A Question 22 (1 point)Retake question A 2.00 kg ball is thrown vertically into the air. If the total mechanical energy is 100J, the kinetic energy is __ J, when the ball is 1.50 m above the ground. (Do NOT include units) square A View hint for Question 22

Here's how to solve this problem:<br /><br />1. **Understand the concept of Mechanical Energy:** Mechanical energy (ME) is the sum of potential energy (PE) and kinetic energy (KE). In this case, ME = PE + KE = 100 J.<br /><br />2. **Calculate Potential Energy:** 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 (1.50 m). So, PE = (2.00 kg)(9.8 m/s²)(1.50 m) = 29.4 J.<br /><br />3. **Calculate Kinetic Energy:** Since ME = PE + KE, we can rearrange the equation to find KE: KE = ME - PE. Therefore, KE = 100 J - 29.4 J = 70.6 J.<br /><br />So the answer is $\boxed{70.6}$<br />