Question

In outer space, far from any other influences, two rocks collide and bounce off each other. All motion is along the x axis. Rock A has a mass of 3 kg, an initial velocity of 〈40,0,0〉m/s, and a final velocity of 〈16,0,0〉m/s. Rock B has a mass of 6kg and an initial velocity of 〈−20, 0, 0〉 m/s.

(a) What is the final 3-D velocity vector (not speed!) of Rock B?
(b) What is the change in the total kinetic energy of the rocks due to the collision?

(c) Is this an elastic or inelastic collision? Explain your answer.

Answer 1

Arsi- Curen A = 3kg, m₂ = 6kg, Vi = £40,0,07 nys. Un = (16,0,oo mys UBE = <-2000, omys Aboly conservation of momenten - Meuni + Moupi = mA Unt & Mauer o evo) [< 40,0,0>m/s] + (v) [<-20,0,03 01.] = (3kg) [ < 16,0,07] + (6kg) X4 Ust. or C120, 0, o>+ <- 120,0 0>= 40,0,0) F or 0=<40, 0, os + 6 Jet or 6 Unt = - 248,0,07 13t = <- B. 0,07 hits calculate change in kinetic enegy? ARE & K Ei-K E = 1/₂ MAY ? + 12 M - Vmruni - MB UB = /mn 1 uur - U) + Xmalusi - Uni) = 1 (3 kg) [(40) 2 (16) 2] + 1/2 x 16 kg) [6-20)²1-007 2 2016 I +1008 T LAKE = 30247 A Alter, the collision, velocity of both rock are elleent, pot parisiensis tolal kinetic energy y lost to collision u indlastica A