The x components of the average accelerations?

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An 8.5-kg object sliding at 2.34 m/s splits into two equal chunks due to an internal explosion, adding 12 J of kinetic energy. The average accelerations of the chunks during the explosion are calculated using conservation of momentum and kinetic energy principles. Initial momentum is given by the mass times initial velocity, while final velocities are derived from the equations involving kinetic energy and momentum conservation. The correct final velocities are essential for determining the average accelerations, which should have equal magnitudes and opposite signs. The calculations are complex, requiring careful manipulation of equations to arrive at accurate results.
  • #31
emily081715 said:
i got accelerations now of 7.1 and -7.1 m/s^2
is this correct
Still doesn't seem correct. What values of ##v_1## and ##v_2## did you get?
 
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  • #32
1.204198 and 3.475
 
  • #33
emily081715 said:
1.204198 and 3.475
Those are not correct.

What do those give for the change in kinetic energy?
 
  • #34
emily081715 said:
Or would you have to turn it into 21.904-9.36v1 -v1^2
That last term should be positive:

21.904 - 9.36v1 + v12
 

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