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Draw a cube and Cartesian axes. All points of the cube lie in the (+,+,+) octant of the coordiante system. One vertex of the cube is at (0,0,0), the point called O. The vertex that is diagonally across from O on the square in the xz plane is point A. The vertex that is diagonally across from O on the square in the yz plane is point B. The vertex that is diagonally across the cube from O is called C.
(a) Determine the angle (in degrees) between the vectors OA and OB.
(b) Determine the angle (in degrees) between the vectors OA and OC.
A long, straight telephone cable contains six wires, each carrying a current of 0.300A, If the currents in all six wires are in the same direction, what is the magnitude of the magnetic field 2.70 m from the cable
A 430g football is lying on the ground, then is kicked and is moving at 25.00 m/s. If the period of the impact was 0.001 s, what was the average force on the ball.
The Earth is constantly being bombarded by cosmic rays, which consist mostly of protons. Assume that these protons are incident on the Earth's atmosphere from all directions at a rate of 1090. protons per square meter per second.
Find out the maximum distance d (along the ladder) that the monkey can climb up ladder before the rope breaks.
An explorer in dense jungles of equatorial Africa leaves his hut. He takes 41 steps at an angle 45 north of east, then 81 steps at an angle 60 north of west, then 51 steps due south. Suppose his steps all have equal length. Save him from becoming ..
Use the work-energy theorem to find out how high it will be when its speed has been reduced to half of its initial value. Please provide step-by-step process.
a mass M is hanging from two strings. There is a tension of 34 N in the string on the left and a tension of 24 N in the string on the right. How heavy is the object
If the water in the river is flowing at 3.0 m/s, explain how long does it take the boat to make a round trip consisting of a 250 m displacement downstream followed by a 250 m displacement upstream?
Two carts with masses of 5.00 kg and 2.64 kg move toward each other on a frictionless track with speeds of 4.86 m/s and 3.46 m/s correspondingly. The carts stick together after colliding head-on. Find the final speed.
A container of hot water at 50 degrees cools to 49 degrees in how many seconds when it is placed in a room that is t 20 degrees. use newton's law of cooling to find the time it will take for the container to cool from 50 degrees to 49 degrees.
icyclists in the Tour de France do enormous amounts of work during a race. For example, the average power per kilogram generated by Lance Armstrong (m = 75.0 kg) is 6.50 W per kilogram of his body mass.
A 480-kg sailboat has an acceleration of 1.17 m/s2 at an angle of 59.3 ° north of east, find the direction of the net force that acts on the sailboat
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