Answer:
That is true, the hotter a star is the shorter of wavelength it emits and the higher. It also depends on the mass of the star because the bigger it is, the faster it fuses its hydrogen fuel. Faster burning of fuel means more energy is released and so results in higher temperatures.
Hope this helps! Good luck :)
Explanation:
Answer:
Final distance from the origin: 10.82 km. the vector points as shown in the attached image.
Angle with respect to the east: 
Explanation:
Please refer to the attached image. The cyclist's trip is indicated with the green arrows (9 km to the north followed by 6 km to the east.
So his final position is at the tip of this last vector, and indicated by the orange vector drawn form the point where the trip starts to the cyclist's final location.
We observe that this orange vector is in fact the hypotenuse of a right angle triangle, and we can estimate the distance from the origin by the Pythagorean theorem:
Notice that this is NOT the actual number of km that the cyclist pedaled to reach the final point.
Now, to find the value of the angle 
, we need to use trigonometry, and in particular the tangent function gives us the ratio between the side of the triangle "opposite" to the angle, divided the side "adjacent" to the angle:
Now we can find the value of the angle by using the arctan function:
The current initially through the fingers is : 1.5 * 10⁻⁵ amp
The current when the resistance between them drops is : 3 * 10⁻⁵ amp
<u>Given data : </u>
Voltage ( V ) = 6 V
Initial resistance ( r ) = 400,000 ohms
Final resistance ( R ) = 200,000 ohms
<h3>Determine The Current </h3>
A) initially through fingers
I = V / r
= 6 V / 400,000
= 1.5 * 10⁻⁵ amp
B) when the resistance between them drops
I = V / R
= 6 V / 200000
= 3 * 10⁻⁵ amp
Hence we can conclude that The current initially through the fingers is : 1.5 * 10⁻⁵ amp and The current when the resistance between them drops is : 3 * 10⁻⁵ amp
Learn more about current calculation : brainly.com/question/25922783
Answer: a) 5 x 10^5 kg/s b) 444 MW
Explanation:
Kinetic energy per unit mass Ke is
Ke = V^2 / 2
Ke = 3^2 / 2 = 4.5 J/kg = 0.0045 kJ/kg
Now potential energy per unit mass Pe is
Pe = g x z = 9.8 x 90 = 882.9 J/kg = 0.8829 kJ/kg
The total mechanical energy of the River per unit mass e = Ke + Pe = 0.0045 + 0.8829 = 0.88744 J/kg
M = P x V = 1000 x 500 = 5 x 10^5 kg/s
b) power generation potential of the entire river at the location Wmax = Emech = M x Emech = 500,000 x 0.88744 = 444,000kW = 444MW
Using the rotational equivalent of force:
Which is T = I*Alpha
Where: T is torque, I is the moment of inertia and Alpha is
the angular acceleration.
This is for the flywheel: J = 1/2mr^2 = 5*3^2 = 45
kgm^2
From the equation:
T = J*dω/dt
we get:
Δt = J*Δω/T = 45*8.13/110.0 = 3.326 sec
