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What is the minimum thickness of Styrofoam insulation (k = 0.030 W/m. K) that must be applied to the top and side walls to ensure a heat load of less than 500 W, when the inner and outer surfaces ar
Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop's plane at an edge.
Calculate the inductance (SI units: Henries) of a coil of wire having a loop diameter of 0.5 cm and length of 1 cm. The wire has 1000 loops per meter.
Two traveling sine waves, identical except for a phase difference of phi, add so that their superposition produces another traveling wave with the same amplitude as the two component waves.
A lens is made of glass having an index of refraction of 1.5. One side of the lens is flat, and the other convex with a radius of curvature of 18 cm. If an object is placed 36 cm in front of the l
At a given instant of time the temperature distribution within an infinite homogeneous body is given by the function T(x, y, z) = x2 - 2y2 + z2 - xy + 2yz Assuming constant properties and no interna
What is the gauge pressure at a 3200-mdeep vent, assuming that the density of water does not vary? Express your answer in pascals.
The same force is applied in the same direction to each. What is the ratio of the torque produced by this force in the truck to the torque produced in the car?
A small object with a mass of 350 mg carries a charge of 30.0 nC and is suspended by a thread between the vertical plates of a parallel-plate capacitor. The plates are separated by 4.00 cm. If the t
A parallel-plate air capacitor is made by using two plates 16 cm square, spaced 4.7 mm apart. It is connected to a 12-V battery.
There is a uniform magnetic field throughout the region with components Bx = +1.0 T, By = +9.0 T, and Bz = +2.0 T. Calculate the flux through the shaded face of the cube.
An air capacitor is made from two flat parallel plates 1.50 mm apart. The magnitude of charge on each plate is 0.0180µC when the potential difference is 200 V. (a) What is the capacitance?
A potential difference of 90 mV exists between the inner and outer surfaces of a cell membrane. The inner surface is negative relative to the outer surface. How much work is required to eject a posi
A transformer has N1 = 350 turns and N2 = 2 000 turns. If the input voltage is ?v (t) = (170 V) cos wt, what rms voltage is developed across the secondary coil?
A sinusoidal wave with an amplitude of 4.0 cm and a wavelength of 1.6 m travels along the string. What is the maximum speed of a particle on the string?
A 1.90 kg particle moves in the xy plane with a velocity of = (4.20i - 3.90j ) m/s. Determine the angular momentum of the particle about the origin when its position vector is r= (1.50 + 2.20 ) m.
An electric current is given by the expression I (t) = 100 sin (120πt), where I is in amperes and t is in seconds. What is the total charge carried by the current from t = 0 to t = (1/240) s?
A uniform solid sphere of radius 0.491 m and mass 14.0 kg turns counterclockwise about a vertical axis through its center (when viewed from above). Find its vector angular momentum when its angul
The headlights of a moving car require about 10 A from the l2 V alternator, which is driven by the engine. Assume the alternator is 80% efficient (its output electrical power is 80% of its input mec
Use Gauss' Law and Ampere's Law to find both the capacitance per unit length and the inductance per unit length of a coaxial cable with an outer radius of 4.5 mm and an inner radius of 1.5 mm.
What is the fractional change in the resistance of an iron filament when its temperature changes from 25.0°C to 50.0°C?
A potential difference of 100 V produces a current of 3 A in a certain resistor. (a) What is the resistance of the resistor
A small object is released from rest just below the surface of the water. It takes time t to sink the bottom at depth d. (write the formula for Px) A) what is the density of the object Px?
Two conductors having net charges of + 10.0µC and -10.0 µC have a potential difference of 10.0 V between them. (a) Determine the capacitance of the system.
A 25.0-Ω bulb is connected across the terminals of a 12.0-V battery having 3.50 Ω of internal resistance. What percentage of the power of the battery is dissipated across the internal re