Please show all steps 0 19. A shell explodes into two fragments, one fragment 25

Question

Please show all steps 0 19. A shell explodes into two fragments, one fragment 25 times heavier than the ther. If any gas from the explosion has negligible mass, then 2 m lighter fragnientiskelime change of the heavier fragment. change of the lighter fragment. change of the heavier fragment. s as great as the momentum s as great as the momentum ge of the lighter fragment is exactly the same as the momentum 2. the momentum chan D. E. the kinetic energy change the kinetic energy change of the heavier fragment is 25 times as great as the kinetic energy change of the lighter fragment of the lighter fragment is 25 times as great as the kinetic energy change of the heavier fragmen

Explanation / Answer

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.

Ans (E)

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