Question

A particle of mass 0.5 kg is displaced from position (2, 3, 1) to $\stackrel { \rightharpoonup } { r } _ { 2 }$ (4, 3, 2) by applying a force of magnitude 30 N which is acting along $( \hat { i } + \hat { j } + \hat { k } )$ . The work done by the force is –

• A. 10$\sqrt { 3 }$J
• B. 30$\sqrt { 3 }$J
• C. 30 J
• D. None of these

Answer 1

Answer: (B)

30$\sqrt { 3 }$J

Answer 2

\ = F. = 30

 $\overrightarrow { \mathrm { F } }$ = 10$\sqrt { 3 }$ $( \hat { i } + \hat { j } + \hat { k } )$ ……. (1)

and = – = ….. (2)

\ W = $\sqrt { 3 }$J