A 10 kg cart with a velocity of 2 m/s rolls towards a spring, compressing it...

 

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A 10 kg cart with a velocity of 2 m/s rolls towards a spring, compressing it as it comes to a stop. There is an increase of 10 J of Thermal Energy between the initial and final positions. The spring compresses by 0.5 m. COL 1. Draw a LOL diagram for the cart as it starts moving and after it compresses the spring, coming to a stop. Assume there is no Thermal Energy at the initial position. Initial 2. What is the cart's kinetic energy at the initial position? Given(s) Unknown (s) Equation(s) 3. Write a total energy equation for each step Cart is in motion Total Energy = Final 5. What is the spring constant of the spring? Given(s) Unknown (s) Equation(s) Explain: 4. What is the Spring Potential Energy of the cart at the final position? Substitution(s) C. d. Total Energy = Cart is stopped while compressing the spring Solution(s) Substitution(s) 6. Suppose there was a negligible amount of friction as the cart traveled and compressed the spring. Which of the following best describes how the situation would be different than the situation described in the original scenario? a. There would be more thermal energy at the final position b. There would be more spring potential energy at the final position There would be less spring potential energy at the final position There would be the same amount of spring potential energy at the final position Solution(s) A 10 kg cart with a velocity of 2 m/s rolls towards a spring, compressing it as it comes to a stop. There is an increase of 10 J of Thermal Energy between the initial and final positions. The spring compresses by 0.5 m. COL 1. Draw a LOL diagram for the cart as it starts moving and after it compresses the spring, coming to a stop. Assume there is no Thermal Energy at the initial position. Initial 2. What is the cart's kinetic energy at the initial position? Given(s) Unknown (s) Equation(s) 3. Write a total energy equation for each step Cart is in motion Total Energy = Final 5. What is the spring constant of the spring? Given(s) Unknown (s) Equation(s) Explain: 4. What is the Spring Potential Energy of the cart at the final position? Substitution(s) C. d. Total Energy = Cart is stopped while compressing the spring Solution(s) Substitution(s) 6. Suppose there was a negligible amount of friction as the cart traveled and compressed the spring. Which of the following best describes how the situation would be different than the situation described in the original scenario? a. There would be more thermal energy at the final position b. There would be more spring potential energy at the final position There would be less spring potential energy at the final position There would be the same amount of spring potential energy at the final position Solution(s)