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The situation for this problem is as explained in question 4. Block E is moving up and to the left (and Block D is moving down). The mass of Block D is 3.2 kg. The mass of Block E is 2.4 kg. The coefficient of kinetic friction between Block E and the plane is 0.5. The inclined plane is inclined at an angle of θ = 32 degrees above horizontal. Calculate the tension in the string (in units of newtons). Question 7 This question is the same as question 5 with the exceptions that The numbers have changed, and Block E is moving down and to the right (this refers to velocity) Block E is moving down and to the right (and Block D is moving up). The mass of Block D is 2.9 kg. The mass of Block E is 3.9 kg. The coefficient of kinetic friction between Block E and the plane is 0.41. The inclined plane is inclined at an angle of θ = 31 degrees above horizontal. Calculate the acceleration of Block E (in units of meters per second squared). For the purpose of this question, the acceleration is positive it points up and to the left (it is negative if it points down and to the right).

The situation for this problem is as explained in question 4. Block E is moving up and to the left (and Block D is moving down). The mass of Block D is 3.2 kg. The mass of Block E is 2.4 kg. The coefficient of kinetic friction between Block E and the plane is 0.5. The inclined plane is inclined at an angle of θ = 32 degrees above horizontal. Calculate the tension in the string (in units of newtons). Question 7 This question is the same as question 5 with the exceptions that The numbers have changed, and Block E is moving down and to the right (this refers to velocity) Block E is moving down and to the right (and Block D is moving up). The mass of Block D is 2.9 kg. The mass of Block E is 3.9 kg. The coefficient of kinetic friction between Block E and the plane is 0.41. The inclined plane is inclined at an angle of θ = 31 degrees above horizontal. Calculate the acceleration of Block E (in units of meters per second squared). For the purpose of this question, the acceleration is positive it points up and to the left (it is negative if it points down and to the right).

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THIS IS A 4 PART PROBLEM THE QUESTION IN THE IMAGE IS ALREADY BEING WORKED ON AND QUESTION 5 IS ALSO BEING WORKED ON. CAN YOU PLEASE ANSWER QUESTION 6, 7.

Question 5

The situation for this problem is as explained in question 4.

Block E is moving up and to the left (and Block D is moving down).

The mass of Block D is 3.8 kg.

The mass of Block E is 2.9 kg.

The coefficient of kinetic friction between Block E and the plane is 0.42.

The inclined plane is inclined at an angle of θ = 24 degrees above horizontal.

Calculate the acceleration of Block E (in units of meters per second squared). For the purpose of this question, the acceleration is positive it points up and to the left (it is negative if it points down and to the right).

Question 6

The situation for this problem is as explained in question 4.

Block E is moving up and to the left (and Block D is moving down).

The mass of Block D is 3.2 kg.

The mass of Block E is 2.4 kg.

The coefficient of kinetic friction between Block E and the plane is 0.5.

The inclined plane is inclined at an angle of θ = 32 degrees above horizontal.

Calculate the tension in the string (in units of newtons).

Question 7

This question is the same as question 5 with the exceptions that

  • The numbers have changed, and
  • Block E is moving down and to the right (this refers to velocity)

Block E is moving down and to the right (and Block D is moving up).

The mass of Block D is 2.9 kg.

The mass of Block E is 3.9 kg.

The coefficient of kinetic friction between Block E and the plane is 0.41.

The inclined plane is inclined at an angle of θ = 31 degrees above horizontal.

Calculate the acceleration of Block E (in units of meters per second squared). For the purpose of this question, the acceleration is positive it points up and to the left (it is negative if it points down and to the right).

 

### Description of Diagram: The diagram above shows two blocks connected by one string: - **Block D** (yellow) hangs vertically from a string. - **Block E** (green) rests on an inclined plane and is connected to Block D via a string that runs over a pulley. - The inclined plane is elevated at an angle \( \theta \) from the horizontal, depicted with a dashed line marked with \( \theta \). - The pulley is frictionless and massless, and the string is assumed to be massless. - There is significant kinetic friction acting on Block E as it slides along the inclined plane, with a coefficient of kinetic friction \( \mu_K \). ### Problem Statement: This setup involves: 1. **Block D** with mass \( m_D \), which hangs from the pulley. 2. **Block E** with mass \( m_E \), which slides on the inclined plane. Your task is to create and submit scratch work that will aid in solving the following: - Draw appropriate diagrams and write equations to determine the acceleration of Block E and the tension in the string. Your solution should be: - Neatly organized and clear enough for someone else to read and follow. You might use this work to answer three subsequent questions related to this scenario. Engaging with these solutions can enhance your understanding of fundamental physics concepts such as forces, friction, and motion on inclined planes.
Transcribed Image Text:### Description of Diagram: The diagram above shows two blocks connected by one string: - **Block D** (yellow) hangs vertically from a string. - **Block E** (green) rests on an inclined plane and is connected to Block D via a string that runs over a pulley. - The inclined plane is elevated at an angle \( \theta \) from the horizontal, depicted with a dashed line marked with \( \theta \). - The pulley is frictionless and massless, and the string is assumed to be massless. - There is significant kinetic friction acting on Block E as it slides along the inclined plane, with a coefficient of kinetic friction \( \mu_K \). ### Problem Statement: This setup involves: 1. **Block D** with mass \( m_D \), which hangs from the pulley. 2. **Block E** with mass \( m_E \), which slides on the inclined plane. Your task is to create and submit scratch work that will aid in solving the following: - Draw appropriate diagrams and write equations to determine the acceleration of Block E and the tension in the string. Your solution should be: - Neatly organized and clear enough for someone else to read and follow. You might use this work to answer three subsequent questions related to this scenario. Engaging with these solutions can enhance your understanding of fundamental physics concepts such as forces, friction, and motion on inclined planes.
You will probably want to use your work for this question to answer the next THREE questions. You may answer them first if you want. - You need to know that for the purpose of **this question** and questions 5 and 6, block E is moving up and to the left (that is the direction of its velocity). In question 7 block E will be moving (again, that refers to velocity) down and to the right, but do your work for this question as though it is moving up and to the left. - You might also want to know that for the purposes of the next 3 questions, the acceleration of Block E is positive it points up and to the left (it is negative if it points down and to the right). **DO NOT USE NUMBERS IN YOUR SOLUTION TO THIS QUESTION.** Your answers to the next three questions will be numerical answers which will require you to plug numbers into the work you do for this question, but the scratch paper you submit for this equations should include only symbols.
Transcribed Image Text:You will probably want to use your work for this question to answer the next THREE questions. You may answer them first if you want. - You need to know that for the purpose of **this question** and questions 5 and 6, block E is moving up and to the left (that is the direction of its velocity). In question 7 block E will be moving (again, that refers to velocity) down and to the right, but do your work for this question as though it is moving up and to the left. - You might also want to know that for the purposes of the next 3 questions, the acceleration of Block E is positive it points up and to the left (it is negative if it points down and to the right). **DO NOT USE NUMBERS IN YOUR SOLUTION TO THIS QUESTION.** Your answers to the next three questions will be numerical answers which will require you to plug numbers into the work you do for this question, but the scratch paper you submit for this equations should include only symbols.
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