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Suppose you wish to fabricate a uniform wire from 1.80 g of copper. The wire is to have a resistance of R = 0.380 ? and all the copper is to be used.(a) What must be the length of this wire?........... m(b) What must be the diameter of this wire?
Suppose the current in a conductor decreases exponentially with time according to the equation I(t) = I0e-t/?, where I0 is the initial current (at t = 0), and ? is a constant having dimensions of time. Consider a fixed observation point within the..
The Trans-Alaskan pipeline is 1300 km long, reaching from Prudhoe Bay to the port of Valdez, and is subject to temperatures ranging from -73°C to +35°C. How much does the steel (average coefficent of linear expansion 11 x 10-6 (°C)-1) pipeline expand..
A circuit consists of a 12.0-V battery connected to three resistors (44ohm , 17ohm and 110ohm ) in series. Find the current that flows through the battery.
Mercury has a mass MP = 3.18 x 1023 kg, an orbital period T = 88.0 days, and an orbital radius r = 5.79 x 1010 m. Assume the orbit of Mercury around the Sun is approximately circular.
A laser beam is reflected by a plane mirror. It is observed that the angle between the incident and reflected beams is 24 degrees. If the mirror is now rotated so that the angle of incidence increases by 6.0 degrees, what is the new angle between the..
The density of free electrons in gold is 5.90 × 1028 m-3. The resistivity of gold is at a temperature of 20°C and the temperature coefficient of resistivity is A gold wire, 1.1 mm in diameter and 29 cm long, carries a current of 650 mA. The drift ..
A parallel-plate capacitor has a capacitance of 10 mF and charged with a 20 V power supply. The power supply is then removed and a dielectric of dielectric constant 4 is used to fill the space between the plates. The energy now stored by the capac..
A lens for a 35-mm camera has a focal length given by f= 49mm. A How close to the film should the lens be placed to form a sharp image of an object that is 5.3mm away?
A concave lens has a focal length of -33 cm. Find the image distance and magnification that results when an object is placed 21cm in front of the lens.
Mercury has a mass MP = 3.18 x 1023 kg, an orbital period T = 88.0 days, and an orbital radius r = 5.79 x 1010 m. Assume the orbit of Mercury around the Sun is approximately circular. Find the angular speed of Mercury about the Sun.
If 3.43×10^8 electrons flow through the ground wire to Earth and the ground wire is then removed, what is the net charge on the electroscope.
Two blocks are placed in contact on a horizontal frictionless surface. The smaller box has less mass than the larger box. A force F is applied to the small box as shown so that the boxes accelerate to the right.
A particle has a charge of +1.7 %u03BCC and moves from point A to point B, a distance of 0.29 m. Find the magnitude of the electric force that acts on the particle
A 2-kg box is initially sliding at a speed of 15 m/s on a horizontal surface. What is the coefficient of kinetic friction between the box and the horizontal surface
If the electric field in an EM wave has a peak value of 0.45X10^-4 V/m, what is the peak value of the magnetic field strength
A man walks at 3 m/s on a still day along the line between two fire stations. Find the apparent frequency of each whistle
A laser emits a narrow beam of light. The radius of the beam is 1.0 mm, and the power is 2.8 mW. What is the intensity of the laser beam
\(\sum_{}^{}A_{n}sin(nk_{1}z); n = 1, 3, 5.....\) Formula 1 Formula 2 Prove the following two statements using a method that makes use of the normal modes of a continuous string with appropriate boundary conditions, and is equivalent to the the Fo..
To withstand "g-forces" of up to 10 g's, caused by suddenly pulling out of a steep dive, fighter jet pilots train on a "human centrifuge." at what speed is the rider moving when she experiences 10 g's
You exert a force as shown in the diagram to push a large crate of books (about 1 m high, m = 45.0 kg) across a rough floor at constant speed v = 0.650 m/s. Find the rate at which work is done by you
A positive charge q1 = 2.50 µC on a frictionless horizontal surface is attached to a spring of force constant k, the distance between charges to d = 9.00 cm, Find the value of k
A constant-pressure insulated piston-cylinder device contains 1.7 kg of saturated liquid-vapor mixture of water at 150 kPa with an initial quality of 0.2. Calculate the change in exergy of the contents in kJ
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