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Figure gives the acceleration of a 2 ....

Figure gives the acceleration of a 2 . 0 kg body as it moves from rest along x - axis while a variable force acts on it from x = 0 m to x = 9 m . Find the work done by the force of the body when it reaches
x = 7 m

Text Solution

Verified by Experts

Total work done = Mass ` xx` Area under acceleration versus displacement graph

Work done by the force on the body when it reaches at x = 7 m is `W _(x = 7) = W_(x = 4) +`Mass of the body `xx` (Area under CDE - Area under EFGH)
` = 42 J + 2 [((1)/(2) xx 1xx 6) - ((1)/(2) xx 1xx 6) - (1 xx 6) ] = 30 J`
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