**Vertical Circular Motion Problem****1) A jet flying in the air executes a vertical circular loop with a radius of 500 m at a constant speed of 120 m/s.****a) Draw the free body diagrams for a 75.0 kg pilot at the top and the bottom of the loop.***Diagram Explanation:*- The loop depicted is a circle with radius \( R \).- The jet's position can be at different points along this circle, primarily focused here on the topmost and bottommost points.- At the top of the loop, both gravitational force (\( mg \)) and normal force (\( N \)) will act downward towards the center of the loop.- At the bottom of the loop, gravitational force (\( mg \)) acts downward, while the normal force (\( N \)) acts upward.![Diagram of loop](loop_diagram.png)**b) What is the algebraic expression for the normal force of the seat on the pilot at the top of the loop? Calculate its magnitude.***Calculation Explanation:*- At the top of the loop: \[ N_{\text{top}} + mg = \frac{mv^2}{R} \] Where: - \( N_{\text{top}} \) is the normal force at the top of the loop. - \( m \) is the mass of the pilot (75.0 kg). - \( g \) is the acceleration due to gravity (9.8 m/s²). - \( v \) is the speed of the jet (120 m/s). - \( R \) is the radius of the loop (500 m).Therefore: \[ N_{\text{top}} = \frac{m v^2}{R} - mg \] Plug in the known values to find the magnitude.**c) What is the algebraic expression for the normal force of the seat on the pilot at the bottom of the loop? Calculate its magnitude.***Calculation Explanation:*- At the bottom of the loop: \[ N_{\text{bottom}} - mg = \frac{mv^2}{R} \] Where: - \( N_{\text{bottom}} \) is the normal force at the bottom of the loop. - \( m \) is the mass of the pilot (75.0 kg). - \( g \) is

Name: **Vertical Circular Motion Problem****1) A jet flying in the air exec
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: **Vertical Circular Motion Problem****1) A jet flying in the air executes a vertical circular loop with a radius of 500 m at a constant speed of 120 m/s.****a) Draw the free body diagrams for a 75.0 kg pilot at the top and the bottom of the loop.***