03:49
Practice Problem in Physics for the JEE Main and Advanced
$\Lambda$ single conservative force $F$ acts on $1 \mathrm{~kg}$ particle that moves along $x$ -axis. The potential encrgy $U$ is given by $U=20+(x-2)^{2}$ where $x$ is in meters. $\Lambda t x=5 \mathrm{~m}$ the particle has a kinetic energy of $20 \mathrm{~J}$.
1. What is mechanical energy of the system
(a) $29 \mathrm{~J}$
(b) $20 \mathrm{~J}$
(c) $49 \mathrm{~J}$
(d) $19 \mathrm{~J}$
2. The maximum kinetic cnergy of particle
(a) $29 \mathrm{~J}$
(b) $20 \mathrm{~J}$
(c) $49 \mathrm{~J}$
(d) $98 \mathrm{~J}$
3. For what (finitc) value of $x$, does $F(x)=0 ?$
(a) $x=2 \mathrm{~m}$
(b) $x=4 \mathrm{~m}$
(c) $x=0 \mathrm{~m}$
(d) $x=1 \mathrm{~m}$