A force `vec F=(2 hat i + 3hat j \- 4 hat k)N` acts on a particle moves `5 sqrt(2)m`, the work done by force in joule is

A force vec(F) = hat(i) + 3 hat(j) + 2 hat(k) acts on a particle to displace it from the point A (hat(i) + 2hat(j) - 3 hat(k)) to the point B(3hat(i) - hat(j)+5hat(k)) . The work done by the force will be

Given four forces : vec F_1 = 3 hat i - hat j + 9 hat k vec F_2 = 2 hat i - 2 hat j + 16 hat k vec F_3 = 9 hat i + hat j + 18 hat k vec F_4= hat i + 2 hat j - 18 hat k If all these forces act on a particle at rest at the origin of a coordinate system, then identify the plane in which the particle would begin to move ?

A force vec(F) = hat(i) + 3hat(j) + 2hat(k) acts on a particle to displace it from the point A (hat(i) + 2hat(j) - 3hat(k)) to the point B (3hat(i) - hat(j) + 5hat(k)) . The work done by the force will be

A force vec(F)=(2hat(i)+hat(j)+3hat(k)) N acts on a particle of mass 1 kg for t = 2s. If initial velocity of particle is vec(u)=(2hat(i)+hat(j))ms^(-1) , then the speed of particle at the t = 2 s will be

The force 7 hat i+ 3 hat j - 5 hat k acts on a particle whose position vector is hat i- hat j + hat k . What is the torque of a given force about the origin ?

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 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).

Constant forces P_(1)=hat i+hat j+hat k,P_(2)=-hat i+2hat j-hat kandP_(3)=-hat j-hat k act on a particle at a point A* Determine the work done when particle is displaced from position A(4hat i-3hat j-2hat k)rarr B(6hat i+hat j-3hat k)

A constant force 3hat i+4hat j-5hat k acts on a particle at hat i+2hat j+2hat k and moves it to a point on the z -axis which is 3 units from origin,the work done is