Work from a Stepped Force Graph
Difficulty: Easy · Topics: Work, Force–Position Graphs, Work–Energy Theorem
Pog‘onasimon kuch grafigidan ish
A force acting on a free particle varies with x, as shown in the figure below. Calculate the work done by the force as the particle moves from x = 0 to x = 7 m.
physics "view":[-1.75,-2.85,8.55,2.95],"alt":"Force against position: 4 N from 0 to 1 m, −2 N from 1 to 3 m, 3 N from 3 to 5 m, 1 N from 5 to 7 m.","items":["type":"plot","at":[0,-2.35],"size":[7,4.7],"x":[0,7],"y":[-4,4],"xTicks":[2,4,6],"yTicks":[-4,-2,2,4],"gridX":[0,1,2,3,4,5,6,7],"gridY":[-4,-3,-2,-1,0,1,2,3,4],"grid":true,"xLabel":"x (m)","yLabel":"Force (N)","yLabelMode":"side","yLabelGap":40,"originLabel":"0","items":["type":"polyline","points":[[0,4],[1,4],[1,-2],[3,-2],[3,3],[5,3],[5,1],[7,1]],"width":2.6,"colour":"accent"]]
Erkin zarraga ta’sir etuvchi kuch quyidagi rasmda ko‘rsatilganidek x ga bog‘liq ravishda o‘zgaradi. Zarra x = 0 dan x = 7 m gacha ko‘chganda kuch bajargan ishni hisoblang.
physics "view":[-1.75,-2.85,8.55,2.95],"alt":"Force against position: 4 N from 0 to 1 m, −2 N from 1 to 3 m, 3 N from 3 to 5 m, 1 N from 5 to 7 m.","items":["type":"plot","at":[0,-2.35],"size":[7,4.7],"x":[0,7],"y":[-4,4],"xTicks":[2,4,6],"yTicks":[-4,-2,2,4],"gridX":[0,1,2,3,4,5,6,7],"gridY":[-4,-3,-2,-1,0,1,2,3,4],"grid":true,"xLabel":"x (m)","yLabel":"Kuch (N)","yLabelMode":"side","yLabelGap":40,"originLabel":"0","items":["type":"polyline","points":[[0,4],[1,4],[1,-2],[3,-2],[3,3],[5,3],[5,1],[7,1]],"width":2.6,"colour":"accent"]]