Answer:
f = 6.66 cm
Explanation:
For this exercise we will use the constructor equation
1 / f = 1 / p + 1 / q
where f is the focal length, p is the distance to the object and q is the distance to the image
the expression for magnification is
m = h '/ h = - q / p
with this we have a system of two equations with two unknowns, in the problem they give us the distance to the image q = 10 cm and a magnification of m = -0.5
-0.5 = - q / p
p = - q / 0.5
p = - 10 / 0.5
p = 20 cm
now we can with the other equation look for the focal length
1 / f = 1/20 + 1/10
1 / f = 0.15
f = 6.66 cm
Answer:
First of all, it is just a symbol for the concept of growing without bound. Instead of saying "let x (or n) grow without bound", mathematicians often say "let x (or n) tend to infinity" or "as x (or n) tends to infinity". There is a special shorthand for this, too: x → ∞ (or n → ∞).
Explanation:
Answer:
I think its dense and solid and located near a star.
Explanation:
Hope this helps, good luck.
Answer:
a) 202.7 N
b) 58.1 N
c) 74.1º N of E.
d) 210.9 N
Explanation:
a)
- The net force exerted in the y-direction, will be the sum of FH (which is directed northwards) and the y-component of FA.
- Since the magnitude of FA is 155 N and the angle of FA with the y-axis, is 22º (E of N), we can find the N-S component of FA, just applying the the definition of cosine, to the triangle defined by FA, the y- axis and a segment parallel to the x- axis between FA and the y-axis, as follows:
⇒ Fy = FH + FAy = 59 N + 143.7 N = 202.7 N (2)
b)
- We can proceed exactly in the same way for the x-axis.
- Since FH is directed due North, it has no component along the x-axis.
- So, Fx is directly the component of FA along the x-axis, which can be found applying the definition of sine to the same triangle than in a) as follows:
c)
- Taking the same triangle than in a) and b), we can apply the definition of tangent, in order to find the angle between F and the x-axis, as follows:
⇒ θ = tg⁻¹ (3.5) = 74.1º N of E. (5)
d)
- In order to be equal and opposite to the combined force FH+FA, it must have the same magnitude.
- This magnitude can be found applying the Pythagorean Theorem to the same triangle that we used in a), b) and c):
here's your answer dear friend❤❤❤❤