Question

QUESTION 3 In this question we handle a one dimensional elastic collision. Thus, suppose that the mass , bearing the velocity VIP collides with the mass initially at rest. After the collision, m, and m, acquire the velocities, respectively, v and a) (15 p) Therefore, show these two equations: -M2 VI Vti V2r- m+ m2 dv2 2011 Vui b) (10 p) Suppose, a bus running at the velocity of 100 km h, hits a cow, on the highway. What would be the speed of the bus after the collision. And, what would be the speed of the cow after the given collision? Attach File Browse My Computer Browse Content Collection

Answer 1

m yi mass Mq given initial veloce and initial velocity of velocity of mass yri = Omas (rest) final velocity of mass m If and final velocity of mass m₂ = 1 befone collision Apter collision Part m my V 'li Di = omy Ulf Ver klow Jaw from of conservation of momentum momentum before Collision momentum aster collision m v tm. n. li me di + m₂ h If my = muft m vef > m, (vi: - Vif) = malay (since i = 0m/) eg: And by low of conservation of energy - Total energy before Total energy after Collision Collision Im, vem to I m, vir tt र ma 27

2 v2 = V my 2 If ma 2 27 Q >m, (, ; - Vit toa = (tht!) I since 02-6=(a=b)(a+b) ma at value putting the of m, (y; - up) from eq.1 - M₂ Vef mat (viit.lf) A 24 value tot ti Vaf Vit Vyf eq Putting this eq. m, vil -viA) - m₂ (vitvit myli my vite + m2 Vit (m, rm, u (m+m, ut fm-mz Tlf eq. m2 met - tuu 11 = 1 Above equation shows the final velocity of mass m Im

the And the collision ispeed of caw after by eqi amb V 2+ 27.78 m/s mbtma ane Since numerical values of my of my and me not given so final speeds of bas and cow will be in terms and me which shown in above equations. of my ane