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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 body of mass 1kg begins to move from rest under the action of a...

A body of mass 1kg1kg begins to move from rest under the action of a time dependent force \overset{\to}{F} = \left(2t\overset{^}{i} + 3{t}^{2}\overset{^}{j}\right)N, where \overset{^}{i}and \overset{^}{j} are unit vectors along x and y axis. What power will be developed by the force at the time t?

Options

  1. A(2t2+3t3)W\left(2{t}^{2} + 3{t}^{3}\right)W
  2. B(2t2+4t4)W\left(2{t}^{2} + 4{t}^{4}\right)W
  3. C(2t3+3t4)W\left(2{t}^{3} + 3{t}^{4}\right)W
  4. D(2t3+3t5)W\left(2{t}^{3} + 3{t}^{5}\right)W

Correct answer

D. (2t3+3t5)W\left(2{t}^{3} + 3{t}^{5}\right)W

Step-by-step solution

\overset{\to}{a} = 2t\overset{^}{i} + 3{t}^{2}\overset{^}{j}

\overset{\to}{\text{V}} = \dfrac{{2t}^{2}}{2} \overset{^}{i} + \dfrac{3}{3} {t}^{3} \overset{^}{j}

\overset{\to}{F} = 2t\overset{^}{i} + 3{t}^{2}\overset{^}{j}

P=F→.V→=2t3+3t5P = \overset{\to}{F} . \overset{\to}{V} = 2{t}^{3} + 3{t}^{5}

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