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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.
Soccer ball is kicked with a speed of 11.50 m/s at an angle of 30.0° above the horizontal. If the ball lands at the same level from which it was kicked, how long was it in the air.
What is value of Earths magnetic field
A curve of radius 50 m is banked for the design speed of 100 km/h. If the coefficient of static friction is 0.60 (wet pavement), at what range of speeds can a car safely create the curve.
A copper telephone wire has essentially no sag between poles 20.5 meters apart on a winter day while the temperature is -15.5° C. How much longer is the wire on the summer day when the temperature is 27.0° C.
The cockroach finds a bread crumb on the rim and, of course, stops. What is an angular speed of the lazy Susan after the cockroach stops.
A man drags a 72.0 kg crate across the floor at a constant velocity by pulling on a strap attached to the bottom of the crate. The crate is tilted 26 degrees above the horizontal, and the strap is inclined 68 degrees above the horizontal. The center ..
What is angular velocity of the cockroach-disk system
An aquarium contains a 5-cm layer of water (n = 1.333) floating on top of carbon tetrachloride (n = 1.461). If an angle of incidence into water from the carbon tetrachloride is 20, what is the angle of refraction into the air.
A submarine is 304 m horizontally out from the shore and 126 m beneath the surface of the water. A laser beam is sent from the sub so that it strikes the surface of the water at a point 232 m from the shore. If beam just strikes the top of a building..
A cardiac pacemaker can be affected by the static magnetic field as small as 1.7 mT. How close can a pacemaker wearer come to a long, straight wire carrying 19 A.
Vector A points in the negative y direction and has a magnitude of 3 units. Vector B has three times the magnitude and points in the positive x direction. Find out the direction and magnitude of the following vectors.
Determine an angle (in radians) through which the drill rotates during this period.
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