1. Some naval destroyer-class boats weigh as much as 1500 tons (6.6 x 106 kg) Su
ID: 1789576 • Letter: 1
Question
1. Some naval destroyer-class boats weigh as much as 1500 tons (6.6 x 106 kg) Suppose a 19 kg cannonball is launched at the ship, striking it directly at 250 m/s a) If the cannonball embeds itself in the hull of the ship, what would the recoil velocity of the ship be? Assume that the boat is at rest for this one-dimensional collision b) What fraction of the system's kinetic energy is remaining after the collision? c) Where did the lost kinetic energy go? d) If the cannonball is stopped in the hull of the ship over a distance of 0.8 m, what was the average force applied to the hull?Explanation / Answer
a) m1u1+m2u2 = (m1+m2)u2
u2=(6.6*106*0 + 19*250)/(6.6*106 + 19)
u2= 7.19*10-4 m/s
B) initial kinetic energy = 0.5*19*2502 =593750 J
Final kinetic energy= 0.5*(6.6*106+ 19)*(7.19*10-4)2=1.7059 J
Fraction of remaining KE= 1.7059/ 593750 = 2.8730*10-6
c) lost kinetic energy is in heat energy
d) acceleration of the cannon ball can be evaluated by, using
v2 - u2 = 2as
0-2502 = 2*a*0.8
a= -39062.5 m/s2
Force= ma= 19*39072.5 = 742187.5 Newton
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.