Explanation:
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Answer:
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Explanation:
a) the capacitance is given of a plate capacitor is given by:
C = \epsilon_0*(A/d)
Where \epsilon_0 is a constant that represents the insulator between the plates (in this case air, \epsilon_0 = 8.84*10^(-12) F/m), A is the plate's area and d is the distance between the plates. So we have:
The plates are squares so their area is given by:
A = L^2 = 0.19^2 = 0.0361 m^2
C = 8.84*10^(-12)*(0.0361/0.0077) = 8.84*10^(-12) * 4.6883 = 41.444*10^(-12) F
b) The charge on the plates is given by the product of the capacitance by the voltage applied to it:
Q = C*V = 41.444*10^(-12)*120 = 4973.361 * 10^(-12) C = 4.973 * 10^(-9) C
c) The electric field on a capacitor is given by:
E = Q/(A*\epsilon_0) = [4.973*10^(-9)]/[0.0361*8.84*10^(-12)]
E = [4.973*10^(-9)]/[0.3191*10^(-12)] = 15.58*10^(3) V/m
d) The energy stored on the capacitor is given by:
W = 0.5*(C*V^2) = 0.5*[41.444*10^(-12) * (120)^2] = 298396.8*10^(-12) = 0.298 * 10 ^6 J
Given:
Mass(m)=75kg
Height (h) =100m
v(velocity)=60m/s
a(g)=9.8m/s^2(since it is a free falling object)
Now we know that
v=u+at
We know that
Potential energy=mgh
Where m is the mass
g is the acceleration due to gravity
h is the height above the ground
Substituting the above values we get
Potential energy=75 x 9.8 x 100
=73500N
Now kinetic energy =1/2mv^2
Where m is the mass
v is the velocity
Kinetic energy= 1/2 (75x60 x 60)
Kinetic energy=135000N
Now mechanical energy=
Kinetic energy+ Potential energy
Substituting the values in the above formula we get
Mechanical energy= 73500+135000
=208500N
Any moving object in space will travel in a straight line at the same speed forever, planets included. The planets would be moving in straight lines, but the sun's gravity pulls them toward it. The force of gravity causes the moving planets to travel in roughly circular orbits around the sun.
Answer:
The value of leaking rate in the question is repeated. By searching on the web I could find the correct value wich is 0.002h^2 m^3 /min.
The depth of the water has to be equal to 7.07 m in order to have a stationary volume.
Explanation:
In order to have a stationary water level the flow of water that comes into the tank (0.1 m^3/min) must be equal to the flow of water that goes out of the tank (0.002*h^2 m^3/min), therefore:
0.002*h^2 = 0.1
h^2 = 0.1/0.002
h^2 = 50
h = sqrt(50) = 7.07 m
