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Gravitational Potential

a conservativ...

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a conservative force in a region given by F = A\X^3i an expression for potential energy in the region assuming the potential at infinity to be zero

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Q. The electric field in a region is given by

\to E = (\frac{A}{x^{3}})^i

Write suitable SI unit for A.Write an expression for the potential in the region assuming the potential at infinity to be zero.

(V m^{2}, \frac{A}{2 x^{2}})

Q. The potential energy for a conservative force system is given by

U = a x^{2} - b x

. Where a and b are constants find out
1) The expression of force
2) Equilibrium position
3) Potential energy at equilibrium

Q. A uniform field of 2.0 NC⁻¹ exists in space in the x-direction. (a) Taking the potential at the origin to be zero, write an expression for the potential at a general point (x, y, z). (b) At which point, the potential is 25 V? (c) If the potential at the origin is taken to be 100 V, what will be the expression for the potential at a general point? (d) What will be the potential at the origin if the potential at infinity is taken to be zero? Is it practical to choose the potential at infinity to be zero?

Q. Potential energy for a conservative force

\to F

U (x, y) = cos (x + y)

. Force acting on a particle at position given by coordinates

(0, \frac{π}{4})

Q. Force acting on a particle in a conservative force field is:
(i)

F = (2^i + 3^j)

F = (2 x^i + 2 y^j)

F = (y^i + x^j)

Find the potential energy function, if it is zero at origin.

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