# Solving Basic Physics Problems

1) If you do 100 J of work to elevate a bucket of water, what is its gravitational energy relative to its starting position?

2) Suppose two blocks of ice are heading towards each other. Block A has a mass of 4.24 kg and is traveling at 2.24 m/s. Block B has a mass of 4.42 kg and is traveling at 2.24 m/s in the opposite direction. After the collision, they are traveling in the same direction and at the same speed. What is the speed they are traveling at?

3) An object has a mass of 8.14 kg and is moving at 5.11 m/s. How much kinetic energy does it have?

4) Two cars have a head-on collision. Both were traveling at 42 m/s toward each other. Car A has a mass of 558 kg. Car B has a mass of 868 kg. After impact, car A is moving backward at 3 m/s. What is car B's velocity after impact?

5) Mrs. Jacobs drops an object from 10 meters. She knows it did 47 Joules of work. What was the mass of the object?

6) Which requires more work? Lifting a 10 kg load a vertical distance of 2 meters or lifting a 5 kg load a distance of 4 meters?

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#### Solution Summary

The solution assists with answering basic physics problems.

LP Model/Surplus & Artificial Variables/Integer

1. What are the assumptions and requirements for an LP model to be formulated and used? Under what conditions will an LP problem: be unbounded? be infeasible? have more than one optimal solution?

2. The administrator of a large hospital made the state, "I would like to use LP, but it's a technique that operates under conditions of certainty. This hospital doesn't have certainty - so LP can't be used here. "Do you think this statement has any merit? Explain why the administrator might have said it.

3. What is the reason behind the use of the minimum ratio test in selecting the pivot row? What might happen without it? Explain your rationale.

4. Define slack, surplus, and artificial variables and explain why they are used. What does it mean if an artificial variable is in the final optimal solution? What should you do if an artificial variable is in the final optimal solution?

5. Describe the steps of the assignment method.

6. What is the difference between the three types of integer programming problems? Which do you think is most important, and why?

7. Summarize the purpose and process of goal programming. What are the chief consideration s in goal programming?

8. Is it possible to get alternate optimal solutions with the shortest-route technique? Is there an automatic way of knowing if you have an alternate optimal solution?

9. Discuss what is meant by critical path analysis. What are critical path activities, and why are they important?

10. Why is a computer necessary in conducting a real-world simulation? Explain your answer using examples.

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