A) \[+11\,\,j\]
B) \[+7\,\,j\]
C) \[+13\,\,j\]
D) \[-7\,\,j\]
Correct Answer: B
Solution :
Work (W) is measured by the product of the Applied force and the displacement of the body in The direction of the force (F) that is \[W=F\times \Delta s\] Where \[\Delta s\] is displacement Given, \[\overset{\to }{\mathop{F}}\,=5\overset{\wedge }{\mathop{i}}\,+3\overset{\wedge }{\mathop{j}}\,,\Delta s=\left( 2\overset{\wedge }{\mathop{i}}\,-\overset{\wedge }{\mathop{j}}\, \right)\] \[W=\left( 5\overset{\wedge }{\mathop{i}}\,+3\overset{\wedge }{\mathop{j}}\, \right).\left( 2\overset{\wedge }{\mathop{i}}\,-\overset{\wedge }{\mathop{j}}\, \right)\,\] \[W=10-3=7\,J\] Note: Both force and displacements are vector Quantities but work is a scalar quantity.You need to login to perform this action.
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