Is it true or false that momentum is conserved when total mechanical energy is conserved?

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1. Is it true or false that momentum is conserved when total mechanical energy is conserved?
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2. Momentum is conserved whenever total mechanical energy is conserved.I believe this is false. Am I correct?
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3. You drop an egg from rest with no air resistance.As it falls, a. only its momentum is conserved. b. only its kinetic energy is
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4. Which of the following statements is true for an elastic collision?A. Both momentum and kinetic energy are conserved. B.
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