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A 270-m-wide river flows due east at a uniform speed of 4.0 m/s. A boat with a speed of 8.5 m/s relative to the water leaves the south bank pointed in a direction 39o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river?
A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. What is the length of the rotating string in meters
An entertainer, when performing a bubble trick, forms one bubble inside another. The surface tension of the bubble liquid is ?=0.04 N m-1. calculate the gauge pressure in the inner bubble
The moon orbits the earth at a distance of 3.85 x 108 m. Assume that this distance is between the centers of the earth, Find the period for the moon's motion around the earth
A rocket which has an exhaust speed of 8 km/s is to have a lift off vertical acceleration of 8 m/s^2 from the NASA launch pad. at what minimum rate must the rocket consume fuel
A carnot engine operates between a hot reservoir at 310 K and a cold reservoir at 280 K. If it absorbs 500 J of heat at the hot reservoir, how much work (in joules) does it deliver?
A 2.7 kg object oscillates with simple harmonic motion on a spring of force constant 510.0 N/m. What is the total energy of the object and the spring
A tennis ball connected to a string is spun around in a vertical, circular path at a uniform speed, What is the magnitude of the tension in the string when the ball is at the bottom of the circle
A wave on the surface of the ocean with wavelength 44m is travelingeast at a speed of 18m/s relative to the ocean floor. If on, this stretch of ocean surface, a powerboat is moving 15m/s (relative tothe ocean floor), how often does the boat encoun..
A beam of light is emitted in a pool of water from a depth of 64.0 cm. How far away, relative to the spot directly above it, must it strike the air-water interface in order that the light does not exit the water?
An electric dipole is formed from ±1.0nCcharges spaced 2.00mm apart, What is the electric field strength at the points (x, y) = (14.0 cm , 0 cm),(x, y) = (0 cm, 14.0 cm)
A battery supplies 0.71 A to three resistors connected in parallel. What is the exact current (in A) through the third resistor
An electric dipole is formed from two charges, , spaced 1.50cm apart. The dipole is at the origin, oriented along they-axis. What is the electric field strength at the point
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