Answer:
Drop by a factor of 64
Explanation:
By Newtons law of gravity,
where;
G = Universal gravitaional constant
r = distance between center of gravities of two objects
m₁,m₂ = masses of thee objects.
F = Gravitational force.
m =
(mass = volume into density.
So when radius is halved, mass drops by a factor of 8,
m' = ![\frac{4}{3}π (r/2)³ρ](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%CF%80%20%28r%2F2%29%C2%B3%CF%81)
=
So in substitution to the equation,
![F'=\frac{G(m₁/8)(m₂/8)}{r^{2} }](https://tex.z-dn.net/?f=F%27%3D%5Cfrac%7BG%28m%E2%82%81%2F8%29%28m%E2%82%82%2F8%29%7D%7Br%5E%7B2%7D%20%7D)
![F' = F/64](https://tex.z-dn.net/?f=F%27%20%3D%20F%2F64)
Answer:
D I think I might be wrong its been a while scense I did something like that
Answer:
Explanation:
D = 8.27 m ⇒ R = D / 2 = 8.27 m / 2 = 4.135 m
ω = 0.66 rev/sec = (0.66 rev/sec)*(2π rad/1 rev) = 4.1469 rad/s
We can apply the equation
Ff = W ⇒ μ*N = m*g <em>(I)</em>
then we have
N = Fc = m*ac = m*(ω²*R)
Returning to the equation <em>I</em>
<em />
μ*N = m*g ⇒ μ*m*ω²*R = m*g ⇒ μ = g / (ω²*R)
Finally
μ = (9.81 m/s²) / ((4.1469 rad/s)²*4.135 m) = 0.1379
Answer:
Length, l = 33.4 m
Explanation:
Given that,
Electrical field, ![E=3\times 10^6\ V/m](https://tex.z-dn.net/?f=E%3D3%5Ctimes%2010%5E6%5C%20V%2Fm)
Let the electrical potential is, ![V=10^8\ V](https://tex.z-dn.net/?f=V%3D10%5E8%5C%20V)
We need to find the length of a thundercloud lightning bolt. The relation between electric field and the electric potential is given by :
![V=E\times d\\\\d=\dfrac{V}{E}\\\\d=\dfrac{10^8}{3\times 10^6}\\\\d=33.4\ m](https://tex.z-dn.net/?f=V%3DE%5Ctimes%20d%5C%5C%5C%5Cd%3D%5Cdfrac%7BV%7D%7BE%7D%5C%5C%5C%5Cd%3D%5Cdfrac%7B10%5E8%7D%7B3%5Ctimes%2010%5E6%7D%5C%5C%5C%5Cd%3D33.4%5C%20m)
So, the length of a thundercloud lightning bolt is 33.4 meters. Hence, this is the required solution.