Question

TU POCOLM Pool Balls Innervated to Boot Complete each problem in the space provided; show all work in logical, detailed form and highlight numerical answers. Include diagrams wherever possible. On any problem where an FBD is appropriate, it must be included for mazimum credit. All numerical results should be stated to 3.00 or 4.000 significant figures and mks units unless otherwise noted. 1. You are hovering above a pool table looking down at the pulchritudinous green felt. Suddenly, a cue ball is struck so that from your perspective the cue ball travels along the X-axis. It then strikes an eleven ball slightly off center so that the eleven ball follows a linear path that makes an angle of -37 with the x-axis. Determine the path of the cue ball after the collision. (Indispensable information: mass of cue ball: 170 g; mass of eleven ball: 160 g; felt is frictionless; neither ball has rotational motion before or after the collision. Needless to say, this is a supernatural problem.) unknowns Knowns

velocity of cue ball initially is 23cm/s

Answer 1

IVICI SI Val du 23.com 170gm my mptoglo 27 17 from Conservation of momentum, In a direction ! mpy + m2 x 0 = mi tip Cos + mo map Ca.37. or 170x23 a 120 x GO & 160x Os 37 wory_3910 120X1p Coso Lp 121-78 var tab) tvseeus et oz my vip sim o - me vep Singa or i to ve sin = 160 x 2 p in 34 or tipisyal te Sin 37 x y z are no Sinos 0.566 Vpp = from Conservation of Energy on 170x 33°= 170 x Viet 160 , TF S S M T W T F S S M T W T F S S MTWT

Sunrise - 6:06 AM 89930 = 170 1,8 160 versing en farem egy c) andeley itovip Cose - 3910 - 127.78 Vog ory Vip caso - P3 - 0.152 VR6 of illus mai cos Otsin?) - (23® 0.752Vp) + c 2 or hp 529 - 34.593 vap +0.56 642 +0.320x, org VB529 - 34.59242 +4866 0.8 86 var athy ) from eap ng 89930 - at via at 2 0.941 v. on vs 529 € 0.941 (vi) In en on 5R9 0.941. V 520 - 34.5 9 PV + 0,886 vef FEB W T F S S M T W T F S

(0.886 + 0.941) 16 34.502 Vajat V 18.93 conso og relocity eleven ball after collision i from eq (rig to the will va: 529 - 2.941 vi? org VP = 589 - 0.941* (18-93) ory vif = 13.85 cm/s a velocity of speed of cue ball I after collision hom eg lise 13-85 Sino a 0.566 vize op) 13.85 Sino. 0.566 x 18-93 or = 50.68 above positione axis 44 m

from Conservation of Energy P. & at the top of lue incline alla kE. at sill the bottom of the cue ball at the bare & mgh 170 x 9.8 x 44 T 1000 13.30 J