65:100 because there are 65 girls and then 65 girls + 35 boys = 100 total students
Answer:
-2x^10
Step-by-step explanation:
-8x^7 x^3/4 - -8x^10/4
Answer:
D. 3900π
Step-by-step explanation:
volume = 1/3 πr²h ... r = 30, h = 13
v = 1/3 * 30² * 13 * π = 3900π
Answer 1
By definition of the coulomb law we have that the force between two charges is given by
F12 = K (q1 * q2) / (r ^ 2)
where
K = 9 * 10 ^ 9 [N.m ^ 2 / C ^ 2] (constant)
q1 = load 1 [C]
q2 = load 2 [C]
r = distance between charges [m]
Substituting the values we have
F12 = (9000000000) * ((- 2.10E-06) * (6.70E-06) / ((0.067) ^ 2))
F12 = -28.2N
answer 2
In this case the value of r will be given by
ROOT ((0.067) ^ 2 + (0.028) ^ 2) = 0.0726 m
Then, the net force will be given by
F12 = (9000000000) * ((- 2.10E-06) * (6.70E-06) / ((0.0726) ^ 2))
F12 = -24.01
The horizontal component of this force is
F12x = F12 (x / r) = - 24.01 (0.067 / 0.072)
F12x = -22.2N
The answer is -22.2N
answer 3
For this case we have by sum of forces that
F2N = F12 + F32
where
F2N = 8,005 N
F12 = -24.01 N
Clearing F32
F32 = F2N + F12 = (8.005) - (- 24.01) = 32.01N
Then, by definition
F32 = K (q2 * q3) / (r ^ 2)
clearing q3
q3 = (F32 (r ^ 2)) / (K * q2)
substituting
q3 = ((32.01) ((0.0726 / 2) ^ 2)) / ((9000000000) * (6.70E-06))
q3 = 1.4E-06 C
the answer is 1.4E-06 C (+)
