Since distances in the universe are incredible big, astronomers use Astronomical units, which the distance between the sun and the earth, to simplify calculations.
The Astronomical unit AU is the Earth’s average distance from the Sun. 1 AU is equivalent to 149,598,000 km or <span>92,955,807.273026 miles.
We can conclude that Astronomical units is the unit of measure that will be used to calculate the distance </span>between Venus and Earth.
Answer:
Therefore maximum stretch is y2 = 32.36 m
Explanation:
In this problem let's use the initial data to find the string constant, let's apply Newton's second law when in equilibrium
- W = 0
k Δx = mg
k = mg / Δx
k = 80 9.8 / (30-20)
k = 78.4 N / m
now let's use conservation of energy to find the velocity of the body just as the string starts to stretch y = 20 m
starting point. When will you jump
Em₀ = U = mg y
final point. Just when the rope starts to stretch
= K = ½ m v²
Em₀ = Em_{f}
mg y = ½ m v²
v = √ 2g y
v = √ (2 9.8 20)
v = 19.8 m / s
now all kinetic energy is transformed into elastic energy
starting point
Em₀ = K = ½ m v²
final point
Em_{f} = + U = ½ k y² + m g y
Emo = Em_{f}
½ m v² = ½ k y² + mgy
k y² + 2 m g y - m v² = 0
we substitute the values and solve the quadratic equation
78.4 y² + 2 80 9.8 y - 80 19.8² = 0
78.4 y² + 1568 y - 31363.2 = 0
y² + 20 y - 400 = 0
y = [- 20 ±√ (20 2 +4 400)] / 2
y = [-20 ± 44.72] / 2
the solutions are
y₁ = 12.36 m
y₂ = 32.36 m
These solutions correspond to the maximum stretch and its rebound.
Therefore maximum stretch is y2 = 32.36 m
Answer:
Fluorine is the 9th element of the periodic table. If its Neutral... It'll have an atomic mass of 19. Also Since its neutral... Number of protons and Electrons will be the same which is 9. Now the Neutron number is the Mass number - The atomic no = 19-9 = 10Neutrons
A group of protons and neutrons surrounded by electrons