**Physics Problem: Conservation of Energy**3. A 3 kg object has a velocity \(\vec{v} = (3\hat{i} + 2\hat{j} - \hat{k}) \, \text{m/s}\) at point A where its potential energy is 10 Joules. At point B, its potential energy is 15 Joules. Assume no non-conservative forces.a. What is the object's kinetic energy at point A?b. What is the object's speed at point B?**Explanation:**This problem involves calculating kinetic energy and speed using energy conservation principles. The velocity vector is given at point A, along with the potential energy at both points A and B. The question requires using these values to find the kinetic energy at point A and determine the speed at point B when potential energy changes.

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A 3 kg object has a velocity i = (3î + 2j - R) m/s at point A where its potential energy is 10 Joules. At point B, its potential energy is 15 Joules. Assume no non-conservative forces. a. What is the object's kinetic energy at point A? b. What is the object's speed at point B?

A 3 kg object has a velocity i = (3î + 2j - R) m/s at point A where its potential energy is 10 Joules. At point B, its potential energy is 15 Joules. Assume no non-conservative forces. a. What is the object's kinetic energy at point A? b. What is the object's speed at point B?

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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Question

**Physics Problem: Conservation of Energy**

3. A 3 kg object has a velocity \(\vec{v} = (3\hat{i} + 2\hat{j} - \hat{k}) \, \text{m/s}\) at point A where its potential energy is 10 Joules. At point B, its potential energy is 15 Joules. Assume no non-conservative forces.

a. What is the object's kinetic energy at point A?

b. What is the object's speed at point B?

**Explanation:**

This problem involves calculating kinetic energy and speed using energy conservation principles. The velocity vector is given at point A, along with the potential energy at both points A and B. The question requires using these values to find the kinetic energy at point A and determine the speed at point B when potential energy changes.

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