Solve the problem.
-Find the work done by a force of 11i (newtons) in moving an object along a line from the origin to the point (9, 6) (distance in meters).
A) 99.00 joules
B) 93.51 joules
C) 119.0 joules
D) 13.22 joules

Question

Quizplus · Accepted Answer

The work done by a force in moving an object is given by the dot product of the force vector and the displacement vector. Here, the force vector is $11\mathbf{i}$ (in newtons) and the displacement vector from the origin to the point (9, 6) is $9\mathbf{i} + 6\mathbf{j}$ (in meters). The dot product is $11\mathbf{i} \cdot (9\mathbf{i} + 6\mathbf{j}) = 11*9 + 0*6 = 99$. Therefore, the work done is 99 joules.

Solve the Problem. -Find the Work Done by a Force of 11i (Newtons)