A force with an x-component acts on a mass with a strength that varies only with the position x of the mass on the x-axis, according to |F(x)| = Ax2. The sign of the force is negative when x is positive and positive when x is negative, indicating that the force always attracts the mass toward the origin. Compute the work done by this force when A = 1575 N/m2 and the mass moves along the x-axis as follows. Find the following:- (a) from x = -6.0 cm to the origin (b) from x = -5.0 cm to +5.0 cm (c) from x = +7.0 cm to +2.0 cm (d) from x = -2.0 cm to -5.0 cm

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
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A force with an x-component acts on a mass with a strength that varies only with the position x of the mass on the x-axis, according to |F(x)| = Ax2. The sign of the force is negative when x is positive and positive when x is negative, indicating that the force always attracts the mass toward the origin. Compute the work done by this force when A = 1575 N/m2 and the mass moves along the x-axis as follows.

Find the following:-

(a) from x = -6.0 cm to the origin

(b) from x = -5.0 cm to +5.0 cm

(c) from x = +7.0 cm to +2.0 cm

(d) from x = -2.0 cm to -5.0 cm

Solve all or b, c and d.

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