A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to 

  • Option 1)

    t^{\frac{1}{2}}

  • Option 2)

    t^{\frac{3}{4}}

  • Option 3)

    t^{2}

  • Option 4)

    t^{\frac{3}{2}}

 

Answers (1)
V Vakul

As we discussed in concept

Kinetic energy -

k= \frac{p^{2}}{2m}

- wherein

p\rightarrow momentum

m\rightarrow mass

kinetic Energy is frame dependent

 

 P=fv

=(ma)(at)=ma^{2}t

\frac{p}{m}=a^{2}t

S=\frac{1}{2}at^{2}

S^{2}=\frac{1}{4}a^{2}t^{4}

Thus we have S 

t3/2


Option 1)

t^{\frac{1}{2}}

Option is incorrect

Option 2)

t^{\frac{3}{4}}

Option is incorrect

Option 3)

t^{2}

Option is incorrect

Option 4)

t^{\frac{3}{2}}

Option is correct

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