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1. State and briefly discuss the basic definition of the curl of a vector.
2. What is a curl meter? How does it help visualize the behavior of the curl of a vector field?
3. Provide two examples of physical phenomena in which the curl of a vector field is nonzero.
4. State Stokes' theorem and discuss its application.
5. State Gauss' law for the electric field in differential form. How is it derived from its integral form?
An oil film with n = 1.45 floats on water. It is illuminated by white light from the sun at noon. If the film is 280 nm thick, find the wavelength and color of visible light that is most strongly reflected upward to an observer positioned above th..
A spring is compressed by 0.0620m and is used to launch an objecthorizontally with a speed of 1.50m/s. at what angular frequency (rad/s) would itoscillate at
a bullet is fired from a rifle that is held 1.59 m above the ground in a horizontal position. the initial speed of the
a long wire has a radius of 1.45 mm. if charges on the surface of the wire produce an electric field just outside its
The position vector of a particle of mass 2 kg is given as a function of time by r = (9 m) (i hat) + (3 m/s)t (j hat). Determine the magnitude of the angular momentum of the particle with respect to the origin at time 9 s. Answer in units of kg*m2/s
a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. at time t 0 the red car
How much energy is transferred to the oxygen as heat? What fraction of the heat is used to raise the internal energy of the oxygen?
In the absence of air resistance, a projectile is launched from andreturns to ground level. It follows a trajectory similar to that inthe figure below and has a range of 19 m.Suppose the launch speed is doubled, and the projectile is fired atthe same..
For a particular scientific experiment, it is important to be completely isolated from any magnetic field, including the earth's field. What is the current in the current loop
An aluminum wing on a passenger jet is 27 meter long when its temperature is 19°C. Obtain at what temperature would the wing be 8 centimeter (0.08 meter) shorter
An explosion breaks an object into two pieces, one of which has 1.5 times the mass of the other. how much kinetic energy did each piece acquire
A car is moving down a street at 53 km/h. A child all of a sudden runs into the street. If it takes the driver 0.74s to react and apply the brakes, how many meters will the car have moved before it begins to slow down?
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