of gravitation. This force is dependent on the masses of the objects and the distance between them, allowing us to calculate its value even for celestial bodies.
Explanation:The gravitational force between two objects can be determined using Newton's universal law of gravitation. This law states that the force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. It's represented by the equation: F = G×(M₁×M₂)/r², where F is the gravitational force, G is the gravitational constant, M₁ and M₂ are the masses of the two objects, and r is the distance between their centres.
For instance, if we look at the gravitational force exerted on us by the Earth, our weight is actually this force. It can be calculated using Earth's mass (approximately 6 x 10²⁴ kg) and its radius (approximately 6,371 kilometres).
With masses in kilograms and distance in meters, the gravitational attraction between two 1 kg masses separated by 1 meter would be an extraordinarily small value, approximately 6.673 x 10⁻¹¹ N. Despite its small magnitude, this force affects our everyday life and the motion of celestial bodies like moons, planets, stars, and galaxies.
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Which diagram shows ∠1 and ∠2 as vertical angles?
could negative 2 be used as a base to rewrite 32 and 64 why or why not
Jared sells square frames of various sizes made of wood. To find the area of a frame, Jared uses the formula A = s^2 - (s - 2w)^2, where s is the length of a side of the frame and w is the width of the frame.
Part B.) Find the area of a frame that measures 20 inches on each side and has a width of 3 inches
Part C.) Jared charges 18 cents per square inch for his frames. How much will he charge for a frame that measures 16 inches on each side and has a width of 2 inches?
Answer:
B.204 square inches
C.2016 cents
Step-by-step explanation:
We are given that Jared sells square frames of various sizes made of wood .To find the area of a frame ,Jared uses the formula
[tex]A=s^2-(s-2w)^2[/tex]
Where s=Length of a side of the frame
w=Width of the frame
B.We are given that length of each side=s=20 inches
Width of frame=w=3 inches
Substitute the values in the above given formula
Then, we get
A=[tex](20)^2-(20-2\times 3)^2[/tex]
[tex]A=400-(20-6)^2[/tex]
[tex]A=400-196=204 [/tex]square inches
Hence, area of frame=204 square inches
C.We are given that
Cost of 1 square inch=18 cents
Length of each side of frame=s=16 inches
Width of frame=w=2 inches
Substitute the values in the given above formula
Then ,we get [tex]A=(16)^2-(16-2\times 2)^2[/tex]
[tex]A=256-(12)^2[/tex]
[tex]A=256-144=112[/tex] square inches
Cost of 112 square inches=[tex]112\times18[/tex]=2016 cents
Hence, he will charge for a frame =2016 cents
Is there a difference between (-1)^2 vs. -1^2 ?
6.54 x 10 to the 7th power in standard notation
whats the value of 3 in .036
what are the steps to get the answer
-1/4 x 2/7
multiply the 2 top numbers and then multiply the 2 bottom numbers
1*2 = 2+4*7 =28
so answer is -2/28 which can reduce to - 1/14
How does 0.008 compare to 0.08
The thickness of a surfboard relates to the weight of the surfer. A surfboard is 21/3/16 inches wide and 2/3/8 inches thick. Write each dimension as a decimal.
Answer: Each dimension would be 21.1875 inches and 2.375 inches respectively.
Step-by-step explanation:
Since we have given that
Width of a surfboard = [tex]21\dfrac{3}{16}\ inches[/tex]
Thickness of a surfboard = [tex]2\dfrac{3}{8}\ inches[/tex]
We need to rewrite each dimension as a decimal.
We first write it in improper fraction:
Width becomes
[tex]21\dfrac{3}{16}\\\\=\dfrac{339}{16}\ inches[/tex]
Thickness becomes
[tex]2\dfrac{3}{8}\\\\=\dfrac{19}{8}\ inches[/tex]
Now, we change it into decimal form:
[tex]\dfrac{339}{16}=21.1875\ inches\\\\and\\\\\dfrac{19}{8}=2.375\ inches[/tex]
Hence, each dimension would be 21.1875 inches and 2.375 inches respectively.
An eight-month used stereo system was sold for $255.75. This was one third (1/3) the amount of what this system originally cost. What was the original cost of this set?
Which list is ordered from least to greatest?
A.
–5, –2.1, 0.3, 3.1
B.
0.3, –2.1, 3.1, –5
C.
–2.1, –5, 0.3, 3.1
D.
0.3, 3.1, –2.1, –5
List A. –5, –2.1, 0.3, 3.1, is ordered from least to greatest.
To determine which list is ordered from least to greatest, we need to compare the numerical values in each list and arrange them in ascending order. Here's a step-by-step explanation:
A. –5, –2.1, 0.3, 3.1B. 0.3, –2.1, 3.1, –5C. –2.1, –5, 0.3, 3.1D. 0.3, 3.1, –2.1, –5List A is properly ordered from least to greatest:
–5 is the smallest–2.1 is next0.3 comes after3.1 is the largestTherefore, the correct answer is: A
Adam is scuba diving he descends 5 feet below sea level he descends the same distance 4 more times what is Adams final elevation
You have a stack of pennies without counting the pennies, how can you know if there is a odd or even number of them
Suppose that you have a stack of pennies. If you want to know without counting whether there is an odd or even number of pennies, then you have to split them into two parts, for example, placing one coin left and one coin right.
If the number of pennies is even, then no coins will left, if the number is odd, then one coin will be extra.
Rudy has $200 to spend on presents for his family. If there are 6 people to buy for, and he wants to spend an equal amount on each, how much money will he have LEFT after he shops?
A)
$0.02
Eliminate
B)
$0.10
C)
$1.00
D)
$199.98
E)
$33.33
An object is traveling at a steady speed of 8 2/3 mph how long will it take the object to travel 5 1/5 miles
It will take 36 minutes for an object to travel 5 1/5 miles at a steady speed of 8 2/3 mph.
To find out how long it will take an object traveling at a steady speed of 8 2/3 mph to travel 5 1/5 miles, you can use the formula
time = distance / speed.
First, convert the mixed numbers to improper fractions:
Speed: 8 2/3 mph = (8 × 3 + 2) / 3 = 26/3 mph
Distance: 5 1/5 miles = (5 × 5 + 1) / 5 = 26/5 miles
Next, calculate the time:
Time = Distance / Speed
= (26/5) miles / (26/3) mph
= (26/5) × (3/26) hours
= 3/5 hours
To convert hours into minutes, multiply by 60:
= 3/5 hours × 60 minutes/hour
= 36 minutes
Amber and Will are in line together to buy tickets. Amber moves back by 3 place three times to talk to friends. She was invited to 5 place up in line. Will moved back by 4 place twice, and then moved up in line by 3 place. Overall, who moved farther back in line
26=8+v show your work in one step
use properties to find 4 times 23 times 25
Answer:
2300
Step-by-step explanation:
One of the performers at the circus is Zachary, the Human Cannonball. On Saturday he does three shows. His distances measure 9.2 meters, 15.5 meters, and 16.8 meters. What is the total distance Zachary flies that day?
Which graph represents the solution set of the system of inequalities? {y≤2x+1y>−2x−3
we have
[tex]y\leq 2x+1[/tex] ------> inequality A
The solution of the inequality A is the shaded area below the solid red line
see the attached figure N [tex]1[/tex]
[tex]y>-2x-3[/tex] ------> inequality B
The solution of the inequality B is the shaded area above the dotted blue line
see the attached figure N [tex]2[/tex]
therefore
The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line
see the attached figure N [tex]3[/tex]
therefore
the answer in the attached figure N [tex]3[/tex]
What is the answer to Violet has 11 rolls of pennies there are 50 pennies in each roll how many pennies does violet have all together
Last year a baseball team pay $20 per bag $12 glove, spending a total of $1,040. This year the price went up to $25 per bat and $16 per glove. The team spent $1,350 to purchase the same amount of equipment as last year. How many bats and gloves does it take purchase each year?
Whats the answer to this?
Help ASAP with this questions.
Solve for b, i.e separate b in one side and the other terms in the other side
A = ah + bh
A - ah = bh
(A - ah) / h = b
[tex]b= \frac{A-ah}{h} [/tex]
I hope that helps!
The rectangle below has an area of x^2-144 square meters and a length of x+12 meters. What expression represents the width of the rectangle?
The expression for the width of the rectangle is W = ( x - 12 )
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
We can use the formula for the area of a rectangle to find an expression for its width:
Area = length × width
The length of the rectangle is given as x + 12 meters, and the area is given as x² - 144 square meters.
We can substitute these values into the formula and solve for the width:
x² - 144 = (x + 12) × width
To solve for the width, we can divide both sides of the equation by x + 12:
width , W = (x² - 144) / (x + 12)
W = ( x + 12 ) ( x - 12 ) / ( x + 12 )
W = ( x - 12 )
Hence , the expression that represents the width of the rectangle is given by W = (x² - 144) / (x + 12) = ( x - 12 )
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3(2b+4)=6(5b+2)
please step by step
643=4 x 160+n write what n represents in the related division problem
4x+y=2
and x-y=3
Also using transitive property
Q3
Help pls.. urgent!
Which umber is greater? Square root of 220 or 14 3/4?
The number square root of 220 is greater than that of 14 3/4.
Given are two numbers.
The square root of 220 and 14 3/4.
We have to find which number is greater.
We know that :
14 3/4 = 14 + 3/4 = 14.75
Now,
14² = 196
15² = 225
So the number 220 lies between 196 and 225.
So √220 lies between 14 and 15.
Since 220 is closest to 225 which is the square of 15, the square root os 220 is more close to 15.
√220 ≈ 14.8
Hence √220 is greater.
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