A 5.00 x 105-kg subway train is brought to a stop from a speed of 0.600 m/s in 0.300 m by a large spring bumper at the end of its track. Neglect friction. Think & Prepare 1. Make note of what's given and what's unknown. Relate known quantities to symbols. 2. Draw a labeled sketch if possible. 3. Identify the physics principle and approach. Write down relevant equations symbolically. Simplify if possible. 4. Insert numerical quantities to solve for unknowns. 5. Does the answer make sense? Physics Principles (a) What external forces act on the train? Are they conservative or non-conservative? Normal force: Spring force: Weight: (b) Is mechanical energy conserved during the stopping of the train? Think about reasons for your answer. (c) What is the force constant k of the spring? Enter to 3 significant figures k= N/m Note: There are multiple ways to solve this problem. Method 1: Is the force constant over the stopping distance or varies with distance? Can you use the Work Energy Theorem? Mathod 2: If the mechanical energy is conserved, can you use the conservation of energy theorem?

A 5.00 x 105-kg subway train is brought to a stop from a speed of 0.600 m/s in 0.300 m by a large spring bumper at the end of its track. Neglect friction. Think & Prepare 1. Make note of what's given and what's unknown. Relate known quantities to symbols. 2. Draw a labeled sketch if possible. 3. Identify the physics principle and approach. Write down relevant equations symbolically. Simplify if possible. 4. Insert numerical quantities to solve for unknowns. 5. Does the answer make sense? Physics Principles (a) What external forces act on the train? Are they conservative or non-conservative? Normal force: Spring force: Weight: (b) Is mechanical energy conserved during the stopping of the train? Think about reasons for your answer. (c) What is the force constant k of the spring? Enter to 3 significant figures k= N/m Note: There are multiple ways to solve this problem. Method 1: Is the force constant over the stopping distance or varies with distance? Can you use the Work Energy Theorem? Mathod 2: If the mechanical energy is conserved, can you use the conservation of energy theorem?

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Description: • A 5.00×105-kg subway train is brought to a stop from a speed of 0.600 m/s in 0.300 m by a largespring bumper at the end of its track. Neglect friction.Think & Prepare1. Make note of what's given and what's unknown. Relate known quantities to symbo

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 87PQ: In 1898, the world land speed record was set by Gaston Chasseloup-Laubat driving a car named...

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