What fraction of the kinetic energy is converted to other forms in collision?

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SUMMARY

The discussion centers on a collision between two blocks, where block 1 (mass m1) collides with block 2 (mass m2 = 9m1) on a frictionless track. After the collision, block 1 sticks to block 2, resulting in a final velocity of 1/10v0 for the combined mass. The analysis reveals that 90% of the initial kinetic energy is converted to other forms, such as heat and sound, during the collision.

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  • Understanding of momentum conservation principles
  • Basic knowledge of kinetic energy calculations
  • Familiarity with elastic and inelastic collisions
  • Ability to perform algebraic manipulations and solve equations
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dawn_pingpong
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Homework Statement


there are 2 blocks along a frictionless track. block 1 has a mass of m1 and block 2 has a mass of m2. Block 1 is initially moving at a speed of v0. it collides and sticks to the initial stationary block 2. (m2=9m1) what fraction of the inital kinetic energ of the system is converted to other forms (heat, sound...) as a result of the collision?

1)1%
2)10%
3)50%
4)90%
5)95%


Homework Equations


I sort of think this as more of a general knowledge question... this is the 2nd part. the first part ask you to calculate the velocity after collision


The Attempt at a Solution

 
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The figure out part 2, you need to solve part 1.
 
the answer to part 1 is 1/10v0, if I'm not wrong. Used momentum formula.
 
dawn_pingpong said:
the answer to part 1 is 1/10v0, if I'm not wrong. Used momentum formula.

Correct. Now you just need to compute the total kinetic energies before and after the collision, and compare them.
 
yay yay thank you!

initial:final=1 x v^2 : 10 x (0.1v)^2=1:0.1
so 90% of KE was converted to other forms! Thank you once again:D
 

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