Understanding Law of Conservation of Energy Equation Calculations

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Learn how to calculate the Law of Conservation of Energy using the formula, understanding that energy cannot be created or destroyed. Explore calculation examples including gravitational potential energy and kinetic energy scenarios to grasp the concepts effectively.


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  1. Law of Conservation of Energy Equation Calculations

  2. Learning Objectives I can calculate the Law of Conservation of Energy using the formula.

  3. Law of Conservation of Energy Definition and Formula Energy can not be created or destroyed. Formula: (KE + PE)beg = (KE + PE)end

  4. Calculation Example #1 A 1.25kg stone fell from a cliff and struck the ground at a speed of 29.4m/s. What was the gravitational potential energy of the stone before it fell? Given/ Unknown KEbeg = PEbeg = KEend = PEend = m = v = h = Work 0J 0J + PEbeg= (KE =1 (KE + PE)beg = (KE + PE)end 0J + PEbeg= (KE =1 0J + PEbeg= (KE =1 2?v2 + 0J)end ? 540.22 0J 1.25kg 29.4 m/s 21.25kg (29.4?/?)2 + 0J)end 21.25kg (864.36?2/s2) + 0J)end 0J + PEbeg= (540.22J + 0J)end PEbeg = 540.22J

  5. Calculation Example #2 A 56kg teen attached to a bungee cord jumps off a 10m high tower. What is the kinetic energy when she reaches the bottom of her fall? Given/ Unknown KEbeg = PEbeg = KEend = PEend = m = v = h = 10 m Work 0J 0J + PE = mghbeg= (KE + 0J)end (KE + PE)beg = (KE + PE)end 0J + PE = 56?? 9.8?/?/? (10?beg= (KE + 0J)end 5488J ? 0J 56kg 0J + 5488?beg= (KE + 0J)end KEend = 5488J

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