A particle is acted upon by only a conservative force `F=(7hat(i)-6hat(j))` N (no other force is acting on the particle). Under the influence of this force particle moves from (0, 0) to (-3m, 4m) then

The velocity of a particle of mass 2 kg is given by vec(v)=at hat(i)+bt^(2)hat(j) . Find the force acting on the particle.

A particle has initial velocity vec(v)=3hat(i)+4hat(j) and a constant force vec(F)=4hat(i)-3hat(j) acts on the particle. The path of the particle is :

A force of F = (5y + 20) hat (j) N N acts on a particle. The workdone by this force when the particle is moved from y = 0 m to y = 10 m is ______ J.

A force (hat(i)-2hat(j)+3hat(k)) acts on a particle of position vector (3hat(i)+2hat(j)+hat(k)) . Calculate the torque acting on the particle.

A force (hat(i)-2hat(j)+3hat(k)) acts on a particle of position vector (3hat(i)+2hat(j)+hat(k)) . Calculate the torque acting on the particle.

Force acting on a particle varies with x as shown in figure. Calculate the work done by the force as the particle moves from x = 0 to x = 6.0 m.

A particle of mass 2kg moves with an initial velocity of (4hat(i)+2hat(j))ms^(-1) on the x-y plane. A force vec(F)=(2hat(i)-8hat(j))N acts on the particle. The initial position of the particle is (2m,3m). Then for y=3m ,

A particle is acted upon by following forces: (i) 2hat(i)+3hat(j)+hat(k) , (ii) -5hat(i)+4hat(j)-3hat(k) and (iii) 3hat(i)-7hat(k) In which plane does it move?