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
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
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
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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.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5d0ed69-4925-4403-a796-f6681910a505%2F4c5256f1-077a-4865-8ccf-94dfdf7935fd%2F87bn40j_processed.png&w=3840&q=75)
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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