**Text Transcription:**The figure below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision, the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the velocity of the carts joined together after the collision. Determine the ratio of the carts' masses m1/m2.**Graph Explanation:**The graph is a velocity (v) versus time (t) diagram depicting the motion of two carts before and after a collision.- **Green Line (v₁ₓ):** Represents the constant velocity of cart 1 before the collision. It's a horizontal line indicating a constant velocity (v₁ₓ) at a higher value on the vertical axis (vₓ). - **Blue Line (v₂ₓ):** Represents the constant velocity of cart 2 before the collision. It is also a horizontal line, but at a lower velocity value (v₂ₓ) compared to cart 1.- **Black Line:** Represents the velocity of the two carts after they stick together post-collision. It is a horizontal line at a value between the initial velocities v₁ₓ and v₂ₓ, indicating constant velocity after the collision.- **t_collision:** The point on the time axis where the collision occurs, after which the black line takes over, indicating the new velocity of the combined mass of the carts.The goal is to determine the ratio of the masses of the two carts (m1/m2) using the given velocities in the graph.

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The figure below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the velocity of the carts joined together after the collision. Determine the ratio of the carts' masses ml/m2.

The figure below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the velocity of the carts joined together after the collision. Determine the ratio of the carts' masses ml/m2.

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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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

**Text Transcription:**

The figure below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision, the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the velocity of the carts joined together after the collision. Determine the ratio of the carts' masses m1/m2.

**Graph Explanation:**

The graph is a velocity (v) versus time (t) diagram depicting the motion of two carts before and after a collision.

- **Green Line (v₁ₓ):** Represents the constant velocity of cart 1 before the collision. It's a horizontal line indicating a constant velocity (v₁ₓ) at a higher value on the vertical axis (vₓ).

- **Blue Line (v₂ₓ):** Represents the constant velocity of cart 2 before the collision. It is also a horizontal line, but at a lower velocity value (v₂ₓ) compared to cart 1.

- **Black Line:** Represents the velocity of the two carts after they stick together post-collision. It is a horizontal line at a value between the initial velocities v₁ₓ and v₂ₓ, indicating constant velocity after the collision.

- **t_collision:** The point on the time axis where the collision occurs, after which the black line takes over, indicating the new velocity of the combined mass of the carts.

The goal is to determine the ratio of the masses of the two carts (m1/m2) using the given velocities in the graph.

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