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(9%) Problem 5: A block of mass m= 0.37 kg is set against a spring with a spring constant of k1 = 591 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k = 139 N/m. ©theexpertta.com D * 33% Part (a) How far, d, in meters, will the second spring compress when the block runs into it? Grade Summary d = 1.38| Deductions 0% Potential 100% sin() cos() tan() 7 8 9 НОМE Submissions Attempts remaining: 9 (0% per attempt) cotan() asin() acos() E 1^ 4 5 6. atan() acotan() sinh() 1 3 detailed view cosh() tanh() cotanh() END 1 0% - O Degrees O Radians VOL BACKSPАСЕ DEL CLEAR Submit Hint Feedback I give up! Hints: 5% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. 33% Part (b) How fast, v in meters per second, will the block be moving when it strikes the second spring? A 33% Part (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe that the second spring only compresses a distance dz/2. How much energy, in joules, was lost to friction? A11 content e2021 Eveect TTA IIC

(9%) Problem 5: A block of mass m= 0.37 kg is set against a spring with a spring constant of k1 = 591 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k = 139 N/m. ©theexpertta.com D * 33% Part (a) How far, d, in meters, will the second spring compress when the block runs into it? Grade Summary d = 1.38| Deductions 0% Potential 100% sin() cos() tan() 7 8 9 НОМE Submissions Attempts remaining: 9 (0% per attempt) cotan() asin() acos() E 1^ 4 5 6. atan() acotan() sinh() 1 3 detailed view cosh() tanh() cotanh() END 1 0% - O Degrees O Radians VOL BACKSPАСЕ DEL CLEAR Submit Hint Feedback I give up! Hints: 5% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. 33% Part (b) How fast, v in meters per second, will the block be moving when it strikes the second spring? A 33% Part (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe that the second spring only compresses a distance dz/2. How much energy, in joules, was lost to friction? A11 content e2021 Eveect TTA IIC

College Physics
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 5:** A block of mass \( m = 0.37 \, \text{kg} \) is set against a spring with a spring constant of \( k_1 = 591 \, \text{N/m} \) which has been compressed by a distance of \( 0.1 \, \text{m} \). Some distance in front of it, along a frictionless surface, is another spring with a spring constant of \( k_2 = 139 \, \text{N/m} \). **Diagram Description:** There is a visual representation of a block labeled "m" situated on a horizontal surface. It is depicted between two springs attached to opposite walls. The left spring is compressed, exerting a force on the block, while the right spring is uncompressed. **Questions:** - **Part (a):** How far, \( d_2 \) in meters, will the second spring compress when the block runs into it? - Answer: \( d_2 = 1.38 \) **Additional Parts:** - **Part (b):** How fast, \( v \) in meters per second, will the block be moving when it strikes the second spring? - **Part (c):** Now assume that the surface is rough (not frictionless). You perform the experiment and observe that the second spring only compresses a distance \( d_2/2 \). How much energy, in joules, was lost to friction? **Controls:** There is a mathematical interface with functions such as \(\sin\), \(\cos\), \(\tan\), and others, along with numerical and operational buttons. **Grade Summary:** - Deductions: 0% - Potential: 100% - Submissions: Attempts remaining: 9 (0% per attempt) **Hints:** - 5% deduction per hint. Hints remaining: 1 **Feedback:** - 5% deduction per feedback. This problem encourages application of physics concepts such as spring force, energy conservation, and system dynamics on frictionless and rough surfaces.
Transcribed Image Text:**Problem 5:** A block of mass \( m = 0.37 \, \text{kg} \) is set against a spring with a spring constant of \( k_1 = 591 \, \text{N/m} \) which has been compressed by a distance of \( 0.1 \, \text{m} \). Some distance in front of it, along a frictionless surface, is another spring with a spring constant of \( k_2 = 139 \, \text{N/m} \). **Diagram Description:** There is a visual representation of a block labeled "m" situated on a horizontal surface. It is depicted between two springs attached to opposite walls. The left spring is compressed, exerting a force on the block, while the right spring is uncompressed. **Questions:** - **Part (a):** How far, \( d_2 \) in meters, will the second spring compress when the block runs into it? - Answer: \( d_2 = 1.38 \) **Additional Parts:** - **Part (b):** How fast, \( v \) in meters per second, will the block be moving when it strikes the second spring? - **Part (c):** Now assume that the surface is rough (not frictionless). You perform the experiment and observe that the second spring only compresses a distance \( d_2/2 \). How much energy, in joules, was lost to friction? **Controls:** There is a mathematical interface with functions such as \(\sin\), \(\cos\), \(\tan\), and others, along with numerical and operational buttons. **Grade Summary:** - Deductions: 0% - Potential: 100% - Submissions: Attempts remaining: 9 (0% per attempt) **Hints:** - 5% deduction per hint. Hints remaining: 1 **Feedback:** - 5% deduction per feedback. This problem encourages application of physics concepts such as spring force, energy conservation, and system dynamics on frictionless and rough surfaces.
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