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  4. A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of 5 text th second. The force acted on the body is N.

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Q. A spherical body of mass $2\, kg$ starting from rest acquires a kinetic energy of $10000\, J$ at the end of $5^{\text {th }}$ second. The force acted on the body is ___$N$.

JEE MainJEE Main 2023Work, Energy and Power

Solution:

$ \frac{1}{2} \times 2 \times v^2=10000 $
$\Rightarrow v^2=10000$
$ \Rightarrow v =100\, m / s $
$ \Rightarrow v = at = a \times 5=100 $
$ \Rightarrow a =20\, m / s ^2 $
$ F = ma =2 \times 20=40 \,N $