(a) A force F = (2x1 + 4yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x-direction from the origin to x = 4.63 m. Find the work W = (= F. dr done by the force on the object (in J). J /= F. dr done by the force on the object (in J) if it moves from the origin to (4.63 m, 4.63 m) along a straight-line path making an angle of 45.0° with the positive x-axis. J (b) What If? Find the work W = Is the work done by this force dependent on the path taken between the initial and final points? dependent O independent

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
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(a) A force F= (2x1 + 4yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the
/F.
F. dr done by the force on the object (in J).
x-direction from the origin to x = 4.63 m. Find the work W =
J
(b) What If? Find the work W =
(4.63 m, 4.63 m) along a straight-line path making an angle of 45.0° with the positive x-axis.
J
F. dr done by the force on the object (in J) if it moves from the origin to
Is the work done by this force dependent on the path taken between the initial and final points?
dependent
independent
Transcribed Image Text:(a) A force F= (2x1 + 4yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the /F. F. dr done by the force on the object (in J). x-direction from the origin to x = 4.63 m. Find the work W = J (b) What If? Find the work W = (4.63 m, 4.63 m) along a straight-line path making an angle of 45.0° with the positive x-axis. J F. dr done by the force on the object (in J) if it moves from the origin to Is the work done by this force dependent on the path taken between the initial and final points? dependent independent
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