Calculate the total potential energy, in Btu, of an object that is 20 ft below a datum level at a location where g=31.7fts2 and which has a mass of 100 lbm.

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habbocowji · Accepted Answer

Step 1  The total potential energy simply is:  PE=mgz  =100×31.7×20×125037Btu  =2.53Btu

trisanualb6 · Accepted Answer

Step 1Given:The mass is&amp;nbsp;m=100lbmThe gravitational acceleration is&amp;nbsp;g=31.7&amp;nbsp;fts2The height below the datum level is&amp;nbsp;h=20ftStep 2The following gives the expression for the total potential energy change:1)&amp;nbsp;U=−m×g×hHere, U is the total potential energy change, m is the mass, g is the gravitational acceleration, h stands for height below datum level.Substitute the known values in the equation (1).U=−100lbm×31.7ft/s2×20ftU=−63400ft2×lbms2×0.000039948089Btu1ft2×lbms2U=−2.53255BtuStep 3Thus, the total potential energy change is -2.53225 Btu.

Eliza Beth13 · Accepted Answer

Step 1:To calculate the total potential energy of an object, we can use the formula:PE=m·g·hWhere:PE is the potential energy,m is the mass of the object,g is the acceleration due to gravity, andh is the height or distance above the reference level.In this case, the mass of the object is given as 100 lbm, the acceleration due to gravity is 31.7(ft)/(s2), and the object is located 20 ft below the reference level.Substituting the given values into the formula, we can calculate the potential energy:PE=100lbm·31.7(fts2)·(−20ft)Step 2:Now let&#039;s solve the equation:PE=100×31.7×(−20)ft×lbm(fts2)Simplifying the equation gives us:PE=−63,400ft×lbm(fts2)Therefore, the total potential energy of the object is −63,400ft·lbm/ft·s2, or −63,400Btu.

Nick Camelot · Accepted Answer

Result:81.453BtuSolution:Given that the object has a mass of 100 lbm, is 20 ft below the datum level, and the acceleration due to gravity is 31.7(ft)/(s2), we can substitute these values into the formula.PE=100lbm·31.7(fts2)·20ftNow, let&#039;s calculate the potential energy:PE=100·31.7·20ftlbm/(s2)PE=63,400ftlbm/(s2)Finally, we can convert the units from foot-pound mass per second squared (ft&amp;nbsp;lbm/s2) to British Thermal Units (Btu).1 Btu is equivalent to 778.169ft&amp;nbsp;lbm/s2.PE=63,400ftlbms2×1Btu778.169ftlbm/s2Simplifying the units, we get:PE=63,400778.169BtuNow, calculating the value:PE≈81.453BtuTherefore, the total potential energy of the object is approximately 81.453Btu.

Calculate the total potential energy, in Btu, of an object

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