In the first image, the diagram shows a cart with a spring colliding with the fixed bracket on the track at three different instant during a collision. t1 is shortly after collision with the bracket, t2 is at maximum compression of the spring, and t3 is after the spring has recovered most but not all of its normal length. a. On the second picture, indicate possible times t1, t2, and t3 on the time axis of the force-time graph. Determine approximate values of of the force at each of those instants.b. If the mass of the cart and sensor is 0.850 kg, calculate the acceleration at each instant. c. Draw the velocity and acceleration vectors above the cart at each instant t1, t2, and t3 and make sure that their relative lengths are appropriate. Explain how your response would have been different if the bumper had been made of clay. **Title: Understanding Force-Time Graphs in Physics****Introduction**Force-time graphs are a fundamental concept in physics that illustrate how the force applied to an object varies over time. These graphs can provide significant insights into the nature of the force applied and the resulting motion of the object. **Description of the Force-Time Graph**The graph in Figure 8-18 shows a single curve depicting how force changes over time. Here is a detailed explanation of the graph:1. **Axes**: - **Horizontal Axis (X-Axis)**: Represents time. - **Vertical Axis (Y-Axis)**: Represents force measured in Newtons (N).2. **Units and Scale**: - The vertical axis is marked by a single point at 30 N, indicating the maximum value the force reaches. - The horizontal axis is marked by equally spaced intervals representing consistent units of time (the specific time units are not indicated in the graph).3. **Graph Shape**: - The graph forms a smooth, symmetrical curve resembling a bell shape, starting from the origin (0,0). - The force gradually increases from 0 N to 30 N, reaching its maximum value at the peak of the curve. - After reaching the peak, the force then symmetrically decreases back to 0 N.**Interpreting the Graph**- **Initial Phase**: At the beginning (time = 0), the force is zero.- **Increasing Force**: As time progresses, there is a gradual increase in force until it peaks at 30 N. This part of the curve signifies a build-up of applied force.- **Peak Force**: The highest point of the graph indicates the maximum force applied, which is 30 N.- **Decreasing Force**: Following the peak, the force decreases symmetrically, returning to 0 N as time continues.**Applications in Physics**- **Motion Analysis**: This type of force-time graph is crucial for understanding how forces affect the motion of an object over time. The area under the curve represents the impulse delivered to an object.- **Impulse and Momentum**: The impulse experienced by the object can be calculated, which is essential for analyzing changes in momentum.**Conclusion**Force-time graphs are valuable tools in physics, helping to visualize and analyze varying forces applied to objects over time. Understanding these graphs aids in comprehending the dynamics of force and motion in various physical systems **Title: Understanding Compression and Decompression of a Spring with a Block****Figure 8-17: Compression and Decompression of a Spring**This figure illustrates the sequence of a spring being compressed and then decompressed as it interacts with a block. The figure is split into three different time frames: \( t_1 \), \( t_2 \), and \( t_3 \).1. **At \( t_1 \):** - The spring is in an initial compressed state against the green block. - The block is in close contact with the spring, creating compression.2. **At \( t_2 \):** - The spring begins to decompress, pushing the green block forward. - The block and spring are still in contact, but there is reduced compression compared to \( t_1 \).3. **At \( t_3 \):** - The spring reaches a more decompressed state, pushing the block further away. - The block appears to be moving away from the spring as it continues to decompress.**Explanation of the Diagram:**- The black horizontal bars represent a surface or track on which the green block moves.- The rounded green shapes under the block suggest wheels or a roller mechanism that allows the block to move smoothly.- The spring is depicted as a coiled object which stores mechanical energy.- As the spring decompresses, it exerts a force on the block, causing it to move away progressively.This diagram is essential for understanding the principles of kinetic and potential energy in a spring-block system. The compression of the spring stores potential energy, which is converted into kinetic energy as the spring decompresses and propels the block forward.

Answered: Image /qna-images/answer/7273095d-3063-4319-b045-8822b73ea67f.jpg

Answered: In the first image, the diagram shows a…

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...