\[(a)\;5.33\;J \quad (b)\;8.67\;J \quad (c)\; 2.33 \;J \quad (d)\;6.67\;J\]

Want to ask us a question? Click here

Browse Questions

Ad |

0 votes

0 votes

From work energy theorem

Kinetic energy of block

$k=\int \limits_0^x (4-x^2)dx$

$k=4x-\large\frac{x^3}{3}$

For K to be maximum $\large\frac{dh}{dx}$$=0$

$\large\frac{dk}{dx}$$=4-x^2$

$4=x^2$

$x=\pm 2$

At $x=+2 \quad \large\frac{d^2k}{dx^2}$ is -ve . So k is maximum

$k_{max}=4(2)-\large\frac{(2)^3}{3}=\large\frac{16}{3}$$J=5.33\;J$

Ask Question

Tag:MathPhyChemBioOther

Take Test

x

JEE MAIN, CBSE, NEET Mobile and Tablet App

The ultimate mobile app to help you crack your examinations

...