A particle of mass `m` moves with a variable velocity v, which changes with distance covered x along a straight line as `v=ksqrtx`, where k is a positive constant. The work done by all the forces acting on the particle, during the first t seconds is

A particle of mass m moves along a circular path of radius r with a centripetal acceleration a_n changing with time t as a_n=kt^2 , where k is a positive constant. The average power developed by all the forces acting on the particle during the first t_0 seconds is

A particle of mass m moves along a circular path of radius r with a centripetal acceleration a_n changing with time t as a_n=kt^2 , where k is a positive constant. The average power developed by all the forces acting on the particle during the first t_0 seconds is

A particle of mass m kg moves along the X-axis with its velocity varying with the distance travelled as v= kx^(beta) , where k is a positive constant. The total work done by all the forces during displacement of the particle for x = 0 to x=d is close to

A particle of mass m moves along a circular path of radius r with a centripetal acceleration a_(n) changing with time t as a_(n)=kt^(2) , where k is a positive constant. The average power developed by all the forces acting on the particle during the first t_(0) seconds is

The velocity (v) of a pariticle of mass m moving along x-axls is given by v=bsqrtx, where b is a constant. Find work done by the force acting on the particle during its motion from x=0 to x=4m.

The velocity (v) of a pariticle of mass m moving along x-axls is given by v=bsqrtx, where b is a constant. Find work done by the force acting on the particle during its motion from x=0 to x=4m.

A particle of mass m moves on a straight line with its velocity varying with the distance travelled according to the equation v=asqrtx , where a is a constant. Find the total work done by all the forces during a displacement from x=0 to x=d .