Answer:
The Ptolemaic model of the universe <u><em>A) explained and predicted the motions of the planets with deferents and epicycles.</em></u>
Explanation:
Ptolemy of Alexandria built an explanation of the observed movements of the planets that remained in force for thirteen centuries. Ptolemy proposed a model of the Universe with the Earth in the center. In the model, the Earth remains stationary while the planets, the Moon and the Sun describe complicated orbits around it. In other words, Ptolemy devised a system in which he used epicycles, deferential and eccentric, and it was necessary to introduce an equating point to reproduce planetary movements. He proposed that:
a) Each planet revolves with constant velocity around a circle called an epicycle.
b) The center of the epicycle is located and moves with constant velocity around another circle called deferential.
c) The center of the deferent is located at a moving point, which travels with constant speed describing another circumference called eccentric.
d) The center of the eccentric coincides with the center of the Universe.
e) Since the Earth is not located in the center of the Universe, but very close to it, it was necessary to introduce an equating point, which is not on Earth, and from which you can see the planet move with constant speed.
However, Ptolemy put forward this geometric theory to explain mathematically the movements and failed to adjust any system of cycles, epicycles and eccentrics that accurately represented the observed movements of the planets.
Finally, <u><em>The Ptolemaic model of the universe A) explained and predicted the motions of the planets with deferents and epicycles.</em></u>
Answer:
The radius of the cable is 0.0083 m or 8.3 mm.
Explanation:
The resistance of copper cable of 1 meter length will be given by
.... (i)
where the resistivity of copper is
, and l is the length of the wire which is considered to be 1m, and a is the cross sectional area of the wire in
.
From the formula of power we know that,
.... (ii)
Therefore 2 W/m =
.... (iii)
where the resistance,R, actually means the resistance of the cable per meter.
Therefore R ( resistance of cable per meter)
=
ohms / meter. .... (iv)
Therefore from (i)
=
..... (v)
where cross sectional area of the cable, a =
,
where r is the radius of the cable, and length of cable,l = 1m.
Therefore r = 
Answer: 4 ft/s
Explanation:
Given
height of man
speed of person 
height if street light
Let x be the distance between person and street light and y be the length of his shadow
From diagram
as the two triangle ADE and ABC are similar therefore we can say that




differentiate above Equation w.r.t time we get


Answer: current I = 0.5 A
Explanation:
Given that the
Potential difference V = 10V
Resistance R = 20 ohms
According to ohms law
V = IR
Where
V = potential difference
I = current
R = resistance
Make I the subject of formula
I = V/R
I = 10/20
I = 0.5 Ampere