A bullet is accelerated down the barrel of a gun by hot gases produced in the combustion of gun powder. What is the average force (in N) exerted on a 0.0200 kg bullet to accelerate it to a speed of 575 m/s in a time of 2.70 ms (milliseconds)? (Enter the magnitude.)

Respuesta :

Answer:4.259 kN

Explanation:

Given

mass of bullet [tex]m=0.02 kg[/tex]

final velocity of bullet [tex]v=575 m/s[/tex]

time taken [tex]=2.7 ms\approx 2.7\times 10^{-3} s[/tex]

We know

[tex]Impulse=F_{avg}\cdot t=change\ in\ momentum[/tex]

thus

Initial Momentum[tex](P_i)=m\times 0[/tex]

Final Momentum[tex](P_f)=m\times v=0.02\times 575[/tex]

[tex]P_f=11.5 kg-m/s[/tex]

[tex]F_{avg}\times 2.7\times 10^{-3}=P_f-P_i=11.5[/tex]

[tex]F_{avg}=4.259\times 10^3[/tex]

[tex]F_{avg}=4.259 kN[/tex]