Homework Statement
Light is originally traveling through air and then enters water with an index of refraction of 1.32. Angle in air at interface is 69 degrees with respect to normal. If thickness of water is 2.3 km, how long does it take in microseconds (1 x 10-6 s) to cross water? Hint: light...
Homework Statement
At resonant frequency of 2,459 Hz for an RLC circuit, average power of circuit is 74 Watts when connected to a voltage source with a maximum voltage of 58 volts. If capacitance is 3 micro-Farads, what is maximum current, in amps, at 1,759 Hz? Answer is 2.14.
Homework...
Homework Statement
A solenoid runs in z direction through x-y plane. As it passes through plane current is running counter-clockwise with an amount of I(t)=2.3 A/s2t2 (increasing over time counter-clockwise). Also, n=7 x 104/m for solenoid. A wire shaped as a square with sides of 1.2 meters...
Homework Statement
An infinite straight wire is located at origin of a coordinate system. It has a large current of 73 x 107 amps running positive z direction. A point charge of -4 micro-Coulombs is moving at 3 x 106 m/s in positive x direction at point x=1.9 m, y=4.5 m. What is magnitude of...
Homework Statement
A charge of +21.9 micro-Coulombs is placed at x=-3.3 m, y=0 m, a charge of -8.5 micro-Coulombs is placed at x=0 m, y=+3.8 m, and a charge of +15.6 micro-Coulombs is placed at x=+3.3 m, y=+3.8 m. If a charge of -15.4 micro-Coulombs is placed at origin, what is electrical...
Homework Statement
A cylindrical barrel, standing upright on its circular end, contains muddy water. The top of barrel, which has diameter 1 meter, is open. Height of barrel is 1.8 meter and it is filled to a depth of 1.5 meter. Density of water at a depth of h meters below surface is given by...
Homework Statement
Gamma function is defined for all x>0 by rule
\Gamma(x)=\int0\inftytx-1e-tdt
Find a simple expression for \Gamma(n) for positive integers n. Answer is \Gamma(n)=(n-1)!
Homework Equations
The Attempt at a Solution...
Homework Statement
An infinite sheet of charge with a surface charge density of +7.8 micro-Coulomb/m2 lies on x axis (technically in x-z plane). Another infinite sheet of charge with an unknown charge density lies on y axis (technically in y-z plane). A positive point charge is placed in first...
Homework Statement
An electron is originally moving at 6.8 x 107 m/s in positive x direction as it enters a region of confined, uniform, electric field. Magnitude of field is 2.6 x 106 N/C in negative y direction and its length in x direction is 6.2 x 10-4 meters. If one ignores weight of...
Homework Statement
A charge of -11.8 micro-Coulombs is placed on x axis at x=0 meters. Another charge of -7.3 micro-Coulombs is placed on x axis at x=+.42 meters. Other than infinity, where on x axis is total electric field equal to zero? Answer in centimeters.
q1=-11.8\muC
q2=-7.3\muC
Homework...
Homework Statement
A disk with a radius of .27 meters is originally at rest. It then starts to spin under a constant angular acceleration. After 2 rotations, magnitude of total acceleration (considering both centripetal and tangential acceleration) is 52 m/s2. What is angular acceleration in...
Homework Statement
A mass starts at top of incline with a length of 10 meters with an angle of 36 degrees. Incline has friction with a coefficient of kinetic friction of .26. At bottom of incline is a horizontal, frictionless surface which has a loop of radius 2 meters. After loop is a...
Homework Statement
Scientists are examining a distant planet where mass of planet is 5.24 x 1022 kg with a radius of 37, 757 km. It is spinning so fast that anything on equator of planet will fly off. What would be rotation period of planet in minutes for this to occur? (In other words what...
Homework Statement
A car is traveling on a circular hill of radius 22 meters. When it reaches top of hill, it loses contact with surface and becomes a projectile. How far will it travel horizontally before it returns to ground in meters?
Homework Equations
v=\sqrt{}Rg
The Attempt...
Homework Statement
A car is traveling around a circular, banked track without friction. It is initially traveling around bottom of ramp where inner radius of track is 397 meters. Car then increases its velocity by a factor of 1.9. If inclination angle is 13 degrees, what is height (vertical...
Homework Statement
An object of mass 13 kg is placed on incline with friction. Incline is originally horizontal and then raised slowly and at 22 degrees, mass begins to slide down incline. It is found that coefficient of kinetic friction is .83 times coefficient of static friction. If incline...
Homework Statement
An object is launched from ground at an angle of 73 degrees from horizontal and reaches a maximum height of 47 meters. What is magnitude of object's velocity when object's horizontal displacement is 23 meters? Answer in m/s. Answer is 10.61.
\theta=73
\Deltay=47m
\Deltax=23m...
Homework Statement
An object is moving along an ellipse which is described by x(t)=acos(\omegat) and y(t)=bsin(\omegat). Determine magnitude of acceleration vector as a function of parameters a, b, and \omega. Is magnitude of acceleration vector constant over time?
Homework Equations...