hen analyzing collisions using the law of conservation of momentum, the same principles that allow us to analyze collisions in one dimension can also be used to analyze collisions in two dimensions. To do this, you must separately apply the law of conservation of momentum in the x- and y-directions. Use the following example to practice this process: Two football players are about to collide with one another. Player 1 has a mass of 98.1 kg and is moving with a velocity of 4.52 m/s, 21.5° east of north. Player 2 has a mass of 79.4 kg and is moving with a velocity of 5.15 m/s, 8.55° east of south. Find the x- and y-components of the momentum of each player. What is the sum of the momenta in each dimension? If, when the players collide, they hold onto each other and move as a single unit, what will be the velocity vector of that single unit? Suppose that the two players collide, and bounce off each other. If player 2 is sent backwards with a velocity of 1.77 m/s, 15.5° west of north, what will be the velocity vector of payer 1 immediately after the collision.

hen analyzing collisions using the law of conservation of momentum, the same principles that allow us to analyze collisions in one dimension can also be used to analyze collisions in two dimensions. To do this, you must separately apply the law of conservation of momentum in the x- and y-directions. Use the following example to practice this process: Two football players are about to collide with one another. Player 1 has a mass of 98.1 kg and is moving with a velocity of 4.52 m/s, 21.5° east of north. Player 2 has a mass of 79.4 kg and is moving with a velocity of 5.15 m/s, 8.55° east of south. Find the x- and y-components of the momentum of each player. What is the sum of the momenta in each dimension? If, when the players collide, they hold onto each other and move as a single unit, what will be the velocity vector of that single unit? Suppose that the two players collide, and bounce off each other. If player 2 is sent backwards with a velocity of 1.77 m/s, 15.5° west of north, what will be the velocity vector of payer 1 immediately after the collision.

Similar questions

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A projectile has undergone an elastic one-dimensional collision with an initially stationary target, along an x axis. The figure below is a graph of position versus time for the projectile and target, before and after the collision. (Two line segments are parallel to the time axis.) Which is true about the masses of the projectile and target? 4 O the projectile's mass is greater O the target's mass is greater O the masses are equal
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Carry Collision Insurance! A 1,906 kg car stopped at a traffic light is struck from the rear by a 953-kg car. The two cars become entangled, moving along the same path as that of the originally moving car. If the smaller car were moving 26.7 m/s before the collision, what is the velocity of the entangled cars after the collision? (Assume the smaller car initially moves in the positive direction.) SOLUTION Conceptualize This kind of collision is easily visualized, and one can predict that after the collision both cars will be moving in the same direction as that of the initially moving car. Because the initially moving car has only half the mass of the stationary car, we expect the final velocity of the cars to be relatively Categorize We identify the two cars as an isolated system in terms of momentum in the horizontal direction and apply the impulse approximation during the short time interval of the collision. The phrase "become entangled" tells us to categorize the collision as…
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Blocks A and B are moving toward each other on a horizontal, frictionless surface. Block A has a mass of 5 kg and a velocity of +40 m/s, while B has a mass of 10 kg and a velocity of -6 m/s. They suffer a head on, completely inelastic collision. What is the common speed of the blocks after the collision.
Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at vOi = 5.80 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of ? = 34.0° with the horizontal axis while the green disk makes an angle of ? = 56.0° with this axis as in Figure b. Determine the speed of each disk after the collision.