Find the work done by the force field F in moving a particle through the path...

Find the work done by the force field F in moving a particle through the path C. That is, find Where C is the compound path given by r(t)=<t,0,t> from (0,0,0) to (2,0,2) followed by r(t)=<2,t,2> from (2,0,2) to (2,2,2)

Expert Solution

milcah answered 2 years ago

Find the work done by the force field F(x,y) = <2xy-cosx,ln(xy)+cosy> along the path C, where...

Find the work done by the force field F(x,y) = <2xy-cosx,ln(xy)+cosy> along the path C, where C starts at (1,1)(1,1) and travels to (2,4)(2,4) along y=x^2, then travels down to (2,2)(2,2) along a straight path, and returns to (1,1)(1,1) along a straight path. Fully justify your solution.

Find the work done in moving a particle once around an ellipse C in the XY-...

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A charged particle moving through a magnetic field at right angles to the field with a...

A charged particle moving through a magnetic field at right angles to the field with a speed of 35.1 m/s experiences a magnetic force of 7.56x10-4 N. Determine the magnetic force on an identical particle when it travels through the same magnetic field with a speed of 8.7 m/s at an angle of 44° relative to the magnetic field. Express your answer in microNewtons.

Suppose that F= -xyI -yzJ-xzK. Find the work done by this vector field on an object...

Suppose that F= -xyI -yzJ-xzK. Find the work done by this vector field on an object moving once counterclockwise (when viewed from above) around the path from (2,3,1) to (-4,6,2) to (1,-3,8) and back to (2,3,1). Solve using Stokes' theorem.

Q2: A particle is moving in a constant force field starting at rest from some point...

Q2: A particle is moving in a constant force field starting at rest from some point (x1, x1’) to some higher point (x2, x2’). The potential energy is mgx, where g is the acceleration imparted by the force. Find the path that allows the particle to accomplish the transit in the least possible time.

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Find the work done by the vector vield F(x, y) = 3x+3x2y, 3y2x+2x3 on a particle moving first from (−3, 0), along the x-axis to (3, 0), and then returning along y = 9 − x2 back to the starting point.

Experiments are done to find out how long it takes rabbits to find their path through...

Experiments are done to find out how long it takes rabbits to find their path through a maze. Mean time u=18 seconds is completion time for a maze. A scientist suggests that carrots will cause the rabbits to complete the maze faster. Experiments are done on 4 rabbits with carrots as a stimulus and the time in seconds are recorded 15,15,16,17 1.State the ho and ha 2.assume that the distribution of times is normal, do these experiment results support the...

Work done by force.

A force acts on a 2 Kg object so that its position is given as a function of times as x=3t²+5. What is the work done by this force in the first 5 seconds?

The path of a gymnast through space can be modeled as the path of a particle...

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Find the work done by the force field F(x,y,z) =8x^2yzi+5zj-4xyk r(t)=ti+t^2j+t^3k (0

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