Answer:
Nicholas' speed: 61.9772 miles/hour
current's speed: 6.8864 miles/hour
Explanation:
Let's call Nicholas's speed "x", and the current speed "y".
Going downstream, the total speed is x+y, and we can formulate the equation:
(x+y)*44 = 3030 -> x+y = 68.8636 miles/hour
Going upstream, the total speed is x-y, and we can formulate the equation:
(x-y)*55 = 3030 -> x-y = 55.0909 miles/hour
If we sum both equations, we have that:
2x = 123.9545
x = 61.9772 miles/hour
Now, to know the current speed, we just apply "x" value in one of the equations:
x+y = 68.8636 -> 61.9772 + y = 68.8636 -> y = 6.8864 miles/hour
<em> </em><em> </em><em>62.125</em>
<em>=</em><em> </em><em>62.12</em>
<em>THANK</em><em> </em><em>you</em><em> </em>
The cause of electric current in a wire is that there is electron flow due to electrical attraction and repulsion.
What is Electric current?
The rate of flow of electric charge through a point is known as electric current. The electric current is nothing but the flow of electrons in general.
Consider a space, when electrons of charge (e) is flowing through the space in a given time interval t. Then,
I = e/t
here,
I is the electric current.
Moreover, there is a flow of electrons in a wire due to a potential difference existing at the circuit. Due to that, electrons always flow from high electric potential to low electric potential.
Thus, we can conclude that the cause of electric current in a wire is that there is electron flow due to electrical attraction and repulsion.
Learn more about the electric current here:
brainly.com/question/7643273
Answer:
a) The Energy added should be 484.438 MJ
b) The Kinetic Energy change is -484.438 MJ
c) The Potential Energy change is 968.907 MJ
Explanation:
Let 'm' be the mass of the satellite , 'M'(6×
be the mass of earth , 'R'(6400 Km) be the radius of the earth , 'h' be the altitude of the satellite and 'G' (6.67×
N/m) be the universal constant of gravitation.
We know that the orbital velocity(v) for a satellite -
v=
[(R+h) is the distance of the satellite from the center of the earth ]
Total Energy(E) = Kinetic Energy(KE) + Potential Energy(PE)
For initial conditions ,
h =
= 98 km = 98000 m
∴Initial Energy (
) =
m
+
Substituting v=
in the above equation and simplifying we get,
= 
Similarly for final condition,
h=
= 198km = 198000 m
∴Final Energy(
) = 
a) The energy that should be added should be the difference in the energy of initial and final states -
∴ ΔE =
- 
=
(
-
)
Substituting ,
M = 6 ×
kg
m = 1036 kg
G = 6.67 × 
R = 6400000 m
= 98000 m
= 198000 m
We get ,
ΔE = 484.438 MJ
b) Change in Kinetic Energy (ΔKE) =
m[
-
]
=
[
-
]
= -ΔE
= - 484.438 MJ
c) Change in Potential Energy (ΔPE) = GMm[
-
]
= 2ΔE
= 968.907 MJ
Gravity is the attraction of every body to every other body due to the masses of each body. The larger the mass, the greater the force. It also depends on the distances: the closer the bodies, the greater the force. Gravity is directed toward the center of a body, and the distance is measured from the center.
When objects fall to the ground, gravity causes them to accelerate. Acceleration is a change in velocity, and velocity, in turn, is a measure of the speed and direction of motion. Gravity causes an object to fall toward the ground at a faster and faster velocity the longer the object falls.