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
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Introduction
Section: Chapter Questions
Problem 9WUE
Related questions
Topic Video
Question
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°
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Given data
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
VIEWSolution
VIEW
Trending now
This is a popular solution!
Step by step
Solved in 8 steps with 7 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning