Answer:
<h2>0.245cm/min</h2>
Explanation:
The volume of the spherical balloon is expressed as V = 4/3πr³ where r is the radius of the spherical balloon. If the spherical balloon is inflated with gas at the rate of 500 cubic centimetres per minute then dV/dt = 500cm³.
Using chain rule to express dV/dt;
dV/dt = dV/dr*dr/dt
dr/dt is the rate at which the radius of the gallon is increasing.
From the formula, dV/dr = 3(4/3πr^3-1))
dV/dr = 4πr²
dV/dt = 4πr² *dr/dt
500 = 4πr² *dr/dt
If radius r = 40;
500 = 4π(40)² *dr/dt
500 = 6400π*dr/dt
dr/dt = 500/6400π
dr/dt = 5/64π
dr/dt = 0.245cm/min
Hence, the radius of the balloon is increasing at the rate of 0.245cm/min
Work = Force x Distance
47.2J = 23.3N x d
d = 47.2/23.3
d = 2.0258 m
hope this helps :P
Explanation:
It is given that,
Length of the copper wire, l = 4.4 m
Diameter of copper wire, d = 1.3 mm = 0.0013 m
Radius of copper wire, r = 0.00065 m
The resistivity of the copper wire, 
We need to find the resistance of the copper wire. It is given by :
R =0.055 ohms
So, the resistance of the copper wire is 0.055 ohms. Hence, this is the required solution.
A. anything less than 3.0 magnitude on a richters scale usually can't be felt by humans but instruments can pick it up.
29.5 days
It takes 27 days, 7 hours, and 43 minutes for our Moon to complete one full orbit around Earth. This is called the sidereal month, and is measured by our Moon's position relative to distant “fixed” stars. However, it takes our Moon about 29.5 days to complete one cycle of phases (from new Moon to new Moon).
