Name 3. (15 points) Ballistic Pendulum: A bullet with mass m is fired into a blo

Question

Name 3. (15 points) Ballistic Pendulum: A bullet with mass m is fired into a block of wood with mass M, suspended like a pendulum, and makes a completely inelastic collision with it. After the impact of the bullet, the block swings up to a maximum height h. Given the values of h = 7.00 0.0700 m, m = 5.75 g 0.00575 kg, and M = 3.50 kg. (a) what is the initial velocity v_x of the bullet in m/s? (b) what is the velocity V_x of the bullet/block system right after impact? (c) what is the kinetic energy of the bullet right before impact? (d) what is the kinetic energy of the bullet/block system right after impact? Where did the initial energy of the bullet go? (Remember: Use Conservation of Linear Momentum to analyze the impact. Then, use Conservation of Total Mechanical Energy to see how high the bullet/block system swings.) Page 4 of 10

Explanation / Answer

mvx = (M+m)Vx

also, 0.5(M+m)Vx2 = (M+m)gh

=> Vx = sqrt(2gh)

=> vx = ((M/m) +1) x sqrt(2gh) = ((3.5/0.00575) + 1) x sqrt(2 x 9.8 x 0.07) = 714.15 m/s

=> Vx = sqrt(2 x 9.8 x 0.07) = 1.171324 m/s

=> Ki = 0.5mvx2 = 0.5 x 0.00575 x (714.15)2 = 1466.2794 J

=> Kf = 0.5(M+m)Vx2 = 0.5 x 3.50575 x (1.171324)2 = 2.404944 J

(Energy lost in the friction in form of heat and sound energy)

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

---

---

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