It is claimed that if a lead bullet goes fast enough, it can melt completely whe

Question

It is claimed that if a lead bullet goes fast enough, it can melt completely when it comes to a halt suddenly, and all its kinetic energy is converted into heat via friction. Find the minimum speed of a lead bullet (initial temperature = 25.0 It is claimed that if a lead bullet goes fast enough, it can melt completely when it comes to a halt suddenly, and all its kinetic energy is converted into heat via friction. Find the minimum speed of a lead bullet (initial temperature = 25.0 It is claimed that if a lead bullet goes fast enough, it can melt completely when it comes to a halt suddenly, and all its kinetic energy is converted into heat via friction. Find the minimum speed of a lead bullet (initial temperature = 25.0° C) for such an event to happen? (Use Lf = 2.32 x 104 J/kg and melting point = 327.3° C.) m/s

Explanation / Answer

let the initial velocity ,V

Kinetic energy = 1/2 M V^2

Specific heat of lead = 128J/Kg/K

Latent heat of melting of lead = 2.23*10^4 J/Kg

so, Energy required to melt = M(327.3-25)*128 + M(22300)

now, this energy is gained by loss in kinetic energy

so, 1/2 M V^2 = M(327.3-25)*128 + M(22300)

1/2 V^2 = (327.3-25)*128 + (22300)

hence, V = 349.26 m/s

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