This question involves the concepts of the time period, orbital radius, and gravitational constant.
The distance of the satellite above the Earth's Surface is "10400 km ".
The theoretical time period of the satellite around the earth can be found using the following formula:
where,
T = Time Period of Satellite = 
R = Orbital Radius = ?
G = Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
M = Mass of Earth = 5.97 x 10²⁴ kg
Therefore,
![\frac{(21600\ s)^2}{R^3}=\frac{4\pi^2}{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(5.97\ x\ 10^{24}\ kg)}\\\\R = \sqrt[3]{\frac{4.66\ x\ 10^8\ s^2}{9.91\ x\ 10^{-14}\ s^2/m^3}} \\R = 1.675\ x\ 10^7\ m = 1.68\ x\ 10^4\ km](https://tex.z-dn.net/?f=%5Cfrac%7B%2821600%5C%20s%29%5E2%7D%7BR%5E3%7D%3D%5Cfrac%7B4%5Cpi%5E2%7D%7B%286.67%5C%20x%5C%2010%5E%7B-11%7D%5C%20N.m%5E2%2Fkg%5E2%29%285.97%5C%20x%5C%2010%5E%7B24%7D%5C%20kg%29%7D%5C%5C%5C%5CR%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B4.66%5C%20x%5C%2010%5E8%5C%20s%5E2%7D%7B9.91%5C%20x%5C%2010%5E%7B-14%7D%5C%20s%5E2%2Fm%5E3%7D%7D%20%5C%5CR%20%3D%201.675%5C%20x%5C%2010%5E7%5C%20m%20%3D%201.68%5C%20x%5C%2010%5E4%5C%20km)
Now, this orbital radius is the sum of the radius of the earth (r) and the distance of satellite above earth's (h) surface:
R = r + h
1.68 x 10⁴ km = 0.64 x 10⁴ km + h
h = 1.68 x 10⁴ km - 0.64 x 10⁴ km
<u>h = 1.04 x 10⁴ km = 10400 km</u>
Learn more about the orbital time period here:
brainly.com/question/14494804?referrer=searchResults
The attached picture shows the derivation of the formula for orbital speed.
Answer: D - The electron will move in a counterclockwise circular path if viewed in the direction of the magnetic field.
Explanation:
When the electron enters the field at an angle to the field direction the resulting path of the electron will be helical. Such motion occurs above the poles of the Earth where charges particles from the Sun spiral through the Earth's field to produce the aurorae.
Magnetic force on an electron = BILsinØ = B[e/t][vt] = BevØ
where v is the electron velocity
In a magnetic field the force is always at right angles to the motion of the electron (Fleming's left hand rule) and so the resulting path of the electron is circular.
Answer:
4.2 km
Explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as isosceles triangle, scalene triangle, equilateral triangle and right angled triangle.
Sine rule states that for a triangle with angles A,B and C and corresponding opposite sides a, b, and c, the following formula holds:
Let the starting point be A, hence the side opposite to the angle = a = distance travelled in north east direction.
Let the point of 60° of northeast be B = 90° + (90° - 60°) = 120°, hence the side opposite to the angle = b = resultant displacement = 8 km.
Let C be the endpoint, hence the side opposite to the angle = c = distance travelled north = 5 km
Using sine rule:
∠A + ∠B + ∠C = 180° (sum of angle in a triangle)
∠A + 120 + 32.8 = 180
∠A = 27.2°
Therefore she travelled 4.2 km in the north east direction
<u>Explanation:</u>
In other to avoid a situation where their differences, pride, and personalities caused them to compete and publicly insult one another instead of working together they need to respectfully consider the viewpoints of each other, as well as assign individual roles that should be respected.
The relationship between force and extension is a linear one, which means that if you plot a force vs. extension graph, you'll get a straight line. It will pass through the origin (x = 0; F = 0), and its slope will be equal to the spring constant, k.
Measure the Slope of the Force Extension Graph
In general, you can find the slope of a line by choosing two points and forming a ratio of the rise and the run between these two points. If the first point you choose is (x1, F1), and the second point is (x2, F2), the slope of the line is:
slope= f(2)- f(1)
---------
x(2)-x(1)
Assuming F2 is larger than F1.
This is the value of the spring constant, k. Despite the minus sign in the Hooke's law equation, k is a positive number, because the slope in the Hooke's law graph is positive.
Note that the spring constant has units of force/distance. In the MKS system, the spring constant units are newtons/meter. In the CGS system, they are dynes/centimeter. In the imperial system, they are pounds of force (lbf) /foot.
Now that you have the spring constant, you can predict exactly how much the spring will distend or compress when you subject it to any force.
