A potential energy function for a system in which a two- dimensional force acts is of the form U= 3x³y -7x. Find the force that acts at the point (x,y)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter7: Work And Kinetic Energy
Section: Chapter Questions
Problem 88AP: Consider a particle on which a force acts that depends on the position of the particle. This force...
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A potential energy function for a system in which a two-
dimensional force acts is of the form U= 3x³y -7x. Find
the force that acts at the point (x,y)
ne
a(3x°y-7x)
F,
-(9x*y-7)=7-9x'y
dx
ax
a(3x°y -7x)
ne
ду
-(3x° – 0) = -3x³
ду
F = Fî+ Fj=
(7– 9x°y)î– 3x°j
CENGAGE
Learning"
Transcribed Image Text:A potential energy function for a system in which a two- dimensional force acts is of the form U= 3x³y -7x. Find the force that acts at the point (x,y) ne a(3x°y-7x) F, -(9x*y-7)=7-9x'y dx ax a(3x°y -7x) ne ду -(3x° – 0) = -3x³ ду F = Fî+ Fj= (7– 9x°y)î– 3x°j CENGAGE Learning"
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