Question

Two pucks are sliding on a frictionless surface. There is an elastic collision between the two pucks. The masses of the pucks are: m4 = 0.20 kg, m2 = 0.40 kg. Puck#1 initially moved with a velocity of 5.5" ( + 4.8 Vir 4.8") s After the collision, puck #1 moves at 3.2 m/s in the positive x-direction, and puck #2 moves at 2.6 m/s in the negative y-direction. a. [6] Determine the initial velocity of puck #2. b. [2] The collision between the two pucks lasted 0.035 s. What was the average force applied on puck #1 during the collision? c. [4] Determine if this collision was perfectly elastic or not.

Answer 1

Mass, mos o-20kg , M2=0.40kg > Velocities, u 5-5 + 4-8 j mys, 19) mas het, - Suz B ㅏ oga ci Final relocities, 3.2 î mys - 2.6 Ŝ on/ Iges agar as using n os nomentum conservation m. Jag + m 2 Ve Az = mu to ma jes 0.2*[5.5 Â +4-83] + 0.40 [ en by j = 0-2ox (3-2 0.40% (-2-65]. + 0.4 Vy ſ - 2j d ㅏ on , 0.4 Weet 0.46

on, I ty j = 1615 اکی e.) mi งษ์ -1:15 - 5 b). Initial momentum of puck I, P final P momentum, per me up Change in momentum, sp. a mo [op - cop 0.20% [ 3.2 â -(5.5ỉ +425)] AB -0-462 - 0.963 kg.mes Time taken, t = 0.035s A resage force , Logs [046 -0.963) on, - 13-14 39 Or, 11 sol " e 27. N, | Fla (13-14)2 + (27-43)? on, IFIE 30.41 N, e) Initial total kinetic energy Ei - £ ma un { [ 0-2xl 5.5%+4-83) £mion + 0:4 )) + ARX (115²+ 52)] on, Ei 1o. 59 J Final energy, Ef £movie + t ha a Ep = £[ 0-24(3-2)2 + 0-4x( 2-63*] on, 2.376 J. EF E As, ER & E so the collision is not perfectly elastie.