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Kinetic Energy Formulae

in a certain ...

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in a certain field the potential energy is u=ax^2-bx^3 where a and b are cons†an t the particle is in stable equilibrium at x is equals to

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Q. The potential energy of a particle in a certain field is given by

U = \frac{a}{r^{2}} - \frac{b}{r},

where a and b are positive constants and r is the distance from the centre of the field. The distance of particle in the stable equilibrium position is

Q. The potential energy of a conservative system is given by

U = A x^{2} - B x

x

represents the position of the particle.

A

B

are positive constants. Then

Q. The potential energy of a force field is: U =

\frac{A}{r^{2}} - \frac{B}{r}

B are positive constants and r is the distance of particle from the field. For stable equilibrium, the distance of the particle is :

Q. The potential energy of a conservative system is given by

U = a x^{2} - b x

where a and b are positive constants. Find the equilibrium position and discuss whether the equilibrium is stable, unstable or neutral.

Q. The potential energy between two atoms in a molecule is given by

U = a x^{3} - b x^{2}

a

b

are positive constants and

x

is the distance between the atoms. The atom is in stable equilibrium when

x

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