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3. Alicia, who has a mass of mA = 70 kg, works at recieving in a warehouse. A box of mass mg = 40 kg is being dropped from rest from the top of a frictionless ramp of height h = 3 m. She plans on catching the box when it reaches her. Starting where Alicia is standing, the coefficient of kinetic friction is #k = 0.8. MB = 40 kg h = 3m (a) Find the speed of the box just before it reaches Alicia. [Note: at this point, friction has not acted on the block at all.] (c) (b) Alicia catches the box successfully, and now they are both moving with the same speed (note: this is an inelastic collision). What is the speed of Alicia and the block just after she catches it? [Note: since it is immediately after she catches the block, friction still has not yet acted on Alicia or the block.] (d) mA = 70 kg (e) Hk = 0.8 (f) How far will Alicia and the box slide before coming to a rest? [Note: now friction is acting. How much thermal energy was generated from start to finish? How much thermal energy was generated by Alicia catching the box? How much thermal energy was generated by Alicia and the box sliding to a stop?

3. Alicia, who has a mass of mA = 70 kg, works at recieving in a warehouse. A box of mass mg = 40 kg is being dropped from rest from the top of a frictionless ramp of height h = 3 m. She plans on catching the box when it reaches her. Starting where Alicia is standing, the coefficient of kinetic friction is #k = 0.8. MB = 40 kg h = 3m (a) Find the speed of the box just before it reaches Alicia. [Note: at this point, friction has not acted on the block at all.] (c) (b) Alicia catches the box successfully, and now they are both moving with the same speed (note: this is an inelastic collision). What is the speed of Alicia and the block just after she catches it? [Note: since it is immediately after she catches the block, friction still has not yet acted on Alicia or the block.] (d) mA = 70 kg (e) Hk = 0.8 (f) How far will Alicia and the box slide before coming to a rest? [Note: now friction is acting. How much thermal energy was generated from start to finish? How much thermal energy was generated by Alicia catching the box? How much thermal energy was generated by Alicia and the box sliding to a stop?

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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**Physics Problem: Conservation of Energy and Friction** *Scenario:* Alicia, who has a mass of \( m_A = 70 \, \text{kg} \), works at receiving in a warehouse. A box of mass \( m_B = 40 \, \text{kg} \) is being dropped from rest from the top of a frictionless ramp of height \( h = 3 \, \text{m} \). She plans on catching the box when it reaches her. Starting where Alicia is standing, the coefficient of kinetic friction is \( \mu_k = 0.8 \). *Diagram Overview:* - The diagram depicts a ramp with height \( h = 3 \, \text{m} \) on the left side. At the top of this ramp, there's a box labeled with a mass \( m_B = 40 \, \text{kg} \). - Alicia, represented by a character, stands at the bottom of the ramp where the surface becomes horizontal and involves kinetic friction with \( \mu_k = 0.8 \). - The ramp itself is depicted as a smooth, curved path leading directly to the horizontal surface. *Questions:* (a) **Find the speed of the box just before it reaches Alicia.** *Note: At this point, friction has not acted on the block at all.* (b) **Alicia catches the box successfully, and now they are both moving with the same speed** (note: this is an inelastic collision). **What is the speed of Alicia and the block just after she catches it?** *Note: Since it is immediately after she catches the block, friction still has not yet acted on Alicia or the block.* (c) **How far will Alicia and the box slide before coming to a rest?** *Note: Now friction is acting.* (d) **How much thermal energy was generated from start to finish?** (e) **How much thermal energy was generated by Alicia catching the box?** (f) **How much thermal energy was generated by Alicia and the box sliding to a stop?** *Explanation of Concepts:* - **Conservation of Energy:** Use this principle to determine the speed of the box before it reaches Alicia since the ramp is frictionless. - **Inelastic Collision:** When Alicia catches the box, both move together with a common speed due to momentum conservation. - **Kinetic
Transcribed Image Text:**Physics Problem: Conservation of Energy and Friction** *Scenario:* Alicia, who has a mass of \( m_A = 70 \, \text{kg} \), works at receiving in a warehouse. A box of mass \( m_B = 40 \, \text{kg} \) is being dropped from rest from the top of a frictionless ramp of height \( h = 3 \, \text{m} \). She plans on catching the box when it reaches her. Starting where Alicia is standing, the coefficient of kinetic friction is \( \mu_k = 0.8 \). *Diagram Overview:* - The diagram depicts a ramp with height \( h = 3 \, \text{m} \) on the left side. At the top of this ramp, there's a box labeled with a mass \( m_B = 40 \, \text{kg} \). - Alicia, represented by a character, stands at the bottom of the ramp where the surface becomes horizontal and involves kinetic friction with \( \mu_k = 0.8 \). - The ramp itself is depicted as a smooth, curved path leading directly to the horizontal surface. *Questions:* (a) **Find the speed of the box just before it reaches Alicia.** *Note: At this point, friction has not acted on the block at all.* (b) **Alicia catches the box successfully, and now they are both moving with the same speed** (note: this is an inelastic collision). **What is the speed of Alicia and the block just after she catches it?** *Note: Since it is immediately after she catches the block, friction still has not yet acted on Alicia or the block.* (c) **How far will Alicia and the box slide before coming to a rest?** *Note: Now friction is acting.* (d) **How much thermal energy was generated from start to finish?** (e) **How much thermal energy was generated by Alicia catching the box?** (f) **How much thermal energy was generated by Alicia and the box sliding to a stop?** *Explanation of Concepts:* - **Conservation of Energy:** Use this principle to determine the speed of the box before it reaches Alicia since the ramp is frictionless. - **Inelastic Collision:** When Alicia catches the box, both move together with a common speed due to momentum conservation. - **Kinetic
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