work done = change in KE
W = KE
W = 1/2 mvf2 - 1/2 mvi2
vf = √(72+32) = √58
vi = √(52+42) = √41
W = (1/2 )( 2kg) (58-41) = 17 J (a)
we have m= 2kg and vi = 5i - 4j and vf= 7i + 3j
W = △KE = 1/2 m△v2
W = 1/2 mvf2 - 1/2 mvi2
vf = √((7)2+(3)2) = √58
vi = √((5)2+(-4)2) = √41
W = (1/2 )( 2 )(√58)2 - (1/2)(2)(√41)2 = 17 J
answer = 17 J (a)
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