Answer: C = Q/4πR
Explanation:
Volume(V) of a sphere = 4πr^3
Charge within a small volume 'dV' is given by:
dq = ρ(r)dV
ρ(r) = C/r^2
Volume(V) of a sphere = 4/3(πr^3)
dV/dr = (4/3)×3πr^2
dV = 4πr^2dr
Therefore,
dq = ρ(r)dV ; dq =ρ(r)4πr^2dr
dq = C/r^2[4πr^2dr]
dq = 4Cπdr
FOR TOTAL CHANGE 'Q', we integrate dq
∫dq = ∫4Cπdr at r = R and r = 0
∫4Cπdr = 4Cπr
Q = 4Cπ(R - 0)
Q = 4CπR - 0
Q = 4CπR
C = Q/4πR
The value of C in terms of Q and R is [Q/4πR]
The thickness of the ozone layer (for earth) and the atmosphere.
Mercury is the closest planet to the sun but it isn’t the hottest because it has no atmosphere. Although Venus is the second planet from the sun, it is the hottest because of it’s thick atmosphere and the clouds that trap heat in.
Answer:
<u>A kangaroo hops 60 m to the east in 5 s. What is the kangaroo's average velocity? ... The kangaroo stops at a lake for a drink of water and then starts hopping again to the south. Each second, the kangaroo's velocity increases 2.5 m/s.</u>
Answer:
<u>Velocity impact is 50.86 m/s.</u>
Explanation:
If an "object of mass" "m" is dropped from "height" "h", then the "velocity" just before impact is "v" . The "kinetic energy" before impact is equal to its "gravitational potential energy" at the height from which it was dropped: Kinetic energy = J.
V is impact velocity
h height in meter = 132 m
V = 50.86 m/s
<u>Velocity impact is 50.86 m/s</u>.