Question

A particle moves from position $3 \hat { i } + 2 \hat { j } - 6 \hat { k }$ to $14 \hat { i } + 13 \hat { j } + 9 \hat { k }$ due to a uniform force of $4 \hat { i } + \hat { j } + 3 \hat { k } N$ If the displacement in meters then work done will be

• A. 100 J
• B. 200 J
• C. 300 J
• D. 250 J

Answer 1

Answer: (A)

100 J

Answer 2

$S = \overrightarrow { r _ { 2 } } - \overrightarrow { r _ { 1 } }$

$W = \vec { F } \cdot \vec { S }$ $= ( 4 \hat { i } + \hat { j } + 3 \hat { k } ) \cdot ( 11 \hat { i } + 11 \hat { j } + 15 \hat { k } )$