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A six-sided die has a positive charge in the center of each face, and a negative charge embedded in the center. The charge on each face is proportional to the value on the face. The top side of the die is 6; the bottom is 1; the east is 4; the west is 3; the north face is 5; the south is 2. Find the direction of the electric force on the charge in the center. Express your answer as a vector of length one by stating its components in the up, east, and north directions.
With its wheels locked, a van slides down a hill inclined at 36.0 to the horizontal. Find the acceleration of this van if the hill is icy and frictionless.
A bucket of mass 5 kg is suspended over a well shaft by a winch and a rope. What is the angular velocity of the winch just before the bucket hits the water
A traveling wave in a string of linear density 0.01 kg per meter is described by the wave function y = 0.02 m sin(50 rad/m x - 1750 rad/s t). find the wave speed and the tension in the string
A geologist searching for oil finds that the gravity at acertain location is 4 parts in107 smaller than average. Estimate the sizeof the deposit
A satellite moves around the earth in a circular orbit at a constant speed of 5000m/s. find the radius of the orbit
You are to throw a ball with a speed vo ata target that is height h above the level at which yourelease the ball. You want the ball's velocity to be horizontal atthe instance it reaches the target.
What minimum force requires for door to hold it open
A 640-g hollow ball 19cm in diameter is suspended by a wire and is undergoing torsional oscillations at a frequency of 0.78 Hz
In a dentist's office, an X-ray of a tooth is taken using X-rays that have a frequency of 8.07 multiply.gif 1018 Hz
Two metal spheres of different sizes are charged such that the electric potential is the same at the surface of each. Sphere A has a radius 7 times that of sphere B. Let and be the charges on the two spheres, and let and be the electric-field magnitu..
For exercise, a 60 kg athlete runs up a 10-m high hill in 30 seconds. Assume the efficiency of the human body is 25%. Determine her metabolic power
The volume flow rate of the water supplied by a well is 1.53 x10-4 m3/s. The well is 31.8 m deep. Find the pressure difference the pump must maintain
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