An Atwood's machine with a frictionless pulley has mass1 5.9 kg and is accelerating up at 3 m/s2. What the value of mass2?

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**Problem Statement:**

An Atwood's machine with a frictionless pulley has mass1 = 5.9 kg and is accelerating up at 3 m/s². What is the value of mass2?

**Solution Explanation:**

In an Atwood's machine, two masses are connected over a pulley, and the difference in their weights causes them to accelerate. Since the pulley is frictionless, we can use Newton's second law to solve for the unknown mass.

Given:
- Mass1 (m1) = 5.9 kg
- Acceleration (a) = 3 m/s²

To find mass2 (m2), we use the equation of motion for Atwood's machine:

\[ (m2 - m1) \times g = (m1 + m2) \times a \]

Where:
- \( g \) is the acceleration due to gravity (approximately 9.8 m/s²).

By rearranging and solving this equation for m2, you can find the value of the second mass.
Transcribed Image Text:**Problem Statement:** An Atwood's machine with a frictionless pulley has mass1 = 5.9 kg and is accelerating up at 3 m/s². What is the value of mass2? **Solution Explanation:** In an Atwood's machine, two masses are connected over a pulley, and the difference in their weights causes them to accelerate. Since the pulley is frictionless, we can use Newton's second law to solve for the unknown mass. Given: - Mass1 (m1) = 5.9 kg - Acceleration (a) = 3 m/s² To find mass2 (m2), we use the equation of motion for Atwood's machine: \[ (m2 - m1) \times g = (m1 + m2) \times a \] Where: - \( g \) is the acceleration due to gravity (approximately 9.8 m/s²). By rearranging and solving this equation for m2, you can find the value of the second mass.
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