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A nonconducting solid sphere of radius R has a volume charge density that is proportional to the distance from the center. That is, ? = Ar for r R, where A is a constant. (Use the following as necessary: 0, A, r, and R, as necessary.) (a) Find the total charge on the sphere. Q = (b) Find the expressions for the electric field inside the sphere (r < R) and outside the sphere (r > R). ErR =
An astronaut on a small planet wishes to measure the local value of g by timing pulses travelling down a wire which has a large object suspended from it. Imagine the wire of mass 3.80 g is 1.60 m long and has a 3.00-kg object suspended from it. A pul..
The mass of a roller-coaster car, including its passengers, is 495kg. Its speed at the bottom of the track in the figure below is 17.00 m/s. The radius of this section of track is r1 = 26 m. Find the force that a seat in the roller-coaster car exerts..
A 96 kg person stands on a scale in an elevator. What is the apparent weight when the elevator is accelerating upward with an acceleration of 1.80 m/s^2.
A space station is constructed in the shape of a wheel 16 rm m in diameter, with essentially all of its 6.0×10^5 rm kg mass at the rim.
An airplane is flying with a velocity of 90 at an angle of 22 above the horizontal. When the plane is a distance 122 directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment.
A 170, 35.0 cm-diameter turntables rotate on frictionless bearings at 53.0. A 20.0 block sits at the center of turntable. A compressed spring shoots the block completely outward along a frictionless groove in the surface of the turntable.
A 67 kg person sits on a 3.5kg chair. Each leg of the chair makes contact with the floor in a circle that is 1.8 cm in diam. Determine the pressure exerted on the floor by each leg of the chair; Assume the weight is evenly distributed.
A Carnot engine whose cold reservoir temperature is 1.0 C has a thermal efficiency of 40%. By how much should the temperature of the hot reservoir be increased to raise the efficiency to 60%?
A woman is reported to have fallen 139 ft from a building, landing on a metal ventilator box, which she crushed to a depth of 30 in. She suffered only minor injuries.
Ultrasound probes can resolve structural details with sizes approximately equal to the wavelength of an ultrasound waves themselves. What is a size of the smallest feature observable in human tissue while examined with 25 MHz ultrasound? The speed of..
A golfer, putting on a green, requires three strokes to "hole the ball." During the first putt, the ball rolls 4.0 m due east. For the second putt, the ball travels 3.1 m at an angle 20° north of east. The third putt is 0.50 m due north. What disp..
A 0.525 kg ball starts from rest and rolls down the hill with uniform acceleration, travelling 150 m throughout the second 10.0 rm s of its motion.
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