Two packing crates of masses m, = 10.0 kg and m, = 4.90 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 4.90-kg crate lies on a smooth incline of angle 37.0°. Find the following. m2 (a) the acceleration of the 4.90-kg crate m/s? (up the incline) (b) the tension in the string N.
Two packing crates of masses m, = 10.0 kg and m, = 4.90 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 4.90-kg crate lies on a smooth incline of angle 37.0°. Find the following. m2 (a) the acceleration of the 4.90-kg crate m/s? (up the incline) (b) the tension in the string N.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Problem Statement:**
Two packing crates of masses \( m_1 = 10.0 \, \text{kg} \) and \( m_2 = 4.90 \, \text{kg} \) are connected by a light string that passes over a frictionless pulley as shown in the figure. The 4.90-kg crate lies on a smooth incline of angle \( 37.0^\circ \). Find the following:
(a) The acceleration of the 4.90-kg crate:
\[ \underline{\phantom{m/s^2}}\; (\text{up the incline}) \]
(b) The tension in the string:
\[ \underline{\phantom{N}} \, N \]
**Diagram Explanation:**
The diagram illustrates two crates connected by a string passing over a frictionless pulley.
- Crate \( m_1 \) (10.0 kg) is hanging vertically.
- Crate \( m_2 \) (4.90 kg) is on an incline with a smooth surface, with an angle \( \theta = 37.0^\circ \) to the horizontal.
- The pulley facilitates the motion between the two crates, with the string oriented along the direction of the incline for crate \( m_2 \).
The objective is to determine the acceleration of the crate on the incline moving upwards and the tension in the string connecting the two crates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c0a33fd-0568-4a66-9e09-cb4c2724e152%2Fffa5fadc-852e-4449-adca-8193bee3c3c1%2Fca9gi7g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Two packing crates of masses \( m_1 = 10.0 \, \text{kg} \) and \( m_2 = 4.90 \, \text{kg} \) are connected by a light string that passes over a frictionless pulley as shown in the figure. The 4.90-kg crate lies on a smooth incline of angle \( 37.0^\circ \). Find the following:
(a) The acceleration of the 4.90-kg crate:
\[ \underline{\phantom{m/s^2}}\; (\text{up the incline}) \]
(b) The tension in the string:
\[ \underline{\phantom{N}} \, N \]
**Diagram Explanation:**
The diagram illustrates two crates connected by a string passing over a frictionless pulley.
- Crate \( m_1 \) (10.0 kg) is hanging vertically.
- Crate \( m_2 \) (4.90 kg) is on an incline with a smooth surface, with an angle \( \theta = 37.0^\circ \) to the horizontal.
- The pulley facilitates the motion between the two crates, with the string oriented along the direction of the incline for crate \( m_2 \).
The objective is to determine the acceleration of the crate on the incline moving upwards and the tension in the string connecting the two crates.
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