A space vehicle flies into a gravitational force field F(x, y, z)= y(b²x² + a²y²)i + x(b²x² + a²y²) j+czk with a flight path given by x(t) = a cost, y(t) = b sint, z(t) = c(4π - t) for a duration of 0 <≤ t ≤ 47 where a=2.8, b=2 and c=0.9. Compute the work done (following path integral): 4x F F. dr t=0
A space vehicle flies into a gravitational force field F(x, y, z)= y(b²x² + a²y²)i + x(b²x² + a²y²) j+czk with a flight path given by x(t) = a cost, y(t) = b sint, z(t) = c(4π - t) for a duration of 0 <≤ t ≤ 47 where a=2.8, b=2 and c=0.9. Compute the work done (following path integral): 4x F F. dr t=0
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Transcribed Image Text:A space vehicle flies into a gravitational force field
F(x, y, 2) = –y(b²x² + a²y³) i+ æ(b°x² + a²y?)j+ cz k
with a flight path given by
x(t) = a cost, y(t) = b sin t, 2(t) = c(47 – t)
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for a duration of 0 < t < 4ñ where a=2.8, b=2 and c=0.9. Compute the work done
(following path integral):
F. dr
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