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Two bodies of masses 4 g and 16 g move with the same kinetic energy. Their linear momentum magnitudes are in the ratio n: 2. Find n.

1. 1
2. 2
3. 3
4. 4

Correct answer: 1

Solution

Since p = sqrt(2mK) and K is equal, the momentum ratio equals sqrt(m1/m2) = sqrt(4/16) = 1/2.

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