Q#1 A 115kg cannon at rest contains a 10.0 kg cannon ball.When fired horizontall

Question

Q#1 A 115kg cannon at rest contains a 10.0 kg cannon ball.When fired horizontally, the cannon ball leaves the cannon with aspeed of 90.0 m/s (a) what is the recoil speed and direction of thecannon after firing the cannon ball? (b) Assume that the cannonball fired in part (a) with a speed of 90.0 m/s lands on a rail carwhich was initiallyat rest, if the speed of the rail car with thecannon ball on it is 2.50 m/s, what is the mass of the railcar? Q#1 A 115kg cannon at rest contains a 10.0 kg cannon ball.When fired horizontally, the cannon ball leaves the cannon with aspeed of 90.0 m/s (a) what is the recoil speed and direction of thecannon after firing the cannon ball? (b) Assume that the cannonball fired in part (a) with a speed of 90.0 m/s lands on a rail carwhich was initiallyat rest, if the speed of the rail car with thecannon ball on it is 2.50 m/s, what is the mass of the railcar?

Explanation / Answer

(a) From law of conservation of momentum    mv = MV then the speed of cannon     V = mv / M = (10) (90) / 115 = 0.78 m/s inopposite direction to the ball (b) AGain from law of conservation of momentum      mv = (mcar + m) v' mv - mv' = mcar v' therefore the mass of the rail car      mcar = m( v- v') / v' = (10) (90 -2.5) / 2.5 = 35kg

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

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