Learning Objectives I can mathematically rearrange the potential energy equation I can calculate Potential Energy using the formula Gravitational Potential Energy GPE Potential Energy that depends upon an objects height above a reference point ID: 1022224
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1. Rearranging Potential Energy Equation
2. Learning ObjectivesI can mathematically rearrange the potential energy equation.I can calculate Potential Energy using the formula.
3. Gravitational Potential Energy (GPE)Potential Energy that depends upon an objects height above a reference pointFormula:PE = mghPotential energy is calculated by:The object’s mass (m), multiplied by the earth’s gravitational pull (g) (9.8 m/sec/sec), multiplied by the height (h) the object can fall.
4. Formula RepresentationmassFormulaRepresentsUnitsPE = mghPE = Potential EnergyJoules (J)m = massKilogram (kg)PE = mghg = acceleration due to gravitym/s/sh = heightMeter (m)
5. Solve for Mass (m) PE = mgh m = Step 1 – Divide both sides by gh__gh__gh
6. Solve for Height (h) PE = mgh h = Step 1 – Divide both sides by gm__gm__gm
7. Potential Energy Related EquationsPotential EnergymassheightPE = mghm = h = Potential EnergymassheightPE = mgh
8. Calculation Example #1What is the gravitational potential energy of a 5kg object resting at a height of 3m off the ground?Given/UnknownWorkPE = m = g = h = 5kg?9.8m/s/s PE = 147J3m
9. Calculation Example #2What is the gravitational potential energy associated with a 75kg tourist at the top floor of the Sears Tower in Chicago, with respect to the street 436m below?Given/UnknownWorkPE = m = g = h = 75kg?9.8m/s/s PE = 320,460J436m
10. Calculation Example #3An automobile to be transported by ship is raised 7.0m above the dock. If its gravitational potential energy is 66,000J, what is the automobiles mass?Given/UnknownWorkPE = m = g = h = ?66,000J9.8m/s/s 7m
11. Calculation Example #4The gravitational potential energy of a 15kg object is 294J. What is the height of the object above the ground?Given/UnknownWorkPE = m = g = h = 15kg294J9.8m/s/s ?