Question

Task 10 A spring is 3.0 cm and has a spring constant of 2000 N/m. The spring shoots out a bullet with a mass of 0.049 kg. The bullet collides elastically with a very similar bullet hanging in a cord with length L=0.60 m which is attached in a point A. See figure. spring a) About how much speed does the bullet get from the spring? 1) 3.0 m/s 11) 4.2 m/s III) 5.0 m/s IV) 6.1 m/s V) 11 m/s VI) 12 m/s VII) 13 m/s Vill) 18 m/s IX) 37 m/s X) 1.2 km/s b) About how much kinetic energy does the bullet it collides with on top of circle path? 1) OJ II) 0.18 JIII) 0.29) IV) 0.321 V) 0.39 VI) 0.43J VII) 0.52J VIII) 0.61J X) 0.72 X] 0.94 c) About how big is the drawstring at the top of the circular path? 1) ONI) 0.33 N III) 0.49 N IV) 0.60 N V) 0.70 N VI) 0.86 N VII) 0.92 N VII) 0.98 N IX) 1.4 N X) 1.5 N d) We are now cutting the cord just as the bulletl passes the vertex. About how far will the bullet then move in a horizontal direction through the air before it hits the floor (assume that floor does not slom and that you can disregard the size of the bullet). 1) 1,0 m 1) 1,2 m III) 1.4 m IV) 1.6 m V) 1.7 m VI) 1.8 m VII) 1.9 m VIII) 2.4 m IX) 2.6 m X) 2.7 m

Answer 1

-- can Let the velocity of the bullet is v since the collission is ellastic hence the velocity of the second bullet is also v kinetic energy of the bullet bottom most point Hence the a at the Т» 2 12 m2 The potential energy at the at the top most point, V 22та From the conservation of energy we howe, Imo²= zoogd Here m=0.049 kg e ga9.8 m/ la 0.60m Hence, 41. 489.880.6 = 4.849 m/s. ~ 5 m/s. Hence answer is (in) 5m/s.

(b) The kinetic energy is, = 12mu² a 2 x 01049x (4.849) 0.576 J ~ 0.65 P Hence the answer is (viii) 0.61 J Since Zero hence c) at the top of the circular path the bullet has kinetic energy the corresponding centrifugal force is zero. Hence the drawstring at the top of the top of the circular path will be zero (d) The vertical fall height is al - 2x0.6 = 1.2. Now علي know, saut & £gt2 Hences 1.22 o + x 9.8 xt2 ta 2 014948 second Hence the bullet will touch ground after 0.4948 second of cutting the string Hence the answer is cül 1.2 m