OnRamps Mechanics, Heat, and Sound (1) 9021 Name: __ 2) The car to the right is traveling around a curve at a constant speed. rear view of car a) Draw vectors and label them for each force acting on the car. b) Which of the forces are acting inward? __ c) Which of the forces are acting outward? __ d) What is the direction car's acceleration? __ e) What is the equation for the net force acting on the car? __ A woman flying aerobatics executes a maneuver as illustrated in Figure below: Figure 1 OModeling Workshop Project 2006

To answer the questions about the car traveling around a curve at constant speed, let's break it down step by step:<br /><br />---<br /><br />### **(a) Draw vectors and label them for each force acting on the car.**<br /><br />The forces acting on the car are as follows:<br />1. **Weight (Force of Gravity)**: Acts downward toward the center of the Earth.<br />2. **Normal Force**: Acts upward, perpendicular to the surface of the road.<br />3. **Frictional Force (Centripetal Force)**: Acts inward toward the center of the curve, keeping the car in circular motion.<br />4. **Inertia (Apparent Outward Force)**: This is not a real force but is often perceived as an outward "force" due to the car's tendency to move in a straight line (Newton's First Law).<br /><br />You would draw these vectors as follows:<br />- A downward arrow from the car labeled "Weight (mg)."<br />- An upward arrow from the car labeled "Normal Force."<br />- An inward arrow (toward the center of the curve) labeled "Frictional Force (Centripetal Force)."<br />- Optionally, you can show an outward arrow labeled "Inertia," though this is not a true force.<br /><br />---<br /><br />### **(b) Which of the forces are acting inward?**<br /><br />The force acting inward is the **Frictional Force (Centripetal Force)**. This force is responsible for keeping the car moving in a circular path.<br /><br />---<br /><br />### **(c) Which of the forces are acting outward?**<br /><br />There is no actual outward force acting on the car. However, the sensation of an outward force is due to the car's inertia (its resistance to change in motion). This is sometimes referred to as the "centrifugal force," but it is not a real force—it is a result of the car's tendency to move in a straight line.<br /><br />---<br /><br />### **(d) What is the direction of the car's acceleration?**<br /><br />The car's acceleration is directed **inward**, toward the center of the curve. This is called **centripetal acceleration**, and it occurs because the car is constantly changing direction as it moves along the curve.<br /><br />---<br /><br />### **(e) What is the equation for the net force acting on the car?**<br /><br />The net force acting on the car is the **centripetal force**, which is given by the equation:<br /><br />\[<br />F_{\text{net}} = F_{\text{centripetal}} = \frac{mv^2}{r}<br />\]<br /><br />Where:<br />- \(m\) is the mass of the car,<br />- \(v\) is the speed of the car,<br />- \(r\) is the radius of the curve.<br /><br />This force is provided by the friction between the tires and the road.<br /><br />---<br /><br />### For the aerobatics maneuver (Figure 1):<br />If you provide more details or clarify the specific question related to the aerobatics maneuver, I can assist further!