The previously accepted theory that was proven incorrect is the Geocentric Theory, which placed Earth at the center of the universe. This idea was introduced by philosopher Ptolemy. He formulated this hypothesis based on his observations that celestial bodies such as the Sun, stars, and the moon appeared to move around Earth from our vantage point. However, Galileo Galilei contradicted this notion with his Heliocentric Theory. He used a telescope to observe that Venus undergoes phases, akin to the moon, leading him to conclude that the alignment of Venus, Earth, Moon, and Sun did not support the earlier theory.
Answer:
d = 2021.6 km
Explanation:
This distance problem can be solved using vector analysis; it's best to find each plane's position components before applying the Pythagorean theorem to calculate the separation between them.
For Airplane 1:
Height y₁ = 800m
Angle θ = 25°
cos 25 = x / r
sin 25 = z / r
x₁ = r cos 20
z₁ = r sin 25
x₁ = 18 103 cos 25 = 16,314 103 m = 16314 m
z₁ = 18 103 sin 25 = 7,607 103 m = 7607 m
For Plane 2:
Height y₂ = 1100 m
Angle θ = 20°
x₂ = 20 103 cos 25 = 18.126 103 m = 18126 m
z₂ = 20 103 sin 25 = 8.452 103 m = 8452 m
To determine the distance between the planes using the Pythagorean theorem:
d² = (x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²2
Now, we perform the calculations:
d² = (18126-16314)² + (1100-800)² + (8452-7607)²
d² = 3,283 106 + 9 104 + 7,140 105
d² = (328.3 + 9 + 71.40) 10⁴
d = √(408.7 10⁴)
d = 20,216 10² m
d = 2021.6 km
Answer:
0.0031 m
Explanation:
y = Length of pixel = 281 μm
L = Distance to screen = 1.3 m
= Wavelength = 550 nm
d = Pupil diameter
= Angle
We have the expression
We have the expression
The pupil diameter calculates to 0.0031 m
Based on my findings, within a period of 2 hours, there are certain atoms remaining.
N = N0 * 2^(-t/6.020) = N = N0 * 2^-0.33223 = 0.7943 N0
Thus, the quantity of atoms that undergo disintegration is N0 - N = N0 * (1 - 0.79430) = 0.2057 N0
This must equate to 15 mCi = 15 * 3.7 * 10^7 = 5.55 * 10^8 atoms
N0 = 5.55 * 10^8 / 0.2057 = 2.698 * 10^9 atoms
Consequently, 2.698 * 10^9 atoms represents the value of N0.
<span>We will apply the momentum-impulse theorem here. The total momentum along the x-direction is defined as p_(f) = p_(1) + p_(2) + p_(3) = 0.
Therefore, p_(1x) = m1v1 = 0.2 * 2 = 0.4. Additionally, p_(2x) = m2v2 = 0 and p_(3x) = m3v3 = 0.1 *v3, where v3 represents the unknown speed and m3 signifies the mass of the third object, which has an unspecified velocity.
In the same way, for the particle of 235g, the y-component of the total momentum is described with p_(fy) = p_(1y) + p_(2y) + p_(3y) = 0.
Thus, p_(1y) = 0, p_(2y) = m2v2 = 0.235 * 1.5 = 0.3525 and p_(3y) = m3v3 = 0.1 * v3, where m3 is the mass of the third piece.
Consequently, p_(fx) = p_(1x) + p_(2x) + p_(3x) = 0.4 + 0.1v3; yielding v3 = 0.4/-0.1 = - 4.
Similarly, p_(fy) = 0.3525 + 0.1v3; thus v3 = - 0.3525/0.1 = -3.525.
Therefore, the x-component of the speed of the third piece is v_3x = -4 and the y-component is v_3y = 3.525.
The overall speed is calculated as follows: resultant = âš (-4)^2 + (-3.525)^2 = 5.335</span>
