A force `vec F = (3t hat i + 5 hat j)N` acts on a body due to which its position varies as `vec S =(2t^2 hat i - 5 hat j)`. Work done by this force in initial 2s is:

A force F=(3thati + 5hatj)N acts on a body due to which its displacement varies as S=(2t^(2)hat-5hatj)m . Work done by these force in 2 s is .

A force F=(3thati + 5hatj)N acts on a body due to which its displacement varies as S=(2t^(2)hat-5hatj)m . Work done by these force in 2 s is .

If vec F =2 hat i + 3hat j +4hat k acts on a body and displaces it by vec S =3 hat i + 2hat j + 5 hat k , then the work done by the force is

A force vecF=hat i+5 hat j+7 hat k acts on a particle and displaces it throught vec s=6 hat I +9 hat k . Calculate the work done if the force is in newton and displacement in metre. (ii) Find the work done by force vec F=2hat i-3 hat j+hatk when its point of application moves from the point A(1,2,-3) to the point B (2,0, -5).

A force (3 hat(i)+4 hat(j)) acts on a body and displaces it by (3 hat(i)+4 hat(j))m . The work done by the force is

A force vec(F) = (40 hat (i) + 10 hat(j)) N acts on body of mass 5 kg. If the body starts from rest, its position vector vec(r) at time t = 10 s, will be

Work done by a force F on a body is W = F .s, where s is the displacement of body. Given that under a force F = (2 hat i +3 hat j +4 hat k) N a body is displaced from position vector r_1 = (2 hat i +3 hat j + hat k) m to the position vector r_2 = (hat i +hat j+ hat k) m. Find the work done by this force.

A force vec(F) = (4hat(i) - 3hat(j) - 5hat(k)) N moves a body for (3hat(i) + 6hat(j) + 3hat(k)) m to (ahat(i) - 8hat(j) + 5hat(k)) m. If the work done by the force is 8j, the value of .a. is

A force vec(F) = (2 hat(i) + 3 hat(j) + 4 hat(k)) N is applied to a point having position vector vec(r) = (3 hat(i) + 2 hat(j) + hat(k)) m. Find the torque due to the force about the axis passing through origin.