An object with mass m, = 5.00 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m, = 10.0 kg, shown in Figure P4.30. Find the acceleration of each object and the tension in the cable. mass m, m/s? mass m, m/s2 tenslon Figure P4.30

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Chapter1: Units, Trigonometry. And Vectors
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**Text Transcription:**

An object with mass \( m_1 = 5.00 \, \text{kg} \), rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass \( m_2 = 10.0 \, \text{kg} \), as shown in Figure P4.30. Find the acceleration of each object and the tension in the cable.

- Mass \( m_1 \) : ___ m/s²
- Mass \( m_2 \) : ___ m/s²
- Tension : ___ N

**Image Description:**

The diagram in Figure P4.30 illustrates a setup involving two masses connected by a cable over a pulley. Mass \( m_1 \) is placed on a horizontal table, shown as a blue block. The table is depicted as frictionless. The cable extends over a pulley, which is located at the edge of the table, and connects to \( m_2 \), shown as a hanging orange block. This setup is used to analyze the forces and acceleration involved due to gravity acting on \( m_2 \).
Transcribed Image Text:**Text Transcription:** An object with mass \( m_1 = 5.00 \, \text{kg} \), rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass \( m_2 = 10.0 \, \text{kg} \), as shown in Figure P4.30. Find the acceleration of each object and the tension in the cable. - Mass \( m_1 \) : ___ m/s² - Mass \( m_2 \) : ___ m/s² - Tension : ___ N **Image Description:** The diagram in Figure P4.30 illustrates a setup involving two masses connected by a cable over a pulley. Mass \( m_1 \) is placed on a horizontal table, shown as a blue block. The table is depicted as frictionless. The cable extends over a pulley, which is located at the edge of the table, and connects to \( m_2 \), shown as a hanging orange block. This setup is used to analyze the forces and acceleration involved due to gravity acting on \( m_2 \).
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