The potential energy of a certain particle is given by `U = 30x^2 - 20 y^2`. Find the force acting on the particle.

The electric potential at a point is given by V = 3x^2 y + 5y^2 + 7z^2X . Find the magnitude of electric field at the point (3,2,1).

For a hypothetical hydrogen like atom, the potential energy of the system is given by U(r)=(-Ke^(2))/(r^(3)) , where r is the distance between the two particles. If Bohr's model of quantization of angular momentum is applicable then velocity of particle is given by:

A charged particle having a charge of -3muC is placed close to a sheet of charge having a surface charge density 5xx10^-6 Cm^-2 . Find the force of attraction between the particle and the sheet of charge.

In figure. (x,t), (y,t) diagram of a particle in 2-dimensions. If the particle has a mass of 500 g. Find the force (direction and magnitude) acting on the particle.

The displacement of a particle along a straight time at line t is given by ,x=4+2t +3t^2+4t^3 .Find acceleration fo the particle at t=2 second.

The displacement of a particle is given by x = (t-2)^2 where x is in metres and t in seconds. The distance covered by the particle in first 4 seconds is