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An electron moves in a force field due to a uniform electric field E and a uniform magnetic field B that is at right angles to E. Let E = jE and B = kB. Take the initial position of the electron at the origin with initial velocity vo = ivo in the x direction. Find the resulting motion of the particle. Show that the path of motion is a cycloid.
x = a sin ωt + bty = a (1 - cos ωt)z = 0
Cycloidal mtion of electrons is used in an electronic tube called a magnetron to produce the microwavesin a microwave oven.
a meteorologist for a tv station is using radar to determine the distance to a cloud. he notes that a time of 0.28ms
When a 2.75-kg fan, having blades 18.5 cm long, is turned off, its angular speed decreases uniformly from 10.0 rad/s to 6.30 rad/s in 5.00 s. What is the magnitude of the angular acceleration of the fan? During what angle (in degrees) does it turn wh..
A force platform is a tool used to analyze the performance of athletes measuring the vertical force that the athlete exerts on the ground as a function of time. With what speed did she reach the platform
A man walks with constant speed of 2 m/s east for 30 s, then turns around and walks with constant speed 2 m/s for 10 s. Find her average acceleration for those 40 seconds
A 71-kilogram person stands on a bathroom scale in an elevator. Find what does the scale read if the elevator is ascending with an acceleration of 3.0 m/s2
a person stands on a scale in an elevator. as the elevator starts the scale has a constant reading of 598 n. as the
A 2.5 kg piece of the same metal, intitally at a temperature of 190°C is dropped into the water. If the water temperature rises from 16.0°C to 17.8°C, calculate the specific heat of the metal.
A door of width 1.0 and height 2.0 weighs 279 and is supported by two hinges, one a distance 0.500 from the top and the other a distance 0.50 from the bottom. Each hinge supports half the total weight of the door.
There are two identical, positively charged conducting spheres fixed in space. The spheres are 48.8 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0795 N. Then, a thin conducting wire connects the spheres, redi..
An electric motor rotating a workshop grinding wheel at a rate of 1.16 x 102 rpm is switched off. Find through how many radians has the wheel turned during the interval found in (a)
A charged sphere of radius 10 cm has a total charge of 5 C. Calculate the potential at the surface of the sphere
A 150 g aluminum cup contains 150 g of water and both are at 13 C. If you add 150 g of hot water at 90 C what is the final temperature at thermal equilibrium? How much hot water at 90 C needs to be added to achieve a final temperature of 44 C?
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