Answer:

Step-by-step explanation:
According to universal law of gravitation every object in the universe attracts every other particles that surrounds it with a force which is inversely proportional to the square of their distance of separation & directly proportional to
the product of their masses, given by standard formula.

where A,d & G are force of attraction, distance of separation & proportionality constant respectively.
<em>Given:</em>
A1 = 2 units
d1= 5 cm
A2 = 8 units
<em>To find:</em>
Distance of separation when the force of attraction is 8 units d2 = ?
<em>Solution:</em>
Substituting the given values in above at each point,

<em>Answer:</em><em> </em><em>the distance between the two </em><em>objects </em><em>is </em><em>2</em><em>.</em><em>5</em><em> </em><em>cm</em><em>, if the attraction between them is 8 </em><em>units.</em>
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Answer:
D
Step-by-step explanation:
A table shows a proportional relationship if all of the y/x ratios are the same.
A: 4/3 ≠ 10/6 . . . . not proportional
B: 6/12 ≠ 12/14 . . . . not proportional
C: 2/4 ≠ 20/20 . . . . not proportional
D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship
To solve this question, we first need to layout the equation
-2 1/2 -(-1 3/4)
Step 1
-2 1/2-(-1 3/4) ... Equation
Step 2
5/2-(-1 3/4) ... Converted to improper fraction
Step 3
5/2-(-7/4) ... converted to improper fraction
Step 4
5/2--7/4 ... Got rid of parenthesis
Step 5
-3/4 ... Subtract
Answer:
-3/4 ... Answer
So the answer for this problem is C, -3/4
k/2+1/2=3
Move +1/2 to the other side. Sign changes from +1/2 to -1/2
k/2+1/2-1/2=3-1/2
k/2=3-1/2
Find the common denominator for 3 and -1/2.
Common denominator is 2
k/2=3(2)-1/2
k/2= 6/2-1/2
k/2=5/2
Multiply k/2 with 2. Multiply 2 with 5/2
k/2 (2/1)=2(5/2)
Cross out 2 and 2. Divide by 2. Cross out 2 and 2 for 5/2(2). Divide by 2
k=5