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Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle phi south of east (as indicated in the figure). After the collision, the two-car system travels at speed v_final at an angle theta east of north. What is the angle theta with respect to north made by the velocity vector of the two cars after the collision? Express your answer in terms of phi. Your answer should contain an inverse trigonometric function using the notation asin, atan etc. and not arcsin, arctan etc.
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 23.0 m/s at an angle 28.0 degrees; find What is the distance between the two girls
A swimming pool requiring a 2.0 hp motor to filter and circulate the water runs for 18 hours a day. What is the monthly electricity cost for running this pool pump
Particle A has a mass of 5.5 g, particle B has a mass of 1.3 g. Particle A is located at the origin, particle B at the point (x, y) = (25 cm, 0). What is the location of the center of mass
A 0.15 kg ball hits a wall with a velocity of (4.00 m/s) + (6.50 m/s) + (5.00 m/s) . It rebounds from the wall with a velocity of (2.00 m/s) + (3.50 m/s) + (-3.20 m/s). What is the change in the ball's momentum
A source of radio waves is emitted from the center point of our galaxy 1.9 x 104 light years away. Nine picowatts of power from these waves blanket the surface of the Earth facing the center point.
Two identical conducting spheres, fixed in place, attract each other with a force of 0.094 N when their center to center separation is 60.00 cm. What was the initial negative charge on one of the spheres
A golf club has a lightweight flexible shaft with a heavy block of wood or metal (called the head of the club) at the end. A golfer making a long shot off the tee uses a driver, What is the speed of the club head immediately after the collision
A vector has an x component of -24.0 units and a y component of 36.4 units. Find the magnitude and direction of this vector
A bowling ball with a diameter of 21.0cm is rolling down a level alley surface at 11.4m/s without slipping. If it now starts to roll up a 30 degree incline, how far up the incline will it travel before it stops
Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. What is the mass of the star
In a certain series RLC circuit being driven at a frequency of 60.0 Hz, By what phase angle does the current lag the generator emf
A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road, How far has the bicyclist traveled during the entire trip and What is the average speed of the bicyclist for the trip
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