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What is the maximum velocity attained by the block as it moves up the ramp?

What is the maximum velocity attained by the block as it moves up the ramp?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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What is the maximum velocity attained by the block as it moves up the ramp?
Express your answer to three significant figures with appropriate units.
Learning Goal: To use the conservation of energy with nonconservative forces to determine the maximum height and velocity for a block moving on a ramp. The block shown in (Figure 1) slides on the ramp and is attached to the spring. At the starting point, the spring is not stretched or compressed and the block has a velocity up the ramp of v₁ = 4.6 m/s. A force F = 270 N is also applied to the block, parallel to the ramp. The coefficient of friction between the block and the ramp is μ = 0.15, the spring constant is k = 560 N/m, the mass of the block is m = 5 kg, and the angle of the ramp is 0 = 32 °. Use the conservation of energy T₁ + V₁ + (U₁-2) noncons = T₂ + V₂ to calculate the maximum height reached by the block and the maximum speed of the block. Figure ^ 1 of 1 i Part A Which of the forces applied to the block perform nonconservative work on the system? Check all that apply. ✔applied force weight of the block Ospring force ✔friction normal force Submit Correct Part B Previous Answers Calculate the initial kinetic energy of the block. Express your answer to three significant figures with appropriate units. T₁ = 52.9 J Submit Part C Previous Answers Correct Review Calculate the initial potential energy of the block, using the initial position as the datum for the gravitational potential energy.
Transcribed Image Text:Learning Goal: To use the conservation of energy with nonconservative forces to determine the maximum height and velocity for a block moving on a ramp. The block shown in (Figure 1) slides on the ramp and is attached to the spring. At the starting point, the spring is not stretched or compressed and the block has a velocity up the ramp of v₁ = 4.6 m/s. A force F = 270 N is also applied to the block, parallel to the ramp. The coefficient of friction between the block and the ramp is μ = 0.15, the spring constant is k = 560 N/m, the mass of the block is m = 5 kg, and the angle of the ramp is 0 = 32 °. Use the conservation of energy T₁ + V₁ + (U₁-2) noncons = T₂ + V₂ to calculate the maximum height reached by the block and the maximum speed of the block. Figure ^ 1 of 1 i Part A Which of the forces applied to the block perform nonconservative work on the system? Check all that apply. ✔applied force weight of the block Ospring force ✔friction normal force Submit Correct Part B Previous Answers Calculate the initial kinetic energy of the block. Express your answer to three significant figures with appropriate units. T₁ = 52.9 J Submit Part C Previous Answers Correct Review Calculate the initial potential energy of the block, using the initial position as the datum for the gravitational potential energy.
angle of the ramp is 0 = 32 °. Use the conservation of energy T₁ + V₁ + (U₁-2) noncons = T₂ + V₂ to calculate the maximum height reached by the block and the maximum speed of the block. Figure P mg FN Ffr 1 of 1 Since the nonconservative forces are constant and act parallel to the direction of motion, the work done by is a linear function of the position, (U1-2) nonconsFncs. Determine the value for Fnc- Express your answer to three significant figures with appropriate units. ► View Available Hint(s) Fnc = 264 N Submit Part E Previous Answers Correct What is the maximum distance up the ramp attained by the block? Express your answer to three significant figures with appropriate units. ► View Available Hint(s) Smax = 1.03 m Submit Part F Previous Answers Correct What is the maximum velocity attained by the block as it moves up the ramp? Copyright © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy. | Permissions | Contact Us
Transcribed Image Text:angle of the ramp is 0 = 32 °. Use the conservation of energy T₁ + V₁ + (U₁-2) noncons = T₂ + V₂ to calculate the maximum height reached by the block and the maximum speed of the block. Figure P mg FN Ffr 1 of 1 Since the nonconservative forces are constant and act parallel to the direction of motion, the work done by is a linear function of the position, (U1-2) nonconsFncs. Determine the value for Fnc- Express your answer to three significant figures with appropriate units. ► View Available Hint(s) Fnc = 264 N Submit Part E Previous Answers Correct What is the maximum distance up the ramp attained by the block? Express your answer to three significant figures with appropriate units. ► View Available Hint(s) Smax = 1.03 m Submit Part F Previous Answers Correct What is the maximum velocity attained by the block as it moves up the ramp? Copyright © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy. | Permissions | Contact Us
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