College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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### Physics Problem on Forces and Acceleration

A 40-kg crate is being lowered with a downward acceleration of \( 2.0 \, \text{m/s}^2 \) by means of a rope.

#### Questions:
**(a)** What is the magnitude of the force exerted by the rope on the crate? \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{N} \)

**(b)** What would be the magnitude of the force exerted by the rope if the crate were being raised with an acceleration of \( 2.0 \, \text{m/s}^2 \)? \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{N} \)

---

For educational purposes, explain that these problems are related to Newton's second law of motion, which states that \( F = ma \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration. 

To solve these problems, consider the gravitational force acting on the crate and the net force due to the acceleration. Discuss how to determine the tension in the rope by setting up the equations for both lowering and raising the crate scenarios.
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Transcribed Image Text:### Physics Problem on Forces and Acceleration A 40-kg crate is being lowered with a downward acceleration of \( 2.0 \, \text{m/s}^2 \) by means of a rope. #### Questions: **(a)** What is the magnitude of the force exerted by the rope on the crate? \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{N} \) **(b)** What would be the magnitude of the force exerted by the rope if the crate were being raised with an acceleration of \( 2.0 \, \text{m/s}^2 \)? \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{N} \) --- For educational purposes, explain that these problems are related to Newton's second law of motion, which states that \( F = ma \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration. To solve these problems, consider the gravitational force acting on the crate and the net force due to the acceleration. Discuss how to determine the tension in the rope by setting up the equations for both lowering and raising the crate scenarios.
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