You are analyzing the possible defenses for an asteroid that is going to crash into Earth. Initially, the asteroid of mass m, is traveling to the left with speed. A missile of mass mm with initial velocity v to the right collides with the asteroid, and embeds itself inside the asteroid. See the figure below. mi Find the common final velocity of the missile and asteroid after the collision. Use an x axis with positive pointing to the right. Solve algebraically first, then use the following values for the parameters to get a value for vx: m =9.2000E+9 kg m =3.6800E+8 kg x=-1400 m/s = 11899 m/s =-8.88500×102 m/s.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 53CP
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2-D Collision and Explosion:

Use the given values (masses of the two pieces (m1  and m2 ), the angles, the total mass before the explosion) and vf x (the velocity after the collision that you found above) to solve for the final speeds of the two pieces. 

The missile then explodes, causing the asteroid to break into two chunks of mass
and
02
and ), the angles, the total mass before the explosion, and v; (the velocity after the
Solve algebraically for the final speeds of pieces 1 and 2 in terms of the masses of the two pieces (
collision that you found above).
Then use the following values for the parameters to get values for the speeds:
= 1.9136E+9 kg
m1
m, = 7.6544E+9 kg
36.6 degrees
57.8 degrees
Transcribed Image Text:The missile then explodes, causing the asteroid to break into two chunks of mass and 02 and ), the angles, the total mass before the explosion, and v; (the velocity after the Solve algebraically for the final speeds of pieces 1 and 2 in terms of the masses of the two pieces ( collision that you found above). Then use the following values for the parameters to get values for the speeds: = 1.9136E+9 kg m1 m, = 7.6544E+9 kg 36.6 degrees 57.8 degrees
2-D Collision and Explosion
You are analyzing the possible defenses for an asteroid that is going to crash into Earth.
Initially, the asteroid of mass ma is traveling to the left with speed vai . A missile of mass mm with initial velocity vmi to the right collides with the asteroid, and embeds itself inside the asteroid. See the figure
below.
ai
Find the common final velocity of the missile and asteroid after the collision.
Use an x axis with positive pointing to the right.
Solve algebraically first, then use the following values for the parameters to get a value for
Vf x
ma = 9.2000E+9 kg
3.6800E+8 kg
= -1400 m/s
11899 m/s
mm =
V.
ai x
V,
I|
mi x
Vf x
-8.88500×10² m/s
Transcribed Image Text:2-D Collision and Explosion You are analyzing the possible defenses for an asteroid that is going to crash into Earth. Initially, the asteroid of mass ma is traveling to the left with speed vai . A missile of mass mm with initial velocity vmi to the right collides with the asteroid, and embeds itself inside the asteroid. See the figure below. ai Find the common final velocity of the missile and asteroid after the collision. Use an x axis with positive pointing to the right. Solve algebraically first, then use the following values for the parameters to get a value for Vf x ma = 9.2000E+9 kg 3.6800E+8 kg = -1400 m/s 11899 m/s mm = V. ai x V, I| mi x Vf x -8.88500×10² m/s
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