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A solid cylindrical bar of 5-mm diameter is slowly stretched from an initial length of 100 mm to a final length of 101 mm. The normal stress acting at the end of the bar varies according to s = E(x - x1)/x1 , where x is the position of the end of the bar, x1 is the initial length, and E is a material constant (Young's modulus). For E = 2 * 107 kPa, determine the work done on the bar (J).
the distance on the map between tallahassee and miami is 5.5 centimeter. how many kilometers are represented by this distance on the map?
An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. what are the coordinates of the third vertex?
a ladder leans against a vertical wall.if the foot of the ladders is 10m away from the wall and the height of the wall is 12m. calculate i) a vertical angle made by the ladder. ii) the length of the ladder.
PART ONE: Consider the following data representing the response of patients to a new drug to help Type I k-factors (whatever that is). The measurement is the pain that people report 10 days after taking the drug. The scale is from 1-100 (100 being..
The curve, C, intersects the surface, S, in two points. Find the coordinates of these points. Find the arclength of the segment of the curve C that lies within the sphere S.
The simple interest formula I=prt gives the interest earned on an investment of p dollars at interest rate r for a time of t years. How much does Leroy need to invest at a rate of 7% in order to earn $420 interest in 4 years?
a production process requires a fixed cost of $50,000. The variance cost per unit is $25 and the revenue per unit is projected to be $45. Find the break-even point.
A simple pulley with the given radius used to lift heavy objects is positioned 10 feet above ground level. Given that the pulley rotates theta degrees, determine the height to which the object is lifted. a) r=4 in, theta=720 degrees b) r=2 ft, the..
A company has fixed costs of 20,000,and the cost of producing one unit of their product is $10. the unit sell for $20. write an equation for the total cost. write an equation for the total revenue. graph these equations to find the break even poin..
a bridge is built in the shape of a semielliptical arch. it has a span of 104. the height of the arch 25 feet from the center is 12 feet. find the height of the arch at its center.
the load a beam with a rectangular cross section can support is jointly proportional to the beam's width and the square of its depth and inversely proportional to its length one beam is half as wide twice as long
Explain the main reasons why some groundwater sources that we use may be more vulnerable to chemical contamination than others. Next, suggest one (1) strategy that the government can take to reduce groundwater contamination.
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