Suppose a conducting sphere, radius r2, has a spherical cavity
of radius r1 centered at the...
Suppose a conducting sphere, radius r2, has a spherical cavity
of radius r1 centered at the sphere's center. At the center of the
sphere is a point charge -4Q. Assuming the conducting sphere has a
net charge +Q determine the electric field,magnitude and direction,
in the following situations:
a) From r = 0 to r = r1.
b) From r = r1 to r = r2.
c) Outside of r = r2
d) find the surface charge density (charge per...
Application of the first order differential equations, from
"Differential Equations", by Isabel Carmona.
2. A body...
Application of the first order differential equations, from
"Differential Equations", by Isabel Carmona.
2. A body with a mass of 9.7 kg is released from a height of 300 m
without initial speed. The body finds an air resistance
proportional to its speed.
If the speed limit must be 95 m/sec...
Find
A) body speed at a time t
B) the position of the body at a time t
The correct answers are:
A) v = 95 (1-e(- t /...
In a small town called Edam, cheese is given a perfect spherical
shape of radius 100...
In a small town called Edam, cheese is given a perfect spherical
shape of radius 100 milimeters, and covered with a thin layer of
red wax. When the locals sliced the cheese, and melted the wax of
each slice, they found out, to their amazement, that they got the
same amount of wax, no matter where they cut the cheese. (No pun
intended). Show that if you cut a slice of that cheese of thickness
T, the external area of...
1. First consider a mass on an inclined slope of angle θ, and
assume the motion...
1. First consider a mass on an inclined slope of angle θ, and
assume the motion is frictionless. Sketch this arrangement:
2. As the mass travels down the slope it travels a distance x
parallel to the slope. The change in height of the mass is
therefore xsinθ. By conserving energy, equate the change of
gravitational potential energy, mgh = mgxsinθ, to the kinetic
energy for the mass as it goes down the slope. Then rearrange this
to find an...
3. Consider the region R in the first quadrant enclosed by y =
x, y =...
3. Consider the region R in the first quadrant enclosed by y =
x, y = x/2, and y = 5.
(a) Sketch this region, making sure to identify and label all
points of intersection.
(b) Find the area of R, using the method of your choice.
(c) Using the method of your choice, set up an integral for the
volume of the solid resulting from rotating R around the y-axis. Do
NOT evaluate the integral.
(d) Using the method...
Data
For Tasks 1-8, consider the following data:
7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5,...
Data
For Tasks 1-8, consider the following data:
7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5, 13.0, 3.2, -1.1,
7.0, 0.5, 3.9, 2.1, 4.1, 6.5
In Tasks 1-8 you are asked to conduct some computations
regarding this data. The computation should be carried out
manually. All the steps that go into the computation should be
presented and explained. (You may use R in order to verify your
computation, but not as a substitute for conducting the manual
computations.)
A Random...