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A spherical insulating ball with a radius of 3.0 cm has charges embedded in it, with a volume charge density that increases with radius:
p(r) = (5.9 C/m^2)r^4,
where r is measured in meters. What is the total charge on the ball? Hint: To solve this , you will first need to mentallydivide the ball into a series of thin shells. Taking the charge density over each of these shells as constant, find the charge on each one. Then let the number of shells go to infinity and evaluate the resulting integral.
A person is riding a bicycle, and its wheels have an angular velocity of 12.7 rad/s. How much time does it take for the bike to come to rest
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A 1.1 long steel wire with a radius of 0.200 mm is hanging vertically. How much does the wire stretch
A sinusoidal force with an amplitude of 1.70 N drives the system. At what frequency will the force make the object vibrate with an amplitude of 0.440 m
A diffraction grating is 25.0 mm wide and has 8,000 rulings (lines). Light of wavelength 656 nm is incident on the grating, and a diffraction pattern is seen on a screen a short distance away. a) What is the distance between adjacent rulings of the g..
A 2.40-m-long string is under 29.0 N of tension. A pulse travels the length of the string in 60.0 ms. What is the mass of the string?
A small conductive rod of length 2 m moves with a constant velocity v=17 m/s in a direction parallel to a long wire carrying a current of 26 A. The the axis of the rod is perpendicular to the direction of the wire and the distance between the wire an..
The electron and proton of a hydrogen atom are separated (on the average) by a distance of approximately 5.3 x 10-11 m, what is a fundamental difference between the two forces
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A weather emergency siren is mounted on a tower, 177 meters above the ground. On one hand, you would like to make the siren very loud so that it will warn as many people as possible. what is the maximum power that the siren can put out
An 18.8 cm screwdriver is used to pry open a can of paint. If the axis of rotation is 2.78 cm from the end of the screwdriver blade, what force is applied to the lid
A 10.0-cm long wire has a diameter of 0.1 mm and a resistivity of 4.0 ´ 10-7 ohm-cm, A 6.0-volt battery is connected to the resistance, What current exists in the circuit
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