Calculating Relative Speed of Body Parts After Internal Explosion

In summary, an explosion that splits a body m1 + m2 into two parts, m1 and m2, generates kinetic energy K. If the two parts move in the same line after the explosion, the speed of one part relative to the other can be calculated using the formula Square root of ( 2K(m1+m2)/m1m2). This can be derived by first considering that the initial momentum of the system is equal to 0, and then using the conservation of momentum and kinetic energy equations to solve for the final speeds of the two parts.
  • #1
r162
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Homework Statement


A body m1 + m2 is split into 2 part m1 and m2 by internal explosion which generate kinetic energy K. If they move in the same line after explosion, show the speed of one part relative to the other part is Square root of ( 2K(m1+m2)/m1m2)


Homework Equations





The Attempt at a Solution

 
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  • #2
Do you need the solution? Or guide lines. The first thing that you should think when it says internal is ΔP=0.

Also what really caught my attention is the relative to the other part means..
 
  • #3
You know the kinetic energy is K, which you can express in terms of the final speeds of the two parts. Since no external force is present, momentum must be conserved. Now you have two equations and two unknowns; the system of equations should now be easy to solve.
 
  • #4
thx so much
 

1. What causes an internal explosion of a body?

The most common cause of an internal explosion of a body is a buildup of gas or pressure within the body, which can be caused by a variety of factors such as infection, trauma, or medical procedures. In some cases, the body may also experience a spontaneous rupture due to underlying health conditions.

2. What are the symptoms of an internal explosion of a body?

The symptoms of an internal explosion of a body can vary depending on the location and severity of the explosion. However, common symptoms may include severe pain, swelling, bleeding, difficulty breathing, and changes in skin color or temperature. If you suspect an internal explosion, seek medical attention immediately.

3. Can an internal explosion of a body be fatal?

In some cases, an internal explosion of a body can be fatal if it is not treated promptly. The severity of the explosion and the location of the affected area can greatly impact the outcome. Internal explosions in vital organs such as the heart, lungs, or brain can be life-threatening and require immediate medical intervention.

4. How is an internal explosion of a body diagnosed?

An internal explosion of a body is typically diagnosed through imaging tests such as X-rays, CT scans, or ultrasounds. In some cases, a physical exam and medical history may also be used to diagnose an internal explosion. It is important to seek medical attention if you experience any symptoms of an internal explosion.

5. How is an internal explosion of a body treated?

The treatment for an internal explosion of a body will depend on the location and severity of the explosion. In most cases, surgery is required to repair any damage and remove any debris or foreign objects. Antibiotics may also be prescribed to prevent infection. In some cases, ongoing medical treatment and monitoring may be necessary to ensure proper healing.

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