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QJEEM23Ph3f69: JEE Main 2023 Physics - Class 11 JEEM23Ph3f69 Solution: A spherical body of mass 2 kg starting from rest acquires a…

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

Step-by-Step Verified Solution

Let the force be FF so acceleration a=Fma=\frac{F}{m}

So displacement S=12at2=Ft22mS=\frac{1}{2} a t^{2}=\frac{F t^{2}}{2 m}

So work done W=F.S=F2t22mW=F . S=\frac{F^{2} t^{2}}{2 m}

From work energy Theorem

ΔKE=W\Delta K E=W

W=F2t22m=10000W=\frac{F^{2} t^{2}}{2 m}=10000

F=10000×2×252F=\sqrt{\frac{10000 \times 2 \times 2}{5^{2}}}

F=40 NF=40 \mathrm{~N}

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