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Chapter 10: Q. 62 (page 259)

A particle that can move along the x-axis experiences an interaction force Fx=3x2-5xN,where x is inm. Find an expression for the system鈥檚 potential energy.

Short Answer

Expert verified

Expression for potential energy isU(x)=5x22-x3

Step by step solution

01

Given information

The interactive force is given as

Fx=3x2-5xN

02

Explanation

Fx=3x2-5xNU(x)=-鈭�Fxdx=-鈭�3x2-5xdx=-鈭�3x2dx+鈭�5xdx=-3x33+5x22U(x)=-x3+5x22U(x)=5x22-x3

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