What is the Speed of the Composite Particle After Collision?

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In summary, a 2 mass collision refers to the collision between two objects with different masses. The speed in this type of collision can be calculated using a specific formula and can be negative if the objects have opposite initial velocities. The conservation of momentum states that the total momentum before and after the collision remains constant. The mass of the objects directly affects the final speed in a 2 mass collision, along with other factors such as initial velocities and the coefficient of restitution.
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abcbeck88
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A particle A of mass 1.6kg collides with another particle B of mass 2.5kg. their initial velocities are u1=2.2i + 1j and u2=0.5i + 0.8j just before impact. After collision, they both merged and becoes a composite particle, which travel with a velocity of V.

calculate the spend |V| a scalar in m/s

stuck with this too! please help!
 
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  • #2
have you tried doing them in terms of i's and j's seperately? that should solve it.

and
[tex]|V| = \sqrt{ V_x^2 + V_y^2 } [/tex]
 

FAQ: What is the Speed of the Composite Particle After Collision?

What is a 2 mass collision?

A 2 mass collision is when two objects with different masses collide with each other. This type of collision can occur in various scenarios, such as two cars colliding or two particles colliding in a physics experiment.

How is speed calculated in a 2 mass collision?

The speed in a 2 mass collision can be calculated using the formula v = (m1u1 + m2u2) / (m1 + m2), where v is the final speed, m1 and m2 are the masses of the two objects, and u1 and u2 are the initial speeds of the two objects, respectively.

Can the speed in a 2 mass collision be negative?

Yes, the speed in a 2 mass collision can be negative. This can occur when the two objects have opposite initial velocities and collide, resulting in a final speed in the opposite direction.

What is the conservation of momentum in a 2 mass collision?

The conservation of momentum states that the total momentum of a system remains constant before and after a collision. In a 2 mass collision, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.

How does the mass of the objects affect the final speed in a 2 mass collision?

The mass of the objects directly affects the final speed in a 2 mass collision. The heavier object will have a smaller change in speed compared to the lighter object, as it has more inertia and is more difficult to accelerate. The final speed will also depend on the initial velocities of the two objects and the coefficient of restitution, which determines the amount of energy lost or conserved during the collision.

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