A shell explodes into two fragments, one fragment 25 times heavier than the othe

ID: 2261683 • Letter: A

Question

A shell explodes into two fragments, one fragment 25 times heavier than the other. If any gas from the explosion has negligible mass, then

Answer

the kinetic energy change of the heavier fragment is 25 times as great as the kinetic energy change of the lighter fragment.

the momentum change of the heavier fragment is 25 times as great as the momentum change of the lighter fragment.

the momentum change of the lighter fragment is 25 times as great as the momentum change of the heavier fragment.

the kinetic energy change of the lighter fragment is 25 times as great as the kinetic energy change of the heavier fragment.

the momentum change of the lighter fragment is exactly the same as the momentum change of the heavier fragment.

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the kinetic energy change of the heavier fragment is 25 times as great as the kinetic energy change of the lighter fragment.

the momentum change of the heavier fragment is 25 times as great as the momentum change of the lighter fragment.

the momentum change of the lighter fragment is 25 times as great as the momentum change of the heavier fragment.

the kinetic energy change of the lighter fragment is 25 times as great as the kinetic energy change of the heavier fragment.

the momentum change of the lighter fragment is exactly the same as the momentum change of the heavier fragment.

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KE = p^2/2m,

where p is the momentum

momentum is conserved, so it will not change

so p is same for both particles

KE1 = p^2/2m1

KE2 = p^2/2m2

but m1= 25 m2 if m1 is the larger particle

KE1/KE2 = 1/25

KE2 = 25 * KE1

so the kinetic energy change of the lighter fragment is 25 times as great as the kinetic energy change of the heavier fragment.

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