College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Two objects with masses of m1 = 3.70 kg and m2 = 5.70 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. Answer parts a-c.
![### Physics Problem on Tension, Acceleration, and Distance
#### Diagram Explanation
The diagram shows a pulley system consisting of two masses connected by a string over a frictionless pulley. One mass \( m_1 \) is on the left side, hanging vertically, while the other mass \( m_2 \) is on the right side, also hanging vertically.
#### Problems and Solutions
**(a)** Determine the tension in the string. (Enter the magnitude only. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{N} \]
**(b)** Determine the acceleration of each object. (Enter the magnitude only.)
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{m/s}^2 \]
**(c)** Determine the distance each object will move in the first second of motion if both objects start from rest.
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{m} \]
#### Explanation:
- **Tension in the String**: To find the tension, consider the forces acting on each mass and apply Newton's second law of motion.
- **Acceleration of Each Object**: Use the combined system's equations to solve for acceleration, considering the net force acting on the system.
- **Distance Moved in the First Second**: Using the kinematic equations of motion, calculate the distance based on the acceleration and initial rest condition of the objects.
Ensure all calculations consider the values accurately and avoid rounding intermediate steps to maintain precision.](https://content.bartleby.com/qna-images/question/86fc9270-ad68-4ba8-8b0d-981a01802a8a/e3f6e019-cbe0-4ee5-bc03-82a352f87d93/w4w3e4o_processed.png)
Transcribed Image Text:### Physics Problem on Tension, Acceleration, and Distance
#### Diagram Explanation
The diagram shows a pulley system consisting of two masses connected by a string over a frictionless pulley. One mass \( m_1 \) is on the left side, hanging vertically, while the other mass \( m_2 \) is on the right side, also hanging vertically.
#### Problems and Solutions
**(a)** Determine the tension in the string. (Enter the magnitude only. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{N} \]
**(b)** Determine the acceleration of each object. (Enter the magnitude only.)
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{m/s}^2 \]
**(c)** Determine the distance each object will move in the first second of motion if both objects start from rest.
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{m} \]
#### Explanation:
- **Tension in the String**: To find the tension, consider the forces acting on each mass and apply Newton's second law of motion.
- **Acceleration of Each Object**: Use the combined system's equations to solve for acceleration, considering the net force acting on the system.
- **Distance Moved in the First Second**: Using the kinematic equations of motion, calculate the distance based on the acceleration and initial rest condition of the objects.
Ensure all calculations consider the values accurately and avoid rounding intermediate steps to maintain precision.
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- (a) A block of mass m = 3.10 kg is suspended as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? Spring Scale m (b) Two blocks each of mass m = 3.10 kg are connected as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? Spring Scale (c) A block of mass m = 3.10 kg is in equilibrium on an incline plane of angle e = 34.0° when connected as shown in the diagram below. Assume the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? Spring Scale marrow_forwardThree boxes of the same mass are arranged as shown using frictionless pulleys and massless string. The coefficient of kinetic friction between the tables and the boxes is µk = 0.6 and the pictured angles, θ, are identical. For an instant, the masses are moving with constant velocity. At this instant, what is the angle of the string, θ?arrow_forward
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