A single conservative force acts on a 5.7ˍkg particle. The equationFx=(2.3x+3.7)N describes the force, where x is in meters. As the particle moves along the x-axis from x = 1.2ˍm to x = 8.9ˍm, calculate the work done by the force on this particle, the change in the potential energy of the system, and the kineticenergy the particle has at x = 8.9ˍm if its speed is 5.4ˍm/s at x = 1.2ˍm.

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Asked Nov 9, 2019
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A single conservative force acts on a 5.7ˍkg particle. The equation
Fx=(2.3x+3.7)N describes the force, where x is in meters. As the particle moves along the x-axis from x = 1.2ˍm to x = 8.9ˍm, calculate the work done by the force on this particle, the change in the potential energy of the system, and the kinetic
energy the particle has at x = 8.9ˍm if its speed is 5.4ˍm/s at x = 1.2ˍm.

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Expert Answer

Step 1

The formula to calculate the work done by the force in x- direction

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W Fxd«

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Step 2

Substituting the values

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8.9 W (2.3x+3.7) dx 1.2 8.9 2.3x2 -+4x 2 1.2 2.3(8.9)2.3(1.2)1 +4 (8.9-1.2) 2 2 120J

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Step 3

The formula to calculate the change in potential energy of the sys...

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AU Wot ext

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