Assume that a force acting on an object is given by {\vec F} =ax{\hat i} +by{\hat j} , where the constants a = 3.3 {\rm N/m} and b = 4.2 {\rm N/m}.

Assume that a force acting on an object is given by {vec F} =ax{hat i} +by{hat j} , where the constants a = 3.3 {rm N/m} and b = 4.2 {rm N/m}.Determine the work done on the object by this force as it moves in a straight line from the origin to {vec r} = (12.0{hat i} + 20.0{hat j}){rm m}.

We know,Work done = W = F.s[where F= force, s= displacement]Acoording to the question,F= ax i + by js= 12 i + 20jHere, W = F.s = (ax i + by j ) . (12 i + 20j)= (12 ax + 20 by) [as,...