A stationary object in space explodes into three parts of unequal mass. Which of the following statements is true about the three parts immediately after the explosion? a. The sum of their kinetic energies is zero and the vector sum of their momenta is zero b. The vector sum of their momenta is zero but the sum of their kinetic energies is not zero c. The sum of their kinetic energies is zero but the vector sum of their momenta is not zero d. Neither the sum of their kinetic energies nor the vector sum of their momenta is zero

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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A stationary object in space explodes into three parts of unequal mass. Which of the following statements is true about the three parts immediately after the explosion?

 
a. The sum of their kinetic energies is zero and the vector sum of their momenta is zero
b. The vector sum of their momenta is zero but the sum of their kinetic energies is not zero
c. The sum of their kinetic energies is zero but the vector sum of their momenta is not zero
d. Neither the sum of their kinetic energies nor the vector sum of their momenta is zero
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