ntThe rate of doing work by force acting on a particle moving along x-axis depends on position x of particle and is equal to 2x . The velocity of particle is given by expression ?n

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The rate of doing work by force acting on a particle moving along x-axis depends on position $x$ of particle and is equal to $2 x$ . The velocity of the particle is given by the expression.

Q. The velocity

(v)

of a particle of mass

m

moving along x-axis is given by

v = α \sqrt{x}

, where

α

is a constant. Find work done by force acting on particle during its motion from

x = 0

x = 2 m

Q. The force acting on a particle of mass

m

moving along the x-axis is given by

F (x) = A x^{2} - B x

. Which one of the following is the potential energy of the particle?

Q. The force acting on a particle moving along X-axis is F = −k(x − v_o t) where k is a positive constant. An observer moving at a constant velocity v₀ along the X-axis looks at the particle. What kind of motion does he find for the particle?

Q. If a particle of charge q is moving with velocity v along the z - axis and the magnetic field B is acting along x - axis, use the expression

\to F = q (\to v \times \to B)

to find the direction of the force F acting on it.

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