m = mass of the person = 80 kg
M = mass of earth = 5.98 x 10²⁴ kg
R = radius of earth = 6.37 x 10⁶ m
h = height above the earth's surface = 1400 km = 1.4 x 10⁶ m
r₁ = initial distance of the person from the center of earth when on surface = R = 6.37 x 10⁶ m
r₂ = final distance of the person from the center of earth when at some height = R + h = 6.37 x 10⁶ + 1.4 x 10⁶ = 7.77 x 10⁶ m
F₁ = Gravitational force of earth on the person when at surface
Gravitational force of earth on the person when at surface is given as
F₁ = G M m/r₁² eq-1
F₂ = Gravitational force of earth on the person when at some height
Gravitational force of earth on the person when at some height is given as
F₂ = G M m/r₂² eq-2
dividing eq-1 by eq-2
F₁ /F₂ = (G M m/r₁² )/(G M m/r₂²)
F₁ /F₂ = r₂²/r₁²
inserting the values
F₁ /F₂ = (7.77 x 10⁶)²/(6.37 x 10⁶)²
F₁ /F₂ = 1.49
Answer:
The correct answer is <u><em>C. Homeostasis</em></u>
Explanation:
<u><em>Homeostasis</em></u> describes the relatively constant internal physical conditions of an organism.
If an ac generator consists of 6 turns of wire. Each turn has an area of 0. 010 m2. the loop rotates in a uniform field (b = 0. 20 t) at a constant frequency of 40 hz. The maximum induced emf is 0.048 volt.
Given,
Number of turns (N) = 6
Area of each turn (A) 
Magnetic field (B) = 0.2 T
The loop rotates at a constant frequency of 40 Hz
Thus angular frequency of rotation (ω) = 40 Hz
∴ The maximum induced emf,
ε = NABω
⇒ ε= 6×0.01×0.02×40 = 0.048 volt
∴The maximum induced emf in ac generator is 0.048 volt.
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From the statement in the question, the resultant force is 3N downward.
<h3>What is the resultant force?</h3>
The term resultant force refers to a single force that will an effect tat is the same as that of the system of forces acting together.
Thus, if the upward force is 15 N and the downward force is 18 N, the resultant force will be; 18 N - 15 N = 3N downward.
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Answer:
Explanation:
By conservation of energy, speed of the ball going up = speed of ball coming down with the ball stops at the top.
Because the gravity acceleration is constant, by symmetry, half of total time, 6/2 = 3s, is for going up and the last 3s for coming down.
Consider the last 3s when the ball drops from top to bottom, the initial velocity = 0 and acceleration = 10m/s^2
distance traveled = initial velocity * time + 1/2 * acceleration * time^2
= 0*3 + 1/2*10*3^2
= 5*9
= 45m
So maximum height of the ball is 45m.
