Sapling Learning chis question has been customiedby ennifer Cash at South Caroli

Question

Sapling Learning chis question has been customiedby ennifer Cash at South Carolira State University The graph shows the component of a force acting on an object, in newtons, versus the position of the n centimeters. Find the work done by the force over the specilfied intervals of displacement: 10 Number b) +4.5 m, .9m: Number -2 W. c) = 14 m, . 18.1 m: 012345878 9 10 11 12 13 14 15 10 17 18 10 20 Number x (m) O PreviousCheck Answer Next Exit Hint us careers I privacy poleyl terms of use I contact us help

Explanation / Answer

Work done is simply the area under the force- displacement graph

a) area of rectangle(from x=0 to x=3) + area of triangle(from x=2 to x=3)

WD=3*4 + 0.5*1*4= 14 Joules

b) area of rectangle(from x=4.5 to x=6) + area of triangle(from x=6 to x=9)

WD= (1.5*8) +(0.5*3*8)= 24 Joules

c) area of rectancgle (from x=14 to x=18.1) + area of triangle(from x=14 to x=16)

WD=(2*4.1)+(0.5*2*4)= 12.2 Joules

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