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A small boat is headed for a harbor 30 km directly northwest of its current position when it is suddenly engulfed in heavy fog. The captain maintains a compass bearing of northwest and a speed of 9.4 km/h relative to the water. The fog lifts 3.0 h later and the captain notes that he is now precisely 4.2 km south of the harbor.
a) What was the average speed of the current through those 3.0 h?
b) In what direction should the boat have been heading to reach its destination along a straight course?
c) What would its travel time have been if it had followed a straight course?
A movie star catches a reporter shooting pictures of her at home. She claims the reporter was trespassing. To prove her point, shegives as evidence the film she seized. Her 1.77 m height is 8.29 mm highon the film, and the focal length of the came..
A 68 kg diver steps off a 12 m tower and drops from rest straight down intothe water. If he comes to rest 4.0 mbeneath the surface, determine the average resistance force exertedon him by the water.
A gas is allowed to expand at constant pressure until it reaches its final volume. It is then cooled at constant volume until it reaches its final pressure. Find the heat absorbed by the gas during this process
A box of weight Fg=2N accelerates down a rough plane that isinclined at an angle %u03C6=30 degrees above the horizontal, What is the work Wgrav done on the box by gravity
A single-turn plane loop of wire with a corss-sectional area 200cm^2 is perpendicular to a magnetic field that increases uniformly from 0.200T to 2.800T in 2.20 seconds. What is the magnitude of the induced current if the resistance of the coil is 8...
A cooler contains 12 cans of soda at 5oC. Each soda has mass 0.35 kilogram and a specific heat capacity of 3800J/kgC. find the final temperature of the watermelon and soda
If a bar is used as a first class lever and the fulcrum is 15 inches from the load and48 inches from the applied effort, how much effort is requird to raise a load of 240 pounds
A helicopter is ascending vertically with a speed of 5.03m/s. How much time does it take for the package to reach the ground
AN 830 kilogram sports car can drive around an unbanked turn at a max. speed of 58 m/s without slipping. Find the maximum speed if no down force acted on the car
At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.2 m/s2. How fast will the automobile be traveling at that instant
A visual inspection of an insect with mass 0.4mg (milligrams) suggest that its uncertainty in postion is 0.5um, How fast could the insect be moving
a simple harmonic oscillator of amplitude 6.4mm and frequency 80 hz is attached to the left end of a spring of linear
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