Tom enlists the help of his friend John to move his car. They apply forces to the car as shown in the diagram. Here F1 = 445N and F2 = 331N and friction is negligible. In the diagram below, the mass of the car = 3500 kg, θ1 = −25° and θ2 = 12°. (Assume the car faces the positive x-axis before the forces are applied.) (a) Find the resultant force (in N) exerted on the car.-magnitude: N- direction: (counterclockwise from the +x-axis) ° (b) What is the acceleration (in m/s2) of the car?- magnitude: m/s2- direction: (counterclockwise from the +x-axis) **Educational Website Content****Analysis of Forces Acting on a Car in Motion**In the diagram provided, we see a top-down view of a blue car with vectors indicating forces acting upon it. The image helps to illustrate how different forces can be analyzed when dealing with objects in motion, which is essential for understanding principles in physics and engineering.**Diagram Explanation:**1. **Car Representation**: - The car is shown from a top-down perspective, simplifying the complexity of real-world forces into a 2-dimensional plane. 2. **Force Vectors**: - Two forces, represented by the vectors \( \vec{F}_1 \) and \( \vec{F}_2 \), are acting upon the car at different angles. - \( \vec{F}_1 \) is directed at an angle \( \theta_1 \) below the horizontal dashed line. - \( \vec{F}_2 \) is directed at an angle \( \theta_2 \) above the horizontal dashed line. - The directions of these vectors illustrate how forces can act upon a car in varying directions, influencing its movement and acceleration.3. **Angular Designations**: - \( \theta_1 \) and \( \theta_2 \) are the angles between each force vector and the dashed horizontal axis. These angles are crucial for resolving the force vectors into their horizontal and vertical components.**Application**:Understanding how to break down these forces into their components and how they interact with each other is fundamental in fields such as automotive engineering, physics, and mechanics. By analyzing forces in this manner, one could predict the resultant motion of the car and design systems to optimize performance and safety.

Name: Tom enlists the help of his friend John to move his car. They apply fo
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: Tom enlists the help of his friend John to move his car. They apply forces to the car as shown in the diagram. Here F1 = 445N and F2 = 331N and friction is negligible. In the diagram below, the mass of the car = 3500 kg, θ1 = −25° and θ2 = 12°. (Assu