A Bungee Jumper's Kinetic Energy

📌 CONCEPT: The kinetic energy of the bungee jumper is obtained by converting 80% of the potential energy possessed by the jumper at a height of 50 m. This problem involves the conversion of potential energy into kinetic energy due to a decrease in height.

📐 RULE / FORMULA: The formula to be used is the conversion of potential energy into kinetic energy, where the initial potential energy (PE) is given by PE = mgh and the kinetic energy (KE) is given by KE = (0.8 * mgh).

💡 WORKED EXAMPLE: Given that the mass of the bungee jumper (m) is 60 kg, the height (h) is 50 m, and the acceleration due to gravity (g) is 9.8 m/s^2, we can calculate the speed of the jumper. Using the formula KE = (0.8 * mgh), we get KE = (0.8 * 60 * 9.8 * 50). Now, we know that KE = 1/2 mv^2, where v is the velocity of the jumper. We can equate the two expressions for KE and solve for v.

⚠️ COMMON MISTAKE: Students often forget to consider the conversion of 80% of the potential energy into kinetic energy, leading to incorrect calculations of the jumper's speed.