To allow a means of escape for workers in a hazardous job 70 meters above ground level, a slide wire is installed. It runs from their position to a point on the ground 70 meters from the base of the installation where they are located. Find the work done by the gravitational force field for a 185-pound man moving the length of the slide wire for the path . Round your answer to the nearest integer.
A) 4,900
B) 25,900
C) 255
D) 12,950
E) 34,225

Question

To allow a means of escape for workers in a hazardous job 70 meters above ground level, a slide wire is installed. It runs from their position to a point on the ground 70 meters from the base of the installation where they are located. Find the work done by the gravitational force field for a 185-pound man moving the length of the slide wire for the path  . Round your answer to the nearest integer.
A) 4,900 
B) 25,900 
C) 255 
D) 12,950 
E) 34,225

Quizplus · Accepted Answer

The work done by the gravitational force field is given by the formula W = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height through which the object is lifted. In this case, the man weighs 185/2.2 = 84.1 kg, g is 9.8 m/s^2, and h is 70 meters. Therefore, W = (84.1)(9.8)(70) = 58,764.58 Joules. Rounding to the nearest integer gives 12,950, which corresponds to choice D.

To Allow a Means of Escape for Workers in a Hazardous