4.1: Suppose you have two carts, A and B. Both are made of the same material, and B is more massive (heavier) than A. There is a string connecting carts A and B. With your hand, you pull cart A to the left. Both carts speed up as you pull them. This system is pictured below. (mɛ > ma) PULL B 4.1.1: First, consider the case where there is no friction between the table and the cart A. Draw two separate free body diagrams – one for cart A and one for cart B. Label the forces in the form "FB-on-A", for example, if the force is exerted by object B and felt by object A. 4.1.2: Now consider the third-law pairs of each force in the free-body diagrams you drew. Make a table with each force in one column and write its third-law pair in the neighboring column. Which should be the greater force: FB-on-A or FA-on-B?

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Suppose you have two carts, A and B. Both are made of the same material, and B is more massive (heavier) than A. There is a string connecting carts A and B. With your hand, you pull cart A to the left. Both carts speed up as you pull them. This system is pictured below.

    a.First, consider the case where there is no friction between the table and the cart A. Draw two separate free body diagrams – one for cart A and one for cart B. Label the forces in the form “FB-on-A”, for example, if the force is exerted by object B and felt by object A.

    b.Now consider the third-law pairs of each force in the free-body diagrams you drew. Make a table with each force in one column and write its third-law pair in the neighboring column. Which should be the greater force: FB-on-A or FA-on-B?

### Physics: Interaction of Two Carts

**Scenario:**

4.1: You have two carts, A and B. Both are constructed from the same material; however, cart B is heavier than cart A. A string connects these carts. When you pull cart A to the left with your hand, both carts accelerate. This setup is depicted in the diagram below.

**Diagram Explanation:**

- There are two carts, labeled A and B.
- Cart A is being pulled towards the left by a force labeled \( F_{\text{PULL}} \).
- Cart B is connected to A via a string. The diagram indicates that the mass of cart B (\( m_B \)) is greater than that of cart A (\( m_A \)).

4.1.1: First, examine the scenario where there's no friction between the table and cart A. Draw free body diagrams for both carts. Label forces, such as \( F_{\text{B-on-A}} \) for forces exerted by object B and experienced by object A.

4.1.2: Consider Newton’s third law pairs in the free body diagrams. Create a table listing each force, pairing it with its third-law counterpart. Determine which force is greater: \( F_{\text{B-on-A}} \) or \( F_{\text{A-on-B}} \).
Transcribed Image Text:### Physics: Interaction of Two Carts **Scenario:** 4.1: You have two carts, A and B. Both are constructed from the same material; however, cart B is heavier than cart A. A string connects these carts. When you pull cart A to the left with your hand, both carts accelerate. This setup is depicted in the diagram below. **Diagram Explanation:** - There are two carts, labeled A and B. - Cart A is being pulled towards the left by a force labeled \( F_{\text{PULL}} \). - Cart B is connected to A via a string. The diagram indicates that the mass of cart B (\( m_B \)) is greater than that of cart A (\( m_A \)). 4.1.1: First, examine the scenario where there's no friction between the table and cart A. Draw free body diagrams for both carts. Label forces, such as \( F_{\text{B-on-A}} \) for forces exerted by object B and experienced by object A. 4.1.2: Consider Newton’s third law pairs in the free body diagrams. Create a table listing each force, pairing it with its third-law counterpart. Determine which force is greater: \( F_{\text{B-on-A}} \) or \( F_{\text{A-on-B}} \).
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