Question 126: 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)

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: