Answer:
do you still need an answer
Explanation:
because if you are i could give it to you
Answer:
0.5
Explanation:
The energy of a charged capacitor is given by 
where 
is the charge on it and 
is its capacitance. The capacitance is defined, geometrically, as
where 
is a constant that is determined by the material between the plates, 
is the area of the plates and 
is the distance between them. It is then that the capacitance is linearly inversely proportional to the separation distance; as the distance increases, the capacitance reduces.
Because it is linear, when the separation distance is doubled, other factors remaining constant, the capacitance is halved. Because the capacitance is halved, the energy is halved.
Let's see the mathematics.
Initial capacitance, 
at initial separation, 
If separation is doubled, separation becomes 
. Then the capacitance becomes
Initial energy, 
Final energy, 
Hence, 
Assuming constant acceleration due to gravity of 
, and assuming the passengers start at rest, so that 
, we have
or 54 m/s if taking significant digits into account.
Answer:
the <em>ratio F1/F2 = 1/2</em>
the <em>ratio a1/a2 = 1</em>
Explanation:
The force that both satellites experience is:
F1 = G M_e m1 / r² and
F2 = G M_e m2 / r²
where
- m1 is the mass of satellite 1
- m2 is the mass of satellite 2
- r is the orbital radius
- M_e is the mass of Earth
Therefore,
F1/F2 = [G M_e m1 / r²] / [G M_e m2 / r²]
F1/F2 = [G M_e m1 / r²] × [r² / G M_e m2]
F1/F2 = m1/m2
F1/F2 = 1000/2000
<em>F1/F2 = 1/2</em>
The other force that the two satellites experience is the centripetal force. Therefore,
F1c = m1 v² / r and
F2c = m2 v² / r
where
- m1 is the mass of satellite 1
- m2 is the mass of satellite 2
- v is the orbital velocity
- r is the orbital velocity
Thus,
a1 = v² / r ⇒ v² = r a1 and
a2 = v² / r ⇒ v² = r a2
Therefore,
F1c = m1 a1 r / r = m1 a1
F2c = m2 a2 r / r = m2 a2
In order for the satellites to stay in orbit, the gravitational force must equal the centripetal force. Thus,
F1 = F1c
G M_e m1 / r² = m1 a1
a1 = G M_e / r²
also
a2 = G M_e / r²
Thus,
a1/a2 = [G M_e / r²] / [G M_e / r²]
<em>a1/a2 = 1</em>
Answer:
= 15 m/s
Explanation:
Considering right side(west) as positive x-axis and south as negative y-axis.
velocity of boat in still water 
velocity of stream 
now relative velocity of boat w.r.t. stream 
this velocity with which ac distance will be covered.
therefore magnitude of 
= 15 m/s
