Question
2. A2 .00 kg ball is dropped from the top of a 10.0 m high building. a. Calculate the potential energy AND kinetic energies at: 10 m
Solution
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WilliamElite · Tutor for 8 years
Answer
**a. Calculation of Potential and Kinetic Energies at 10m:**<br /><br />* **Potential Energy (PE):** PE = mgh, where m is the mass (2.00 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height (10.0 m).<br /><br /> PE = (2.00 kg) * (9.8 m/s²) * (10.0 m) = 196 Joules<br /><br />* **Kinetic Energy (KE):** At the initial height (10.0 m), the ball is just beginning its descent. It has not yet started moving, so its velocity is 0 m/s. Therefore, its kinetic energy is also 0.<br /><br /> KE = (1/2)mv² = (1/2) * (2.00 kg) * (0 m/s)² = 0 Joules<br /><br /><br />So, at 10.0 m:<br /><br />* **Potential Energy (PE) = 196 Joules**<br />* **Kinetic Energy (KE) = 0 Joules**<br />
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