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Main Menu Contents Grades » Cap. 7 Trabajo y Energia Cinetica» HRw spring Force O Timer Notes Course Contents » Evaluate Feedback Print HRW Spring Force Points:2 The only force acting on a 4.70-kg body as it moves along a positive x axis has an x component Fx--640x N, with x in meters. The velocity at x 5.68 m is 6.76 m/s what is the velocity of the body at x-2.44 m? 4.42 m/s Incorrect. Tries 3/50 Previous Tries At what positive value of x will the body have a velocity of v = 3.72 mvs? Subrst Anawer Submit Answer Tries 0/so

Explanation / Answer

F = ma

F = m*v dv / dx

F dx = m vdv

-6.4x dx = m v dv

Integration both sides we have

integral (-6.4x dx) from x = 5.68 to 2.44 = integral(v^2 / 2 ) dv from v = 6.76 to v2

-3.2x^2 from x = 5.68 to 2.44 = 1/2 ( v2^2 - 6.76^2)

-3.2 ( 2.44^2 - 5.68^2) = 1/2(v2^2 - 6.76^2)

v2 = 14.63 m /s

so velocity at x = 2.44 is 14.63 m/s

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