**Asteroid Collision Dynamics**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 \( v_{A1} = 40.0 \, \text{m/s} \) with respect to an inertial frame in which asteroid \( B \) was at rest, is deflected \( 30.0^\circ \) from its original direction, while asteroid \( B \) travels at \( 45.0^\circ \) to the original direction of \( A \), as shown in Figure 1.**Figure Explanation**The figure illustrates the collision:- **Asteroid \( A \)** is shown approaching asteroid \( B \) with an initial velocity of \( 40.0 \, \text{m/s} \).- After the collision, asteroid \( A \) changes direction, moving at an angle of \( 30.0^\circ \) from its initial path.- Asteroid \( B \), initially at rest, moves away at an angle of \( 45.0^\circ \) relative to the original path of asteroid \( A \). The diagram visually represents these angles and the movement directions with arrows, indicating the velocities and the paths post-collision. ### Part A**Find the speed of asteroid \( A \) after the collision.***Express your answer in meters per second.*\[ v_{A2} = \, \_\_\_ \, \text{m/s} \][Submit] [Request Answer]---### Part B**Find the speed of asteroid \( B \) after the collision.***Express your answer in meters per second.*\[ v_{B2} = \, \_\_\_ \, \text{m/s} \][Submit] [Request Answer]---### Part C**What fraction of the original kinetic energy of asteroid \( A \) dissipates during this collision?**\[ \frac{K_{\text{diss}}}{K_{\text{origin}}} = \, \_\_\_ \][Submit] [Request Answer]

Answered: Image /qna-images/answer/8854a7e9-7ba5-4abe-b9a1-79aaf6bfc4a7.jpg

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).

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).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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