Question

my giving - The We... <Homework for MO2.5 Other favorites Problem 15.79 - Enhanced with Hints and Feedback 22 of 2 The two disks A and B have a mass of 4 kg and 8 kg, respectively. They collide with the initial velocities shown The coefficient of restitution 0.75 Suppose that (UA= 6 m/s. (un) = 8 m/s. (Figure 1) Part A Determine the magnitude of the velocity of just star impact Express your answer to three significant figures and include the appropriate units. View Available Hints НА ? Valne Units Submit Part B Determine the angle between the ses and the velocity of Ajustable impact med deckwise from the regte Express your answer in degrees to three significant figures. View Available Hints Figure < 1 of 1 10) AVEC ? (ah Submit er Line of past Part Determine the magnitude of the velocity or just aber impact Express your answer to three significant figures and include the appropriate units. ► View Available Hints

part D

determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis.

Answer 1

Page no Date suppose Body B has final velocity VB, which has x and Yaris component as (VBx), and (vey respectively. Similarly, Body A has final velocity VA with X and Yanis components as (Van), and Vay MA = 4 kg MB = 6kg e = 0.75 (A) = 6 m/s (VB) = 8 m/s VBX) - - 8x cos 60' EVBY)2 = -8 X Sim 60° Along x - quis Initial linear momentum along a-anis final linear momentum dong Yasus MA (VA), + mo (VBW, = mA (VAndy + me (Vox)2. 4 x 6 + 6X(-8x cos 60°) = u Anh + 6(VBx)2. 4 (VAN,+ 6 (VB) 2 = 0 - 0 2 . [CVAN,- (VBx) [(VAN, - (VBx) 0.75 = + (veu), - Core 6+8 X 60860 7.5 = (Vox), - (vou), from equation wer), = 7.5+ (Ax). Put this in equation 4 (Vax), +6(7.5+ 6 Vax), = 0 10 VAx)2 = - 45 Ax₂ = - 4.5 m/s. (NBx), = 3 m/s.

Date As the final melocities in vertical direction will be same as of initial velectens in vertical direction SAY, = By), zo Vouh= (VBy), • 8x Sin 60° 6.928 mls a) final velocity of body a - A) + VAY (4.5) + VA₂ = 4.5 m/s OⓇ u b dan OA = (VAY, (VAR) 04 - 0° O -4.5 - c) final velocity of Goody B. e) (VB)2 + vesi (3.5) + €6.928) VB2 - 7.762 m/s d) dan Og = (veyh (VBr)2 -6.928 3.5 B = -63.196
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