At a crime scene, the forensic inestigator notes that 7.7-glead bullet that was

Question

At a crime scene, the forensic inestigator notes that 7.7-glead bullet that was stopped in a door-frame apparently meltedcompletely on impact.
Assuming the bullet was fired at room temperature of 20°C,what does the investigator calculate the minimum muzzle velocity ofthe gun was? At a crime scene, the forensic inestigator notes that 7.7-glead bullet that was stopped in a door-frame apparently meltedcompletely on impact.
Assuming the bullet was fired at room temperature of 20°C,what does the investigator calculate the minimum muzzle velocity ofthe gun was?

Explanation / Answer

let the minimum muzzle velocity of the gun be v the energy released when the bullet was fired at roomtemperature of 20°C is Q = m * s * t m = 7.7-g = 7.7 * 10-3 kg s = 128 J/kg/K t = 20 oC = (20 + 273) K = 293 K the amount of energy released is equal to the kinetic energyof the bullet therefore we get Q = (1/2)m * v2 or m * s * t = (1/2)m * v2 or v = (2 * s * t)1/2 or m * s * t = (1/2)m * v2 or v = (2 * s * t)1/2

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