Explanation:
The given data is as follows.
Temperature of metal = 
= (296 + 273) K
= 569 K
Density of the metal = 8.85 
= 
(as 
)
Atomic mass = 51.40 g/mol
Vacancies = 
Formula to calculate the number of atomic sites is as follows.
n = 
= 
= 
Now, we will calculate the energy as follows.
E = 
where, K = 
E = 
= 
Therefore, we can conclude that energy (in eV/atom) for vacancy formation in given metal, M, is .
Answer:
v₀ₓ = 63.5 m/s
v₀y = 54.2 m/s
Explanation:
First we find the net launch velocity of projectile. For that purpose, we use the formula of kinetic energy:
K.E = (0.5)(mv₀²)
where,
K.E = initial kinetic energy of projectile = 1430 J
m = mass of projectile = 0.41 kg
v₀ = launch velocity of projectile = ?
Therefore,
1430 J = (0.5)(0.41)v₀²
v₀ = √(6975.6 m²/s²)
v₀ = 83.5 m/s
Now, we find the launching angle, by using formula for maximum height of projectile:
h = v₀² Sin²θ/2g
where,
h = height of projectile = 150 m
g = 9.8 m/s²
θ = launch angle
Therefore,
150 m = (83.5 m/s)²Sin²θ/(2)(9.8 m/s²)
Sin θ = √(0.4216)
θ = Sin⁻¹ (0.6493)
θ = 40.5°
Now, we find the components of launch velocity:
x- component = v₀ₓ = v₀Cosθ = (83.5 m/s) Cos(40.5°)
<u>v₀ₓ = 63.5 m/s</u>
y- component = v₀y = v₀Sinθ = (83.5 m/s) Sin(40.5°)
<u>v₀y = 54.2 m/s</u>
The average current density is 7.6 × 10⁵ A/m².
To calculate the current density current will be 2.4 A.
Diameter of a wire = 2mm.
The cross-sectional area of the wire is given by r = d/2
where r is the radius of the wire.
Then, the cross-sectional area is = 0.00000314159265
= 3.1 × 10⁻⁶ m².
<h3>
What is average current density?</h3>
Consider a current carrying conductor, the current density depends upon the current flow in the conductor. If the current flow in the conductor will be high then the current density will also be high. Using the average current flowing through the conductor, the average current density will be found.
Average current density j = I / A Ampere/ meter².
By substituting the values in the formula,
j = 2.4 / ( 3.1 × 10⁻⁶)
= 7.6 × 10⁵ A/m².
Hence, the current density can be calculated.
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Answer:
1300 rad (
)
Explanation:
The angular speed of an object is the rate of change of angular position.
It is given by:
where
is the angular speed
is the angular displacement of the object
t is the time elapsed
For the propeller rotating in this problem, we have
is the angular speed
t = 5.0 s is the time elapsed
Therefore, the angular displacement is:
And since 
, the angle in degrees is
Biodiversity is the variety of life in the world or in a particular habitat or ecosystem. destruction, degradation and fragmentation of habitats. reduction of individual survival and reproductive rates through exploitation, pollution and introduction of alien species. Those are the negative impacts
