Step 1:
Identify the given values:
- Heat energy received by the system, \( Q = 107 \) J
- Work produced by the system, \( W = 4 \times 10^6 \) J
- Initial velocity, \( v_1 = 10 \) km/s = \( 10,000 \) m/s
- Final velocity, \( v_2 = 25 \) km/s = \( 25,000 \) m/s
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