A locomotive of mass m starts moving so that its velocity varies according to the law `V=alphasqrts,` where `alpha` is a constant and s is the distance covered. Find the total work done by all the forces acting on the locomotive during the first t seconds after the beginning of motion.

A locomotive of mass m starts moving so that its velocity varies according to the law v=asqrts , where a is a constant, and s is the distance covered. Find the total work performed by all the forces which are acting on the locomotive during the first t seconds after the beginning of motion.

A locomotive of mass 'm' starts moving so that its velocity varies as v=alpha s^(2/3) where alpha is a positive constant and 's' is the distance travelled .The total work done by all the forces acting on the locomotive during first 't' second after the start of motion is

A body of mass m starts moving from rest along x-axis so that it velocity varies as v= asqrt(s) where a is a constant and s is the distance covered by the body .The total work done by all the forces acting on the body in the first second after the start of the motion is :

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 on a straight line with its velocity varying with the distance travelled according to the equation v=asqrtx , wher ea is a constant. Find the total work done by all the forces during a displacement from x=0 to x=d .

A paricle of mass m moves along a circle of radius R with a normal acceleration varying with time as w_n=at^2 , where a is a constant. Find the time dependence of the power developed by all the forces acting on the particle, and the mean value of this power averaged over the first t seconds after the beginning of motion.

A particle of mass m moves along a circle of radius R with a normal acceleration varying with time as a_(N)=kt^(2) where k is a constant. Find the time dependence of power developed by all the forces acting on the particle and the mean value of this power averaged over the first t seconds after the beginning of the motion.

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. total distance covered by the particle is

A particle of mass m moves along a circle of radius R with a normal acceleration varying with time as a_(n) = bt^(2) , where b is a constant. Find the time dependence of the power developed by all the forces acting on the particle, and the mean value of this power averaged over the first 2 seconds after the beginning of motion, (m = 1,v = 2,r = 1) .

A point mass of 0.5 kg is moving along x- axis as x=t^(2)+2t , where, x is in meters and t is in seconds. Find the work done (in J) by all the forces acting on the body during the time interval [0,2s] .