Question

A vector makes an angle of 30° with the positive x-axis.

Find the work done by the force in moving the object 13 units in the direction of the positive x-axis.

Answer 1

W = 112.58 N-unit

Step-by-step explanation:

Given:

- Force F = 10 N

- Angle Q of force with x axis: 30 degrees

- distance to be moved d = 13 units along + x axis

Find:

Work Done by the force F:

Solution:

The work by force in positive x direction can only be done if the both the direction of distance traveled and direction of force are parallel vectors. Hence we compute the component of Force F in x direction F_x:

F_x = F*cos(Q)

F_x = 10*cos(30)

F_x = 8.66 N

Hence,

Work Done by force

W = F_x * d

W = 8.66 * 13

W = 112.58 N-unit