Question 135: Work, Energy and Power & Circular Motion

Question

Consider a force $\overrightarrow F  =  - x\widehat i + y\widehat j$
. The work done
by this force in moving a particle from point
A(1, 0) to B(0, 1) along the line segment is :
(all quantities are in SI units)
![](https://imagex.cdn.examgoal.net/7k9k2k5i6mc2b/ef7beac4-6003-4cfa-806e-78c1f0b92809/e8cbee30-392a-11ea-92dd-4b9c3519996f/file-7k9k2k5i6mc2c-344w.jpg)

Accepted Answer

W = $\int {\overrightarrow F } .d\overrightarrow r $
= $\int {\left( { - x\widehat i + y\widehat j} \right)} .\left( {dx\widehat i + dy\widehat j} \right)$
= $ - \int\limits_1^0 {xdx}  + \int\limits_0^1 {ydy} $
= ${1 \over 2} + {1 \over 2}$ = 1 J

Answer

2

Answer

${1 \over 2}$

Answer

1

Answer

${3 \over 2}$

Work, Energy and Power & Circular Motion

Consider a force \overrightarrow F = - x\widehat i + y\widehat j . The work done by this force in moving a particle from point A(1, 0) to B(0, 1) along the line segment is : (all quantities are in SI units)

Choose the correct answer: