Three particles break off after an explosion

In summary, an object with a total mass of 20 kg explodes into three pieces, with the first piece of 5 kg moving northwest at an angle of 20° above the -x axis with a speed of 30 m/s, the second piece of 4 kg moving southeast at an angle of 25° to the right of the -y axis at a speed of 25 m/s, and the third piece with a mass of 11 kg. Using the equations for momentum (p=mv) and kinetic energy (KE=0.5*m*v^2), it can be determined that the x-component of the third piece's momentum is 98.692 and the y-component is -39.32. Additionally,
  • #1
hime
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Homework Statement


An object with total mass mtotal = 20 kg is sitting at rest when it explodes into three pieces.
The first piece with mass m1 = 5 kg moves NW at an angle of θ1 = 20° above the –x axis with a speed of v1 = 30 m/s.
A second piece with mass m2 = 4 kg moves SE at an angle of θ2 = 25° to the right of the -y axis at a speed of v2 = 25 m/s.
The mass of the third piece is 11kg.
What is the x-component and y component of the velocities of the third piece?
What is the change in kinetic energies of the pieces after the collision.
Note that momentum is conserved and Pf=0.


Homework Equations



p=mv
pi=pf=0
KE=0.5*m*v^2
KE=0.5*p^2/m

The Attempt at a Solution



In x direction--> calculating the momentum
m1v1cos20=m2v2sin25+Px where Px is the momentum of the third particle in x direction
5*30*cos20=4*25*sin25+Px
Px=98.692

In x direction--> calculating the momentum
m1v1sin20=m2v2cos25+Py where Py is the momentum of the third particle in x direction
5*30*sin20=4*25*cos25+Px
Py=-39.32
 
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  • #2
Did you use Pf=0?
 

Related to Three particles break off after an explosion

What causes particles to break off after an explosion?

Particles break off after an explosion due to the sudden release of energy, which creates a shockwave that causes objects to be propelled in various directions.

How many particles can break off after an explosion?

The number of particles that break off after an explosion depends on various factors such as the type of explosion, the amount of energy released, and the surrounding environment. It can range from a few to thousands of particles.

What determines the direction in which particles break off after an explosion?

The direction in which particles break off after an explosion is determined by the direction and force of the shockwave, as well as the location and orientation of the objects in relation to the explosion.

Can particles reattach after breaking off in an explosion?

In some cases, particles that break off after an explosion can reattach if they are small enough and the force of the explosion was not strong enough to completely disintegrate them. However, in most cases, particles will not reattach after an explosion.

What are the potential dangers of particles breaking off after an explosion?

The potential dangers of particles breaking off after an explosion include physical harm to living beings and damage to surrounding structures. These particles can also cause secondary explosions or fires if they come into contact with flammable materials.

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