For this case what we should do is use the given equation:
F = mg sin (theta)
And replace the following values:
m = 0.01 kg
g = 9.8m / s ^ 2
theta = 22.5 degrees
Substituting we have:
F = (0.01) * (9.8) * sin (22.5)
F = 0.037502976 N
Answer:
The force pulling on the pendulum when it makes a 22.5 degree angle with the vertical is:
F = 0.037502976 N
<h3>
Answer: 17</h3>
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Work Shown:
a1 = 3 = first term
d = 2 = common difference (since we add 2 to each term to get the next one)
Let's compute the nth term.
an = a1 + (n-1)*d
an = 3 + (n-1)*2
an = 3 + 2n-2
an = 2n+1
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To check things so far, we can plug in something like n = 2
an = 2n+1
a2 = 2*2+1
a2 = 5
Showing that the 2nd term is 5, which matches with the sequence given to us
Let's check n = 3
an = 2n+1
a3 = 2*3+1
a3 = 7
That matches as well. I'll let you check the others.
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Plug in n = 8 to find the 8th term
an = 2n+1
a8 = 2*8+1
a8 = 17
The eighth term is 17, which is the final answer.
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You could extend out the given sequence by adding 2 each time until you reach the 8th term
3,5,7,9,11,13,15,17
Though this method is slow if you need to find say the 38th term
Answer:
1/2
Step-by-step explanation:
The radius is 1/2 of the diameter
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 10
Factor by using the rational roots test, and find that -2 is a root.
Replace X with -2 and simplify each term.
Divide the polynomial by (x+2)
The final answer becomes x = -2 and x = -1/2 +/-√3/2i
The first choice is the correct one.
