College Physics
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Author: Raymond A. Serway, Chris Vuille
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Transcribed Image Text:**Physics Problem: Work Done on a Sliding Crate**
A crate of mass \( m_1 = 12.4 \, \text{kg} \) is pulled by a massless rope up a \( 36.9^\circ \) ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass \( m_2 = 16.3 \, \text{kg} \). The crates move \( 1.70 \, \text{m} \), starting from rest. If the frictional force on the sliding crate has a magnitude of \( 21.8 \, \text{N} \) and the tension in the rope is \( 121.5 \, \text{N} \), find the total work done on the sliding crate.
**Diagram Explanation:**
- The diagram illustrates a right-angled triangle where the ramp is inclined at an angle \(\theta = 36.9^\circ\).
- The crate with mass \( m_1 \) is positioned on the inclined surface of the ramp, attached to a rope.
- The rope runs over an ideal pulley positioned at the top of the ramp.
- A second crate with mass \( m_2 \) is hanging vertically on the other side of the pulley.
**Objective:**
Calculate the total work done on the sliding crate \( m_1 \). The result should be expressed in joules (J).
*The total work done on the sliding crate is \(\underline{\hspace{3cm}}\) J.*
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