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a) What is the sufficient condition for a vector field to be conservative?
b) What is a conservative vector field?
c) What are Gaussian Surfaces and why are they important?
A certain medical machine emits x-rays with a minimum wavelength of 0.02 nm. One day, the machine has an electrical problem, What is the maximum x-ray energy this machine (with electrical problems) can produce
A +3.07 nC point charge is placed at one corner of a square (1.90 m on a side), and a -6.51 nC charge is placed on the corner diagonally opposite. What is the magnitude of the electric field at either of the other two corners?
A mechanic pushes a 2.20 x10^3 kg car from rest to a speed of v, doing 5400 J of work in the process. During this time, the car moves 28.0 m. Neglecting friction between car and road, find each of the following.
An electric scooter has a battery capable of supplying 150 Wh of energy. what altitude change can a rider achieve when driving in hilly terrain
A geologist finds that a Moon rock whose mass is 9.64kg has an apparent mass of 6.25kg when submerged in water. What is the density of the rock
If a commiercial solar cell with a maximum output of 2 amps at 0.5v costs $30. what will be the cost of a Photovoltaic System plant per peak kilowatt?
A resistor draws 12mW when placed acriss the terminals of a 1.5V battery, Determine the current drawn by the resistor
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 81.0 m/s at ground level. The engines then fire.
It is a damp, chilly day in a New England seacoast town suffering from a power failure. how much heat must flow into the water
A cup of coffee is sitttinf ona table in an airplane that isflaying at a constant velocity and altidude. What is the maximum acceleration that the plane can have without the cup sliding backward on the table
Find the voltage output of a transformer used for rechargeable flashlight batteries, if its primary has 500 turns, its secondary 8 turns, and the input voltage is 124 Volt
an initially stationary block of mass m on a floor. A force of magnitude F = 0.580·mg is then applied at upward angle ? = 16°. What is the magnitude of the acceleration of the block across the floor if (a) ?s = 0.600 and ?k = 0.500
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