Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at vA1 = 40.0 m/s with respect to an inertial frame in which asteroid B was at rest, is deflected 30.0 from its original direction, while asteroid B travels at 45.0 to the original direction of A, as shown in (Figure 1). Find the speed of asteroids A and B after the collision. What fraction of the original kinetic energy of asteroid A dissipates during this collision?
Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at vA1 = 40.0 m/s with respect to an inertial frame in which asteroid B was at rest, is deflected 30.0 from its original direction, while asteroid B travels at 45.0 to the original direction of A, as shown in (Figure 1). Find the speed of asteroids A and B after the collision. What fraction of the original kinetic energy of asteroid A dissipates during this collision?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at vA1 = 40.0 m/s with respect to an inertial frame in which asteroid B was at rest, is deflected 30.0 from its original direction, while asteroid B travels at 45.0 to the original direction of A, as shown in (Figure 1). Find the speed of asteroids A and B after the collision. What fraction of the original kinetic energy of asteroid A dissipates during this collision?
Transcribed Image Text:A
40.0 m/s
A
B
30.0⁰
-T-
45.0°
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VIEWStep 2: Apply the law of conservation of momentum along the horizontal
VIEWStep 3: Apply the law of conservation of momentum along the vertical
VIEWStep 4: Calculate the velocity of asteroid A after the collision
VIEWStep 5: Calculate the velocity of asteroid B after the collision
VIEWStep 6: Calculate the dissipated kinetic energy of asteroid A during collision
VIEWStep 7: Calculate fraction of kinetic energy of asteroid A dissipated during collision
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