Consider a force `overset ( r)(F)= -x^(3) hat( i) +y^(2) hat(j) `.The work done by this force in moving a particle from A(1,0) to B(0,1) along a straight line is `:` ( All quantities are in SI units )

If vec(F) = y hat(i) + x hat(j) then find out the work done in moving the particle from position (2,3) to (5,6)

If the work done by a force bar(F)=hat(i)+mhat(j)+hat(k) in moving the point of application from (1,1,1)" to "(3,3,3) along a straight is 12 units, then m is

Calculate the work done by the force vec(F) = y hat(i) to move the particle from (0,0) to (1,1) in the following condition (a) y = x (b) y = x^(2)

A particle moves in the x-y plane under the action of a force, F = K [ (x)/((x^(2) + y^(2))^((3)/(2))) hat(i) + (y)/((x^(2) + y^(2))^((3)/(2))) hat(j) ] where, K is a constant. Work done by the force when the particel moves from (0,a) to (a, 0) along a circular path of radius a about the origin is

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

The work done by a force F=2(x+4y)hat i+8xhat j N on a particle moving from origin to (4m,2m,0) along the path x^(2)=8y is 10n .Find the value of n