A 75-g bullet is fired from a rifle having a barrel 0.558 m long. Choose the ori

Question

A 75-g bullet is fired from a rifle having a barrel 0.558 m long. Choose the origin to be at the location where the bullet begins to move. Then the force (in newtons) exerted by the expanding gas on the bullet is 14100 + 9700x - 25750x2, where x is in meters. (a) Determine the work done by the gas on the bullet as the bullet travels the length of the barrel. (in kJ) (b) If the barrel is 1.11 m long, how much work is done? kJ (c) How does this value compare with the work calculated in part (a)? percent diff

Explanation / Answer

work done=integral of F(x)*dx

here integral=14100*x+4850*x^2-8583.3*x^3+C

where C is a constant

putting the limits from x=0 to x=0.558 m

we get net work done=7886.64 J

b)

if barrel is 1.11 m long,work done=9887.9 J=9.888 kJ

c)

%difference=20.24 %

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.