Splitting an Asteroid: Calculating Alterations in Course with Explosive Charge

In summary, the conversation discusses using the laws of physics and choosing an inertial frame to calculate the effects of an explosive charge breaking up an asteroid into two pieces of different masses. By choosing the rest frame of the asteroid, the initial speed can be assumed to be zero and the fragments will go at opposite angles. This is helpful advice for an upcoming exam.
  • #1
TheTourist
25
0
An explosive charge breaks up an asteroid into two pieces, of 2x1012kg and 3x1012kg respectively. If the first alters course by 2ms-1, by how much does the second alter course?



I really don't know where to start on this. It must be about conservation of momentum, but i don't get how to do this without an angle or initial speed.
 
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  • #2
Welcome to PF!

Hi TheTourist! Welcome to PF! :wink:

The laws of physics work in any inertial frame, so choose whatever inertial frame makes the calculations easiest.

In this case, choose the rest frame of the asteroid …

then its initial speed is zero, and the fragments will go at opposite angles. :smile:
 
  • #3
Thats great thanks, got the exam this morning so that was some good advice!
 

Related to Splitting an Asteroid: Calculating Alterations in Course with Explosive Charge

1. How can we accurately calculate the alteration in course of an asteroid using an explosive charge?

In order to accurately calculate the alteration in course of an asteroid, we must first determine the mass and velocity of the asteroid. Then, using the known properties of the explosive charge, we can calculate the force and direction of the explosion. This information can then be used to predict the resulting change in course of the asteroid.

2. What factors can affect the accuracy of our calculations?

There are several factors that can affect the accuracy of our calculations. These include uncertainties in the mass and velocity of the asteroid, variations in the properties of the explosive charge, and external forces such as gravity and solar radiation.

3. Can we use the same method for all types of asteroids?

The method for calculating alterations in course with an explosive charge can be applied to most types of asteroids. However, the specific calculations may vary depending on the size, shape, and composition of the asteroid.

4. How do we determine the ideal location for detonating the explosive charge?

The ideal location for detonating the explosive charge will depend on the specific properties of the asteroid and the desired change in course. Generally, the explosive should be placed at a point where the resulting force will have the greatest impact on the asteroid's trajectory.

5. What safety precautions should be taken when attempting to split an asteroid with an explosive charge?

Splitting an asteroid with an explosive charge can be a dangerous undertaking and should only be attempted by trained professionals. Proper safety precautions, such as using remote detonation methods and ensuring a safe distance from the explosion, should be followed to minimize any potential risks.

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