Two objects (m₁ = 5.25 kg and m₂ = 3.25 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 5.25-kg object is released from rest at a point h = 4.00 m above the table. mq m₁ (a) Determine the speed of each object when the two pass each other. m/s (b) Determine the speed of each object at the moment the 5.25-kg object hits the table. m/s (c) How much higher does the 3.25-kg object travel after the 5.25-kg object hits the table? m

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**Pulley System Problem**

Two objects (\(m_1 = 5.25 \, \text{kg}\) and \(m_2 = 3.25 \, \text{kg}\)) are connected by a light string passing over a light, frictionless pulley as shown in the figure below. The \(5.25\, \text{kg}\) object is released from rest at a point \(h = 4.00 \, \text{m}\) above the table.

**Diagram Explanation:**
- The diagram shows a pulley system with two masses. 
- \(m_1\) (5.25 kg) is hanging freely and \(m_2\) (3.25 kg) is on a table connected by a string over the pulley.
- The height \(h\) from which \(m_1\) is released is 4.00 meters above the table.

**Questions to Solve:**

(a) Determine the speed of each object when the two pass each other.  
\[ \text{Speed} = \_\_\_\_ \, \text{m/s} \]

(b) Determine the speed of each object at the moment the \(5.25\, \text{kg}\) object hits the table.  
\[ \text{Speed} = \_\_\_\_ \, \text{m/s} \]

(c) How much higher does the \(3.25\, \text{kg}\) object travel after the \(5.25\, \text{kg}\) object hits the table?  
\[ \text{Height} = \_\_\_\_ \, \text{m} \]
Transcribed Image Text:**Pulley System Problem** Two objects (\(m_1 = 5.25 \, \text{kg}\) and \(m_2 = 3.25 \, \text{kg}\)) are connected by a light string passing over a light, frictionless pulley as shown in the figure below. The \(5.25\, \text{kg}\) object is released from rest at a point \(h = 4.00 \, \text{m}\) above the table. **Diagram Explanation:** - The diagram shows a pulley system with two masses. - \(m_1\) (5.25 kg) is hanging freely and \(m_2\) (3.25 kg) is on a table connected by a string over the pulley. - The height \(h\) from which \(m_1\) is released is 4.00 meters above the table. **Questions to Solve:** (a) Determine the speed of each object when the two pass each other. \[ \text{Speed} = \_\_\_\_ \, \text{m/s} \] (b) Determine the speed of each object at the moment the \(5.25\, \text{kg}\) object hits the table. \[ \text{Speed} = \_\_\_\_ \, \text{m/s} \] (c) How much higher does the \(3.25\, \text{kg}\) object travel after the \(5.25\, \text{kg}\) object hits the table? \[ \text{Height} = \_\_\_\_ \, \text{m} \]
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