A 0.87-kg block is hung from and stretches a spring that is attached to the ceiling. A second block is attached to the first one, and the amount that the spring stretches from its unstretched length triples. What is the mass of the second block? A small ball is attached to one end of a spring that has an unstrained length of 0.247 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.06 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0127 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?

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A 0.87-kg block is hung from and stretches a spring that is attached to the ceiling. A second block is attached to the first one, and the amount that the spring stretches from its unstretched length triples. What is the mass of the second block?

A small ball is attached to one end of a spring that has an unstrained length of 0.247 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.06 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0127 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?

The problem states: "A 0.87-kg block is hung from and stretches a spring that is attached to the ceiling. A second block is attached to the first one, and the amount that the spring stretches from its unstretched length triples. What is the mass of the second block?"

### Diagram Description:
- The image presents a spring system setup with two blocks.
- Initially, a block of mass \( m_1 \) (0.87 kg) is hung from the spring, causing it to stretch by a distance \( x_1 \).
- This setup shows the spring in two states: one with only \( m_1 \) attached, and another with both \( m_1 \) and an additional block \( m_2 \) attached.
- The total stretch in the spring with both blocks attached is marked as \( x_2 \), which equals \( 3x_1 \).
- The spring is depicted with dashed lines to indicate the original (unstretched) length and the new stretched lengths.

### Additional Information:
- The box at the bottom of the image appears to be for user input, containing fields labeled "Number" and "Units," likely for calculating the mass \( m_2 \).
Transcribed Image Text:The problem states: "A 0.87-kg block is hung from and stretches a spring that is attached to the ceiling. A second block is attached to the first one, and the amount that the spring stretches from its unstretched length triples. What is the mass of the second block?" ### Diagram Description: - The image presents a spring system setup with two blocks. - Initially, a block of mass \( m_1 \) (0.87 kg) is hung from the spring, causing it to stretch by a distance \( x_1 \). - This setup shows the spring in two states: one with only \( m_1 \) attached, and another with both \( m_1 \) and an additional block \( m_2 \) attached. - The total stretch in the spring with both blocks attached is marked as \( x_2 \), which equals \( 3x_1 \). - The spring is depicted with dashed lines to indicate the original (unstretched) length and the new stretched lengths. ### Additional Information: - The box at the bottom of the image appears to be for user input, containing fields labeled "Number" and "Units," likely for calculating the mass \( m_2 \).
**Text:**

A small ball is attached to one end of a spring that has an unstrained length of 0.247 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.06 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0127 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?

**Input Fields:**

- **Number:** [Textbox for entering the numerical answer]
- **Units:** [Dropdown menu for selecting units]

(Note: There are no graphs or diagrams in this image.)
Transcribed Image Text:**Text:** A small ball is attached to one end of a spring that has an unstrained length of 0.247 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.06 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0127 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless? **Input Fields:** - **Number:** [Textbox for entering the numerical answer] - **Units:** [Dropdown menu for selecting units] (Note: There are no graphs or diagrams in this image.)
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