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an aircraft flies from london to new york at a speed of 800 kmh assume new york is straight west of london at a
a particle moves with a velocitynow the magnitude of the velocity is reduced by a factor of 2a calculate the direction
a satellite rotates around the globe at 16000 kmh to reenter into the atmosphere the speed is reduced by 1000 kmh by
a vector is given asa find the angle between a and the z axisb find a vector perpendicular to a and the z
three vertices of a parallelogram are given as p17 3 1 p22 10 and p32 2 5a find the area of a parallelogram with these
three points are given in cartesian coordinates p11 1 1 p21 10 and p30 1 1a find the points p1 p2 and p3 in cylindrical
a sphere of radius a is given choose any point on the spherea describe this point in cartesian coordinatesb describe
given a function fx y z as the distance between a point px y z and the origin o0 0 0a determine the gradient of this
given the configuration of exercise 23 calculate the gradient in cylindrical coordinates use the direct approach or the
the gradient is perpendicular to surfaces of constant scalar quantities show how this property can be used toa find
vector fieldisdefined as a volume force density in nm3 in a sufficiently large region in space this force acts on every
an atmospheric pressure field is given as px y z x - 22 y - 22 z 12 where the xy plane is parallel to the surface
the following vector fields are givena which of the fields are solenoidalb which of the fields are irrotationalc
solve the problem in example 35b but with the positive charge twice as large as the negative chargeexample 35an
repulsion forces two point charges each with charge q 10-9 c are suspended by two strings 02 m long and connected to
the electric field mark all that are truea starts at a positive charge and ends in a negative chargeb is not a physical
suppose we discovered that the charge of the electron were not quantized that is that the charge of the electron is not
force on point charge two positive point charges each equal to q are located a distance d apart an electron of charge e
electric field of point charges two point charges are located as in figure 336a sketch the electric field intensity of
electric field of point charges four charges are arranged as shown in figure 33 7a find the electric field intensity at
electric field due to planar charge density an infinite plane charged with a uniform surface charge density p0 is
maximum allowable charge density on power lines a dc power transmission line is made of two conductors each 20 mm in
application potential and field between charged plates the two plates in figure 463 are very large infinite the
potential due to point charge and spherical charge distribution a point charge q is surrounded by a uniform spherical
application charge density in coaxial cable connected to a battery a very long solid cylindrical conductor of radius b