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1. A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and D, as the drawing indicates. The magnitudes of the first three vectors are A = 3.20 km, B = 5.10 km, and C = 4.80 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find the distance of the fourth leg and the angle θ.
Two resistors when connected in series to a 110 line use one-fourth the power that is used when they are connected in parallel. calculate what is the resistance of the other
A particular space tether is a wire made from aluminum (resistivity 2.7e-8 omega•m, density 2700 kg/m3). Obtain what power is produced by the tether's motion through the magnetic field
The coil in a 60-Hz ac generator has 125 turns, each having an area of 3.0 × 10-2 m2 and is rotated in a uniform 0.12-T magnetic field
A 70kg block is pushed 5m up an incline against a friction force of 50N. The block is pushed to a height 1m above the ground. How much work is done by the person on the block pushing it up the incline
Consider a piece of an n-type semiconductor 15 cm long. 0.7 cm wide, and 1.5 mm (hick. If we apply a 0.35 V voltage across the length, we find that the material conducts a current of 15 mA. If we then put it in a magnetic Held of 1.2 Tesla paralle..
At an air show, a jet plane has velocity components vx = 715km/h and vy = 505km/h at time 4.20s and vx = 838km/h and vy = 390km/h at time 6.92s. Find the magnitude of its average acceleration
A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle ? = 30.0o. The sphere has mass M = 8.0 kg and radius R = 0.19 m . The coefficient of static friction between the sphere and the plane is ?..
Because the Earth is curved, would an observer on the eastern edge of the Eastern Standard Time zone see an object appear to rise before or after an observer at the 75th longitude circle?
Use the work-energy theorem to find out how high it will be when its speed has been reduced to half of its initial value. Please provide step-by-step process.
a gymnast of mass 64.0rm kg hangs from a vertical rope attached to the ceiling. you can ignore the weight of the rope
A model rocket is constructed with a motor that can provide a total impulse of 36.0 N•s. The mass of the rocket is 0.104 kilogram. Find the speed that this rocket achieves
A piece of aluminum (specific heat 910 J/kg degrees C) of mass 200 g at 80.0 degree C is dropped into a Styrofoam cup filled with 100 mL of water at 20 degree C
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