A solid metal sphere of radius a = 2.5 cm has a net charge
Qin = - 3 nC (1 nC = 10-9C). The sphere is surrounded by
a concentric conducting spherical shell of inner radius b = 6 cm
and outer radius c = 9 cm. The shell has a net charge
Qout = + 2 nC. What is V0, the electric potential at the
center of the metal sphere, given the potential at infinity is
zero?
Write a C++ program to calculate the sphere volume and surface
area. Provided
that the sphere volume = and the sphere surface area = , where r is
the radius.
1. Read r from the user using cin statement.
2. Calculate the volume (Vol) and the surface area (Area) of a
sphere.
3. Print r, Vol, and Area in a suitable messages.
calculate the maximum velocity and the correspondingbvolumetric
flow rate (in/cm^3/s) at which laminar flow of air and water is
possible in pipes with the following diameter
D=.25,.5,1.0,2.0,4.0,6.0, and 10.0in
a. Calculate the approximate volume of the tall feature
in cubic meters. The top of the feature is at an elevation of 115’
and the bottom of the feature is at an elevation of 35’. The width
of the feature is 1410’ and its length is 1245’. Show your work
clearly.
b. Do you think this calculated volume
is an overestimate or underestimate? Explain your
reasoning
The surface area of a sphere of radius r is S = 4πr2. Its volume is
V = 4πr3/3.
a. Use MuPAD to find the expression for dS/dV.
b. A spherical balloon expands as air is pumped into it. What is the rate of increase in the balloon’s surface area with volume when its volume is 30 in.3?
The volume of a microbial culture increases according to the
formula:
V (cm^3) = 5 - 0.2 t
e^t
Where t is the time in seconds. It is
requested:
a. The units of the constants 5 and 0.2
b. Calculate the expression for V (in^3) in terms of t
(h).
c. The exponential function and its argument must be
non-dimensional. In appearance, the given function contradicts two
rules and, however, is valid. Explain the paradox.
A solid sphere 10 cm in radius carries a uniform 40-?C
charge distribution throughout its volume. It is surrounded by a
concentric shell 20 cm in radius, also uniformly charged with 40
?C. Find the electric field 5.0 cm from the center.
21- Which is a hormone that reduces blood volume and pressure
and increases urine volume?
Select one:
a. atrial natriuretic hormone
b. aldosterone
c. renin
d. erythropoietin
22- Which of the following is a chemical signal that diffuses
across the gap between adjacent neurons to convey a message to the
next cell?
Select one:
a. synapse
b. dendrite
c. action potential
d. neurotransmitter
23- Acetylcholine is a neurotransmitter released at every
neuromuscular junction (the junction of a motor neuron and...
1. A spherical balloon is being inflated so that its
volume increases at a rate of 1200cm^3 per minute. How fast is its
radius increasing at the moment when the radius is 20cm? Recall
that the volume of a sphere is given by V = 4/3πr^3
2. Which of the following is the linear approximation of
the function f ( x ) = 2e^sin (7x) at x = 0?
Group of answer choices
y=cos(7)x+2
y=7x+2
y=14x+2
y=2x+7
y=e^7x+14
3. Recall...
- Sulphur dioxide is being emitted at a rate of 2.5 kg/s from a
stack with an effective height of 160m (H). The average wind speed
at stack height is 2.0 m/s in an atmospheric stability type B. a)
Estimate the magnitude and location of the maximum ground level
concentration. b) Estimate the magnitude and location of the
maximum ground level concentration if the wind speed is doubled. c)
Estimate the magnitude and location of the maximum ground level
concentration...