**Physics Problem: Spring and Cart System****Description:**A cart with mass \( m = 0.2 \, \text{kg} \) sits on a frictionless horizontal track. The cart is attached to a spring which is fixed to the end of the track. The spring has a spring constant \( k = 5 \, \text{N/m} \).Initially, the cart starts at \( x = 0 \, \text{cm} \) where the spring is at its rest length. The cart is pulled to stretch the spring 10 cm beyond the rest length (\( x = 10 \, \text{cm} \)) and then released from rest. The spring pulls the cart back towards the original equilibrium position.**Diagram Explanation:**- The diagram shows two points: **Point 1:** - Spring relaxed at \( x = 0 \) - Cart at \( x_1 = 0.100 \, \text{m} \) - Velocity \( v_{1x} = 0 \) **Point 2:** - Cart at \( x_2 = 0.080 \, \text{m} \) - Velocity \( v_{2x} \) is not specifiedThe diagram demonstrates the system at two different points in time as the spring pulls the cart back toward equilibrium.**Questions:**a.) What was the energy of the system just before the cart is released (Point 1 picture)?b.) What is the speed of the cart at \( x = 8 \, \text{cm} \) (Point 2 picture)?c.) What is the speed of the cart when it passes through the equilibrium point (\( x = 0 \))?

Answered: Image /qna-images/answer/d571a8a1-9d91-45bb-a382-d32286c6fdb7.jpg

: k=5.00 N/m Point 1 Spring relaxed x=0 Point 2 V2x V₁x=0 X₁= 0.100 m ·X m=0.200 kg X₂=0.080 m ·X 5. A cart with mass m=0.2 kg sits on a frictionless horizontal track. The cart is attached to a spring which is fixed to the end of the track. The spring has spring constant k = 5 N/m. The cart starts at x=0 cm, where the spring is at the rest length. You pull on the cart, stretching the spring 10 cm beyond the rest length (x = 10 cm), then release the cart from rest. The spring pulls the cart back towards the original equilibrium position. a.) What was the energy of the system just before the cart is released (Point 1 picture)? b.) What is the speed of the cart at x = 8 cm (Point 2 picture)? c.) What is the speed of the cart when it passes through the equilibrium point (x=0)?

: k=5.00 N/m Point 1 Spring relaxed x=0 Point 2 V2x V₁x=0 X₁= 0.100 m ·X m=0.200 kg X₂=0.080 m ·X 5. A cart with mass m=0.2 kg sits on a frictionless horizontal track. The cart is attached to a spring which is fixed to the end of the track. The spring has spring constant k = 5 N/m. The cart starts at x=0 cm, where the spring is at the rest length. You pull on the cart, stretching the spring 10 cm beyond the rest length (x = 10 cm), then release the cart from rest. The spring pulls the cart back towards the original equilibrium position. a.) What was the energy of the system just before the cart is released (Point 1 picture)? b.) What is the speed of the cart at x = 8 cm (Point 2 picture)? c.) What is the speed of the cart when it passes through the equilibrium point (x=0)?

College Physics

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)...

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