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Forensic Medicine · Firearm injuries: kinetic energy of the bullet
Sample itemTwo bullets of the same mass (10 g) are fired, one at 300 m/s and one at 600 m/s. Compared with the first, the kinetic energy of the second is:
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
D. Four times as great (1800 J versus 450 J)
Kinetic energy is half mass times velocity squared. For 0.01 kg at 300 m/s it is 0.5 x 0.01 x 90,000 = 450 J; at 600 m/s it is 0.5 x 0.01 x 360,000 = 1800 J. Doubling the velocity quadruples the energy, which explains the larger temporary cavity and tissue damage of high-velocity missiles.
Option by option
A. Eight times as great (3600 J versus 450 J)
Eight times would need energy to rise with the cube of velocity.
B. Equal, because the mass is the same
Mass is equal but velocity is not, and energy depends on velocity squared.
C. Twice as great (900 J versus 450 J)
Twice would be the result if energy were proportional to velocity.
D. Four times as great (1800 J versus 450 J) (correct)
Correct. Energy rises with the square of velocity, so doubling gives four times.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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