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A system consists of three identical 19.32-lb particles 1, B, and C. The velocities of the particles are, respectively,
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Vector Mechanics For Engineers
- Collision at an Angle To apply conservation of linear momentum in an inelastic collision. Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at a speed 2v, while the second was traveling in a southeastern direction at an angle ϕ with respect to the east-west direction and at a speed v. After the collision, the two-car system travels in a northeastern direction at an angle θ with respect to the north-south direction and at a speed v final. Find v final, the speed of the joined cars after the collision. Express your answer in terms of v and ϕ.arrow_forwardCollision at an Angle To apply conservation of linear momentum in an inelastic collision. Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at a speed 2v, while the second was traveling in a southeastern direction at an angle ϕ with respect to the east-west direction and at a speed v. After the collision, the two-car system travels in a northeastern direction at an angle θ with respect to the north-south direction and at a speed v final. What is the angle θ (with respect to north) made by the velocity vector of the two cars after the collision? Express your answer in terms of ϕ. Your answer should contain an inverse trigonometric function.arrow_forward4. A 3-kg ball is attached to a rope connected to the center of a table and initially travelling in a circle of constant radius 4 m with a speed of 3 m/s. The rope is then pulled inward through a hole in the center of the table with a constant speed of 1 m/s. Determine the ball's velocity and speed at the instant that its distance from the center of the table is 2 m. Also calculate the amount of work done by the rope. Neglect friction.arrow_forward
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