题目

平面力场overrightarrow (F)(x,y)=(1+x(e)^2y)overrightarrow (i)+((x)^2(e)^2y-1)overrightarrow (j)沿半圆周overrightarrow (F)(x,y)=(1+x(e)^2y)overrightarrow (i)+((x)^2(e)^2y-1)overrightarrow (j),将质点从点A(4,0)移动到点O(0,0)所作的功W=()A.24B.-24C.12D.-12

平面力场沿半圆周,将质点从点A(4,0)移动到点O(0,0)所作的功W=()

A.24

B.-24

C.12

D.-12

题目解答

答案

解:所作的功

记

则

故积分与路径无关，选择直线路径:

选择D选项