Q : your friend was driving her 1265- kg car north oaksteet when she was hit by

Question

   Q : your friend was driving her 1265- kg car north oaksteet when she was hit by a 925-kg compact         car going west on maple steert the cars stuck togther & slid 23.1m at42(degree)north of     west .the sbeedlimit on both streets 22m/s (50 mph) . assume that momentum wasconserved during the collision and that acceleration was constantduring the skid .the coefficentof kinetic friction between thetires and the pavement is 0.65 a. how fast your friend driving before the crash? b .how fast was th other car moving befor thecrash? support your anser    Q : your friend was driving her 1265- kg car north oaksteet when she was hit by a 925-kg compact         car going west on maple steert the cars stuck togther & slid 23.1m at42(degree)north of     west .the sbeedlimit on both streets 22m/s (50 mph) . assume that momentum wasconserved during the collision and that acceleration was constantduring the skid .the coefficentof kinetic friction between thetires and the pavement is 0.65 a. how fast your friend driving before the crash? b .how fast was th other car moving befor thecrash? support your anser

Explanation / Answer

your friend's car: mass M = 1265 kg, initial velocity V = ?(north) the other car: mass m = 925 kg, initial velocity v = ? (west) their final velocity = u (direction: = 42o northof west), = 0.65, d = 23.1 m (m + M)gd = (m + M)u2/2, so u = (2gd)= 17.16 m/s momentum conservation: north direction: MV = (m + M)usin so V = (m + M)usin/M = 19.9 m/s west direction: mv = (m + M)ucos so v = (m + M)ucos/m = 30.2 m/s

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