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An air traffic controller has two aircraft on radar. The first is at an altitude of 0.500 km, a horizontal distance of 3.00 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 35.0° east of north. Write the displacement vector from aircraft 1 to aircraft 2 in "cylindrical" coordinates. That is, write a 3-component vector (r, ?, z) whose first two components are the 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.
Assume you wish to send a 200 bytes long message from your equipment to a friend's machine via four intermediate nodes. You are needed to use a header size of 5 bytes per packet.
A driver in a car travelling at a speed of 58.0 mi/h sees a deer 126 m away on the road. Calculate the minimum constant acceleration that is necessary for the car to stop without hitting the deer (assume that the deer does not move in the meantime).
find the horizontal distance the ball would travel if the same spring were aimed 32.0 deg from the horizontal.
What is the magnitude of the acceleration of the anvil. find the mass of the planet from this information.
An object of mass m is attached to a horizontal spring, stretched to a displacement A from equilibrium and released, undergoing harmonic oscillations on a frictionless surface with period T0. The experiment is then repeated with a mass of 4m. The sub..
A tank of water sits at the edge of a table of height 1.6 meter. The tank springs a very small leak at its base, and water sprays out a distance of 1.1 meters from edge of the table. What is the water level in the tank.
After being accelerated to a speed of 1.84×105, the particle enters a uniform magnetic field of strength 1.00 and travels in a circle of radius 35.0. The results of this experiment allow one to find.
How fast must the car be travelling just as it leaves the cliff in order to clear the river and land safely on the opposite side.
A snowboarder is pulled by a tow rope along a horizontal surface with a constant force of 60 N. How far must the boarder be pulled, starting from rest, so that her final kinetic energy is 500 J.
A pet-store supply truck moves at 25m/s north along a highway. Inside, a dog moves at 1.85m/s at an angle of 35° east of north. What is the velocity of the dog relative to road.
find the work done to move the particle from x = 0 to x = 10.0 m by graphically determining the area under the F versus x graph. (Do this on paper. Your instructor may ask you to turn in this graph.)
Let us take half the terminal speed as a reasonable "upper bound" beyond which we should not use our constant acceleration free-fall relationships.
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