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Questions  

A particle is displaced from a position vector  4i^+2j^m  to 2i^+3k^m  by applying a force of  F=3x2i^+2yj^N.The work done is 

a
-60J
b
60J
c
-120J
d
90J

detailed solution

Correct option is A

Work done=∫F→.dr →   here F=force=iFx+jFy+kFz; dr=displacement=idx+jdy+kdz W=∫Fx  dx+∫Fy  dy  +∫Fz  dz W=∫423x2  dx+∫202y  dy  +0 W=3x3342  +  2y2220 W=33[23-43]+22[02-22] W=(8−64)+(0−4)=−56−4 Work done=−60J

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