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A Coast Guard cutter detects an unidentified ship at a distance of 20.2 km in the direction 16.7° east of north. The ship is traveling at 24 km/h on a course at 40.1° east of north. The Coast Guard wishes to send a speedboat to intercept the vessel and investigate the vessel. If the speedboat travels 48.7 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north.
Once a traffic light turns green, a car speeds up from rest to 50 mi/h with constant acceleration 9 mi/h • s. In the adjoining bike lane, a cyclist speeds up from rest to 20mi/h with constant acceleration 13mi/h.
Find the current that flows if the same potential difference. A 63 kg trampoline artist jumps vertically upward from the top of a platform with the speed of 4.8 m/s. If the trampoline behaves like a spring of spring constant 6.2×10^4 N/m, how far ..
Find out the gravitational potential energy
When you take a bath, how many kilograms of hot water (51 °C) must you mix with cold water (14°C) so that the temperature of the bath is 36 °C? The total mass of water (hot plus cold) is 192kg. Avoid any heat flow between the water and its externa..
A hollow aluminium cylinder 20 cm deep has an internal capacity of 2.000 L at 20.00C. It is completely filled with turpentine and then warmed to 80.00C. (i) How much turpentine overflows? (ii) If it is then cooled back to 20.00 C, how far below th..
Two cars were firstly at rest and side-by-side between two photogates. The mass of cart 1 was 0.505kg. The spring was activated and two carts moved away from one another, passing through the photogates and producing the readings as shown below. Find ..
We know that a spherical charged particle of will have an external electric field of E = k q/r2, where k = 8.988×109N·m2·C-2 is the Coulomb constant, q is the charge, and r is the distance from the center of the spherical particle.
What horizontal force P must a worker exert on the rope to position 50 kg. crate directed over the trailer.
What is the minimum coefficient of friction that will prevent sliding. What should be the highest speed of the car so it can round the curve safely.
what happens to light of a particular frequency when it is incident upon the material that natural frequency is the same as the frequency of the light.
A styrofoam cooler (k = 0.030 W/(m·K)) has outside dimensions of 0.270 m by 0.230 m by 0.280 m, and an average thickness of 2.6 cm. About how long would it take for 1.60 kg of ice at 0 °C to melt in the cooler if the outside temperature is 30.0 °C..
An object of mass 555 grams sitting on a plane inclined at 35 degrees doesn't slide. Now the plane is lifted to the angle of 50 degrees and the object slides down plane knowing that the coefficient of kinetic friction is 0.44, find out the coefficien..
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