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Published byBertram Caldwell Modified over 8 years ago
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Types of Collisions Elastic Two objects collide and bounce off each other Inelastic Two objects collide and stick together Explosion One object separates into two fragments
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m1m1 m2m2 After Collision v1'v1' v2'v2' Two-Dimensional Collisions
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Example: A 2.00-kg ball, A, is moving at a speed of 5.00 m/s. It collides in a glancing collision with a stationary ball, B, of the same mass. After the collision, A moves off in a direction 30.0º to the left of its original direction. Ball B moves off in a direction 90.0º to the right of ball A's final direction. How fast are they moving after the collision? Solution: 1. Sketch the before and after states Before A B v A1 v B1 =0 A B After v A2 v B2
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2. Draw a momentum vector diagram. Note that p A2 and p B2 form a 90º angle. 90ºp A2 30º p B2 p2p2 3. Perform calculations in one direction (x or y): Determine initial momenta in x direction: p A1 = m a v a1 = (2.00 kg)(5.00m/s) = 10.0 kgm/s p B1 = 0 Find p 2 : p 2 = p 1 = 10.0 kgm/s p A1 p B1
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Find p A2x and p B2x. after colliding p A2 x = p 2 cos 30.0° p B2x = p 2 sin 30.0° = (10.0 kgm/s)(0.866) = (10.0 kgm/s)(0.500) = 8.66 kgm/s = 5.00 kgm/s Find final speeds. p A2 m A v A2 = v B2 = p B2 m B = 8.66 kgm/s 2.00 kg = 5.00 kgm/s 2.00 kg = 4.33 m/s= 2.50 m/s 90ºp A2 30 º p B2 p2p2
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