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Varvara68 [4.7K]
3 years ago
14

How can we mathematically express Newton's law of gravity? (In the following, F is the force of Gravity, G is a constant; m and

M are the masses or two bodies (such as the Earth and the Sun); and r is the distance between the centers of mass of the two bodies.)

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0

the solution is in the attachment

WITCHER [35]3 years ago
7 0

Answer:

Step-by-step explanation:

Force of gravitational attraction, Fg = GMm/r^2

Where,

G = gravitational constant

M = mass of object 1

m = mass of object 2

r = distance between the point masses.

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tom had a platter of chocolate wafers. he ate 5 of them and then gave his brother 3 he then moved on to his baseball team of 8 m
Aloiza [94]

Tom started with total 72 chocolate wafers.

<u><em>Explanation</em></u>

The number of chocolate wafers taken by 8 members of the baseball team are in the sequence :  1, 3,5,7,9,11,13,15

The above sequence is <u>arithmetic sequence</u> with first term(a₁)= 1 and common difference (d) = 2

<u>Formula for Sum</u> of first n terms in arithmetic sequence is....

S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]

So, the Sum of 8 terms in that sequence....

S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64

That means, the total number of chocolate wafers taken by the baseball team members is 64.  Tom ate 5 and then gave his brother 3 chocolate wafers at first.

So, the total number of chocolate wafers at starting =64+5+3=72

6 0
3 years ago
A lawyer drives from her​ home, located 2 miles east and 3 miles north of the town​ courthouse, to her​ office, located 5 miles
LekaFEV [45]
Let <span>the town​ courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} to get the <span>distance between lawyer's home and office:
</span><span>
</span><span /> d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=
=\sqrt{7^2+24^2}  =  \sqrt{49+576} =  \sqrt{625} =25.
Answer: 25 miles.

7 0
3 years ago
Find the perimeter
BlackZzzverrR [31]

Answer:

p=X^2+4x

aaaaaaaa is corect a

3 0
3 years ago
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Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x rep
Ksenya-84 [330]

Answer:

<h2>1.5</h2>

Step-by-step explanation:

We are given two points. Let the points be A and B

A ( 8 , -2 ) ------> ( x1 , y1 )

B ( 12 , 4 ) ------> ( x2 , y2 )

Now, let's find the slope of the given points:

slope \:  =  \frac{y2 - y1}{x2 - x1}

plug the values

=  \frac{4 - ( -2)}{12 - 8}

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

=  \frac{4 + 2}{12 - 8}

Subtract the numbers

=  \frac{4  + 2}{4}

Add the numbers

=  \frac{6}{4}

Reduce the fraction with 2

=  \frac{3}{2}

= 1.5

Hope this helps..

Best regards!!

8 0
3 years ago
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Im having trouble. can someone please help me with this !
VladimirAG [237]

Answer:

28

Step-by-step explanation:

5 0
2 years ago
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