The table summarizes the known values for a completely elastic collision. Given the information, what is the mass of ball 2?

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The table summarizes the known values for a completely elastic collision. Given the information, what is the mass of ball 2?

Below is a table comparing two balls, Ball 1 and Ball 2, in terms of their mass and velocities during a particular motion study:

|                | **Ball 1** | **Ball 2** |
|----------------|------------|------------|
| **mass (kg)**           | 8.3        | ?          |
| **initial velocity (m/s)** | 3.0        | –4.0       |
| **final velocity (m/s)**   | –4.6       | 2.5        |

### Explanation

- **Mass**: Ball 1 has a mass of 8.3 kg. The mass of Ball 2 is unknown.
- **Initial Velocity**: Ball 1 starts with an initial velocity of 3.0 m/s. Ball 2 starts with an initial velocity of –4.0 m/s, indicating it was moving in the opposite direction.
- **Final Velocity**: After some interaction or motion, Ball 1 ends up with a final velocity of –4.6 m/s, while Ball 2 has a final velocity of 2.5 m/s.

This data can be used to study concepts such as momentum, impulse, and collision dynamics in physics.
Transcribed Image Text:Below is a table comparing two balls, Ball 1 and Ball 2, in terms of their mass and velocities during a particular motion study: | | **Ball 1** | **Ball 2** | |----------------|------------|------------| | **mass (kg)** | 8.3 | ? | | **initial velocity (m/s)** | 3.0 | –4.0 | | **final velocity (m/s)** | –4.6 | 2.5 | ### Explanation - **Mass**: Ball 1 has a mass of 8.3 kg. The mass of Ball 2 is unknown. - **Initial Velocity**: Ball 1 starts with an initial velocity of 3.0 m/s. Ball 2 starts with an initial velocity of –4.0 m/s, indicating it was moving in the opposite direction. - **Final Velocity**: After some interaction or motion, Ball 1 ends up with a final velocity of –4.6 m/s, while Ball 2 has a final velocity of 2.5 m/s. This data can be used to study concepts such as momentum, impulse, and collision dynamics in physics.
The image displays an input field for a mass value in a scientific or educational context. It is formatted as:

\[ m_2 = \boxed{\hspace{5cm}} \text{kg} \]

This notation indicates that the mass \( m_2 \) should be entered in the provided box, and the unit of measurement is kilograms (kg). The box is outlined to receive an input, typically numeric, for representing the weight or mass of an object in a physics problem or experiment.
Transcribed Image Text:The image displays an input field for a mass value in a scientific or educational context. It is formatted as: \[ m_2 = \boxed{\hspace{5cm}} \text{kg} \] This notation indicates that the mass \( m_2 \) should be entered in the provided box, and the unit of measurement is kilograms (kg). The box is outlined to receive an input, typically numeric, for representing the weight or mass of an object in a physics problem or experiment.
Expert Solution
Use the momentum conservation law

m1u1+m2u2=m1v1+m2v2

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