(Ieus - (a) 18. A particle with total energy E is moving i potential energy region U(x). Motion of particle is restricted to the region when 24. Th (a) U(x) < E (b) U(x) = 0 (c) U(x) E (Karnataka NEET 20 WC

A particle with total energy $E$ is moving in a potential energy region $U\left(x\right)$. Motion of the particle is restricted to the region when :

A particle with total energy E moves in one dimension in a region where the potential energy is $U\left(x\right)$. The acceleration of the particle is zero where:

A single conservative $$f\left(x\right)$$ acts on a $$m=1kg$$ particle moving along the x-axis. The potential energy $$U_{\left(x\right)}$$ is given by $$U_{\left(x\right)}=20+\left(x-2\right)^{2}$$ where $$x$$ is in metres. At $$x=5m$$, a particle has kinetic energy of $$20J$$.
The maximum value of potential energy is

The potential energy function $U\left(x\right)$ of a particle moving along $x$ direction is given by $U\left(x\right)=a{x}^2-bx$. Find the equilibirum point $\left(x_e\right)$.

A single conservative $$f\left(x\right)$$ acts on a $$m=1kg$$ particle moving along the x-axis. The potential energy $$U_{\left(x\right)}$$ is given by $$U_{\left(x\right)}=20+\left(x-2\right)^{2}$$ where $$x$$ is in metres. At $$x=5m$$, a particle has kinetic energy of $$20J$$.
The total mechanical energy of the system is