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THE INTERNATIONAL UNIVERSITY (IU) VIETNAM NATIONAL UNIVERSITY - HCMC ASSIGNMENT-ANSWER SUBJECT: PHYSICS 1 GROUP: 8-10 STUDENTS (To submit the 13th May 2016) Student Name:_______________________Student ID:___________________ 1/ (20 pts) A body of mass 1 kg and a body of mass 2 kg collide on a smooth horizontal surface. Before the collision the 1 kg body has velocity 3 m/s directed due north and the 2 kg body has velocity 5 m/s directed northeast (i.e. 45o east of due north). The two bodies stick together, forming a body of mass 3 kg. a/ Find the magnitude and direction of the velocity of the 3 kg body. b/ Is this collision elastic? Explain. 2/ (20 pts) A 2.50-kg textbook is forced against a horizontal spring of negligible mass and force constant 250 N/m, compressing the spring a distance of 0.250 m. When released, the textbook slides on a horizontal tabletop with coefficient of kinetic friction k = 0.30. Use the work-energy theorem to find how far the textbook moves from its initial position before coming to rest. 8.00 kg 3/ (20 pts) (20 pts) Consider the system shown in the Fig. 1. The rope and pulley have negligible mass, and the pulley is frictionless. Initially the 6.00-kg block is moving downward and the 8.00-kg block is moving to the right, both with a 6.00 kg speed of 0.900 m/s. The blocks come to rest after moving 2.00 m. Calculate the coefficient of kinetic friction between the 8.00-kg block and the tabletop. Fig. 1 4/ (20 pts) An object moving in the xy-plane is acted on by a conservative force 1 1 described by the potential-energy function U ( x, y) 2 2 , where is a positive constant. Derive an y x expression for the force expressed in terms of the unit vectors i and j of the xy-plane. 5/ (20 pts) A ball of mass 0.25 kg glances of a wall as shown in the diagram. The ball approaches at 15 m/s at θ = 30° and leaves at12 m/s at φ = 20°. The collision lasts for 15 milliseconds. (a) What is the impulse experienced by the ball? (b) What is the average force acting on the ball? The end