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 0.0500 kg bullet to accelerate it to a speed of 575 m/s in a time of 2.10 ms (milliseconds)? (Enter the magnitude.)

Respuesta :

Answer:13.69 KN

Explanation:

Given

mass of bullet [tex]m=0.05 kg[/tex]

Final Speed before leaving Barrel[tex]=575 m/s[/tex]

initial speed[tex](u)=0 m/s[/tex]

time [tex]t=2.1 \times 10^{-3} s[/tex]

we know change in momentum is equal to Impulse imparted

[tex]Fdt=\Delta P[/tex]

where [tex]F=force [/tex]

[tex]\Delta P=change\ in\ Momentum[/tex]

[tex]dt=total\ time[/tex]

[tex]F_{avg}\times 2.1\times 10^{-3}=0.05\cdot (575-0)[/tex]

[tex]F_{avg}=13.69\times 10^{3} N[/tex]

[tex]F_{avg}=13.69 KN[/tex]