Solve the problem.
-Find the work done by a force of 18i (newtons) in moving as object along a line from the origin to the point (3, 3) (distance in meters).
A) 54 joules
B) $54 \sqrt { 2 }$ joules
C) $38.18$ joules
D) $18 \sqrt { 2 }$ joules

Question

Solve the problem.
-Find the work done by a force of 18i (newtons) in moving as object along a line from the origin to the point (3, 3) (distance in meters). 
A) 54 joules
B) $54 \sqrt { 2 }$ joules
C) $38.18$ joules
D) $18 \sqrt { 2 }$ joules

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 $18\mathbf{i}$ and the displacement vector from the origin to the point (3, 3) is $3\mathbf{i} + 3\mathbf{j}$. The dot product is $18\mathbf{i} \cdot (3\mathbf{i} + 3\mathbf{j}) = 18*3 + 0 = 54$ joules.

Solve the Problem 54254 \sqrt { 2 }542​ Joules C) 38.1838.1838.18 Joules D)

Solve the Problem $54 \sqrt { 2 }$ Joules
C) $38.18$ Joules
D)