A bread box is made to move along an x axis from x = 0.15 m to x = 1.20 m by a force with a magnitude given by F = e (-2x²), with x in meters and F in newtons. How much work is done on the bread box by the force?

Question

Physics

Cassandra Kelley

11 August, 05:44

A bread box is made to move along an x axis from x = 0.15 m to x = 1.20 m by a force with a magnitude given by F = e (-2x²), with x in meters and F in newtons. How much work is done on the bread box by the force?

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Answers (1)

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Jayvon Cabrera · Answer 1

Work done on the bread box is 0.1157 J

Explanation:

Bread box is made to move along an x axis from x=0.15m to x=1.20m means total distance covered by box is (1.20-0.15) m=1.05m.

Work done is equal to Force*distance covered

i. e;

W=F. d=e^ (-2x^2). d

=e^ (-2 (1.05) ^2). (1.05) = (0.1102). (1.05)

=0.1157J