Find the work done in moving an object of mass m along i=3i+2j-5k if the applied is F=2i+2(-j)+ 3(-k). Find the work done in moving a particle from (1, -1, 2) to (2,3,-1) in the force field with potential V=x'-y'+2xy-y² +4x. 1 Show that the force F=cy°z'-6xz*)i+2xyz'j+(3xy²z² - 6x²z& is a conservative force field. Using the fact that F is a conservative force if and only if there exist a continuously differentiable scalar field v (potential energy function) such that F=-VV. 2 Confirm your answer in 3.3.1 that using the fact that F is a conservative force if and only if VxF=0.
Find the work done in moving an object of mass m along i=3i+2j-5k if the applied is F=2i+2(-j)+ 3(-k). Find the work done in moving a particle from (1, -1, 2) to (2,3,-1) in the force field with potential V=x'-y'+2xy-y² +4x. 1 Show that the force F=cy°z'-6xz*)i+2xyz'j+(3xy²z² - 6x²z& is a conservative force field. Using the fact that F is a conservative force if and only if there exist a continuously differentiable scalar field v (potential energy function) such that F=-VV. 2 Confirm your answer in 3.3.1 that using the fact that F is a conservative force if and only if VxF=0.
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3.1 Find the work done in moving an object of mass m along i=3i+2j-5k if the applied is
F=2i+2(-j)+ 3(-k).
3.2 Find the work done in moving a particle from (1, -1, 2) to (2,3,-1) in the force field with potential
V=x'-y'+2y- y +4.x.
3.3.1 Show that the force F=(y'z'-6xz)i+2xyz'j+(3xy*z – 6x°z)Âk is a conservative force field. Using the
fact that F is a conservative force if and only if there exist a continuously differentiable scalar field v
(potential energy function) such that F=-Vv.
3.3.2 Confirm your answer in 3.3.1 that using the fact that F is a conservative force if and only if V×F=0.
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