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The current density inside a long, solid, cylindrical wire of radius a is in the direction of the central axis and its magnitude varies with radial distance r from the axis according to J = br2, where b is a positive constant. Find the magnitude of the magnetic field as a function of distance r for (a) 0 ? r ? a?
The Concorde is 62 m long when its temperature is 23°C. In flight, the outer skin of this supersonic aircraft can reach 106°C due to air friction. Find the amount by which the Concorde expands
The highest barrier that a projectile can clear is 14.6 m, when the projectile is launched at an angle of 17.0° above the horizontal. What is the projectile's launch speed
Jupiter has a radius of 71,492km and a mass of 1.9x10^27 kg. Jupiter's moon has a mass of 9x10^22kg and orbits at a distance of 422x10^3km
The power supply for a pulsed nitrogen laser has a 0.060micro-F capacitor with a max voltage rating of 25 kV. what is the power of the laser pulse
If a convex lens with n=1.30 and f=25 cm is immersed in a fluid with an index of refraction that is also 1.30, what is the new focal length of the lens
a transformer with 120 turns in its secondary supplies 12 volts at 220 ma to a toy train. the primary is connected
Space probes require power systems that can remain functional over long periods of time. One innovative design for a small electrical power source uses the energy released by the alpha decay of curium-244.
The gun on a battleship is at the surface of the water, and fires a 500 kg projectile with a muzzle velocity of 400 m/sec, What is the maximum range
A 10.4 m long steel beam is accidentally dropped by a construction crane from a height of 8.67 m. What is the induced EMF in the beam just before impact with the Earth
A charge of -3.2 µC is fixed at the center of a compass. Two additional charges are fixed on the circle of the compass, which has a radius of 0.099 m. The charges on the circle are -3.95 µC at the position due north and +5.45 µC at the position du..
At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.2 m/s2. How fast will the automobile be traveling at that instant
A bumper car with mass m1 = 109.0 kg is moving to the right with a velocity of v1 = 4.9 m/s. A second bumper car with mass m2 = 84.0 kg is moving to the left with a velocity of v2 = -3.6 m/s. The two cars have an elastic collision. Assume the surf..
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