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Q. An air traffic controller has two aircraft on radar. The first is at an altitude of 0.5 km, a horizontal distance of 3 km measured along the ground to the point directly underneath the plane, and a bearing of 115° west of north. The second aircraft is at an altitude of 1.00 km, a horizontal distance of 8.00 km, and a bearing of 35° east of north. Write the displacement vector from aircraft 1 to aircraft 2 in "cylindrical" coordinates. That is, write down a 3-component vector (r, θ, and z) whose first two components are polar coordinates of the horizontal displacement between the planes, and whose third coordinate is the vertical displacement between the planes. Consider east to be the positive x axis and north to be the positive y axis.
The perspective provided by Multiple-Concept is useful here. The highest barrier that a projectile can clear is 15.60 m, while the projectile is launched at an angle of 23.0 ° above the horizontal. What is the projectile's launch speed.
You are to program a robotic arm on the assembly line to move in a xy-plane. Its first displacement is; its second displacement is, of magnitude 6.51 and direction 62.7 measured in the sense from +x-axis toward -y-axis. The resultant of the two displ..
A rifle fires a 2.39 10-2-kg pellet straight upward, since the pellet rests on a compressed spring that is released when the trigger is pulled. The spring has a negligible mass and is compressed by 9.17 10-2 m from its unstrained length. The pellet r..
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The two blocks are on frictionless inclines and are in static equilibrium. The block on the left has a mass of 49 Kg, and the block on the right has a mass of n3 Kg. If the left incline has the length of n1 meters, and the right incline the length of..
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Starting from rest, a 40 kg body reaches a speed of 8.0m/s in 2s. Calculate the force acting on the body?
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