Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p
a. 1/2
b. 2 times
c. 1/4
d. 4 times
Answer:
4 times
Step-by-step explanation:
Given the following :
Distance between q and S (r) = 1 unit
Distance between P and S (r) = 2 × 1 unit = 2
According to coliumbs law:
F = Ke(q1q2) /r^2
Where F = electrostatic force, Ke = coloumbs constant
q1,q2 = charges, r = distance between two charges
For q and S :
Fsq = Ke(q1q2) / 1^2
Fsq = Ke(q1q2) - - - - - equation 1
For P and S :
Fsp = Ke(q1q2) / 2^2
Fsp = Ke(q1q2) / 4 - - - - - equation 2
Dibiding equation 1 by equation 2
Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4
Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)
Fsq / Fsp = 4 / 1
Using cross multiplication
Therefore, Fsq = 4 × Fsp
Answer:
6 cups of blue paint
Step-by-step explanation:
The ratio can be written like this:
2:3 = x:9
9/3 = 3
3*2 = 6
x=6, so the answer is 6 cups of blue paint.
Answer:
C
Explanation:
You could solve this in the elimination way that I have been done in here.
I use Jason as an example that he paid $11.84 for 5t ( tacos ) + 1q ( quesadilla )
Therefore we could do the elimination if the taco cost 3.45 x 5 = 17.25, would be over the cost.
-> Cross B answer
Then we take 1.57 x 5 = 7.85. 11.84 - 7.85 = 3.99, which it is not 3.39 => Cross D answer.
Therefore the cost of tacos need to be 1.69 because there have been a repetition in both A& C
1.69 x 5 = 8.45. $11.84 - 8.45 = $3.39 for quesadillas.
Which it proves for the answer is C
Hope I have helping you on this question
Answer:
Step-by-step explanation:(a)
1.65p+1.36j=118.17 and p+j=79
We can say p=79-j and sub this value in first equation
1.65(79-j)+1.36j=118.17
130.35-1.65j+1.36j=118.17
-0.29=-12.18
j=42, p=79-j, p=79-42=37
(b)
1.65(37)=61.05 and 1.36(42)=57.12
Sanchez class earned more selling pies.
(c)
61.05-57.12=3.93
So Sanchez class made $3.93 more than Kelley class.
The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
3x^2