Question

could you help with this question 2.a, b and c?

2. Two objects collide on a level, frictionless table. The mass of object Als 5.0 kg: the mass of object Bis 3.0 kg. The objects stick together after the collision. The initial velocity of object A Conservatiow of momentum in two dimensions Mech HW-64 and the final velocity of both objects are shown Before collision After collision (One side of a square represents 0.1 m/s) Direction of Ap Object B Object A a. In the space provided, draw separate arrows for object A and for object B representing the direction of the change in momentum vector of the object. Is the magnitude of the change in momentum of object A greater than, less than or equal to that of object B? Explain your reasoning. Pa b. System C is the system of both objects A and B combined. How does the momentum of system C before the collision compare to the momentum of system C after the collision? Discuss both magnitude and direction. Construct and label a vector showing the momentum of system C at an instant before the collision. Show your work clearly. (Each side of a square represents 0.4 kg-m/s) c. Construct and label a vector showing the initial velocity of object B. Show your work clearly. (Each side of a square represents 0.1 m/s)

Answer 1

2 sky i mo = 3 kg - UA = (0.9 î -0.67 ) mys ✓ (0.3 î - 0.69) mys The be the velocity of 'B' before collision o =P eet tood 510.g -0.6] ) + 3 ÜB = 8(0.32 -0.69) 4.5i - 3ŷ +3ūB = 2.4i - 4.8] uB = ūB -2.1 î - 1.8 -0.7 ê - 0.6 Î 2 obiect A APA = s[v-ūn] 2 5(-0.62 - 3 obiecte DPB - 32 3 [ ū - ūo] 3[12] Magnitude of change in is momentum for A &B same.

6 momentum of system a before collision and after collision will be the same (Peli : 510.9 î -0.69) +3(-0.72 -06) = 4.si - 21 3.09 -1.89 (Pebi 6 1.4 - 4.8 ] - 0.4 [6î - 12j] sia sides in a and twelve sides in ove y direction. (Pelf - 810.3€ -0.69 ) 0.4 (6î - 12 ;) same as initial momentum. Pi & Pf © ūk--0.12 -0.6ſ ūg each side of square represents o.lnys