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NEET 2016
Exam
NEET
Year
2016
Subject
Physics
Chapter
Work, Power and Energy

NEET 2016 · Physics · Work, Power and Energy

A particle moves from a point (- 2 ^ i + 5 ^ j ) to (4 ^ j + 3 ^ k...

A particle moves from a point \left(- 2\overset{^}{i} + 5\overset{^}{j}\right) to \left(4\overset{^}{j} + 3\overset{^}{k}\right)when a force of \left(4\overset{^}{i} + 3\overset{^}{j}\right)N is applied. How much work has been done by the force?

Options

  1. A8J8\text{J}
  2. B11J11\text{J}
  3. C5J5\text{J}
  4. D2J2\text{J}

Correct answer

C. 5J5\text{J}

Step-by-step solution

\overset{\to}{S} = \overset{\to}{r}2 - \overset{\to}{r}1 = \left(4\overset{^}{j} + 3\overset{^}{k}\right) - \left(- 2\overset{^}{i} + 5\overset{^}{j}\right)

= 2\overset{^}{i} - \overset{^}{j} + 3\overset{^}{k}

\overset{\to}{F} = 4\overset{^}{i} + 3\overset{^}{j}

W=F→.s→=8−3=5JW = \overset{\to}{F} . \overset{\to}{s} = 8 - 3 = 5J
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