A constant force of pounds moves an object in a straight line from the point (0, 0) to the point (23, -15). Compute the work done.
A) -595
B) 0
C) -635
D) 865

Question

A constant force of  pounds moves an object in a straight line from the point (0, 0) to the point (23, -15). Compute the work done.
A) -595 
B) 0 
C) -635 
D) 865

Quizplus · Accepted Answer

We can use the formula for work done by a constant force in a straight line:

Work = force x distance x cos(theta)

where theta is the angle between the force and the displacement. In this case, the force is constant and in the same direction as the displacement, so cos(theta) = 1.

The distance between the two points is given by the distance formula:

distance = sqrt((23-0)^2 + (-15-0)^2) = sqrt(23^2 + 15^2) = sqrt(754)

Putting it all together:

Work = 11eaa948_cdbd_d144_84bc_bf197324b39e_TB2342_11 pounds x sqrt(754) x 1
     = 865.01

Therefore, the answer is D.

A Constant Force of Pounds Moves an Object in a Straight