Two packing crates of masses m₁ = 10.0 kg and m₂ = 7.30 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.30-kg crate lies on a smooth incline of angle 41.0°. Find the following. m₂ m₁ (a) the acceleration of the 7.30-kg crate 2.96 m/s² (up the incline) (b) the tension in the string 25.35 LCC

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**Physics Problem on Dynamics and Tension**

*Problem Statement:*
Two packing crates of masses \( m_1 = 10.0 \) kg and \( m_2 = 7.30 \) kg are connected by a light string that passes over a frictionless pulley as illustrated. The 7.30-kg crate lies on a smooth incline of angle \( \theta = 41.0^\circ \). Determine the following:

*Given:*
- \( m_1 = 10.0 \) kg
- \( m_2 = 7.30 \) kg
- Angle of incline, \( \theta = 41.0^\circ \)

*Diagram Description:*
The diagram shows two crates connected by a string over a pulley. Crate \( m_1 \) hangs vertically on one side of the pulley, while crate \( m_2 \) lies on an inclined plane at an angle of \( 41.0^\circ \). The string is indicated as light and the pulley as frictionless.

(a) **The acceleration of the 7.30-kg crate:**

**Calculated Answer:**
\( 2.96 \, \text{m/s}^2 \) (up the incline) ✔

(b) **The tension in the string:**

**Calculated Answer:**
\( 25.35 \, \text{N} \) ✖

*Note: There seems to be an error in calculating the tension in the string. Re-check the calculations.*
Transcribed Image Text:**Physics Problem on Dynamics and Tension** *Problem Statement:* Two packing crates of masses \( m_1 = 10.0 \) kg and \( m_2 = 7.30 \) kg are connected by a light string that passes over a frictionless pulley as illustrated. The 7.30-kg crate lies on a smooth incline of angle \( \theta = 41.0^\circ \). Determine the following: *Given:* - \( m_1 = 10.0 \) kg - \( m_2 = 7.30 \) kg - Angle of incline, \( \theta = 41.0^\circ \) *Diagram Description:* The diagram shows two crates connected by a string over a pulley. Crate \( m_1 \) hangs vertically on one side of the pulley, while crate \( m_2 \) lies on an inclined plane at an angle of \( 41.0^\circ \). The string is indicated as light and the pulley as frictionless. (a) **The acceleration of the 7.30-kg crate:** **Calculated Answer:** \( 2.96 \, \text{m/s}^2 \) (up the incline) ✔ (b) **The tension in the string:** **Calculated Answer:** \( 25.35 \, \text{N} \) ✖ *Note: There seems to be an error in calculating the tension in the string. Re-check the calculations.*
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