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Final Exam Physics 114 – Fall 2019 Calculations and Questions (5 points per section)

1. What is the volume of a 10.0 kg bar of gold?

2. The current price of gold is $47.52 for a gram or $1,477.90 per oz. What is the current price of the bar of gold in problem 1?

3. What is the volume of a 0.50 kg of silver?

4. If a human body has a total surface area of 1.8 m3, what is the total force on the body due to the atmosphere at sea level (1.01 x 105 Pa)?

5. At the top of the mesosphere the atmospheric pressure is 0.0005 mbar. What is this pressure in Pascals (Pa) and pounds per square inch (psi)?

Final Exam Physics 114 – Fall 2019 6. The deep end of a pool is 9′ or approximately 3 meters. What is the water pressure at the

bottom of the deep end?

7. A car is placed on a hydraulic lift. The car has a mass of 2,000 kg. The hydraulic piston on the lift has a cross sectional area of 40.0 cm2 while the piston on the pump side has a cross sectional area of 6.0 cm2. How much force is needed on the pump piston to lift the car?

8. The Dead Sea gets its name from its extremely high salt content. Using Archimedes Principle to explain why a person will float in the Dead Sea but sink in a pool. The density of water in the Dead Sea is 1.24 g/cm3.

Final Exam Physics 114 – Fall 2019

9. Explain how an airfoil generates lift using Bernoulli’s Principle and Newton’s Third Law.

10. Draw the direction of the Magnus Force for the spinning ball shown below. The ball is moving from left to right.

11. What are the two conditions where Newton’s Laws of Motion break down?

12. What are the two postulates of Special Relativity?

Final Exam Physics 114 – Fall 2019

13. What is an inertial frame of reference?

14. A small particle called a muon is created at the top of the atmosphere when a high energy

cosmic ray hits an air molecule. The muon is travelling at v = 2.95 x 108 m/s with respect to the Earth. If a person on the ground observes the muon move for 1.0 ms in his frame of reference, how much time has passed in the frame of reference of the muon?

15. In the future, spaceships may be able to use fusion to accelerate to velocities near the speed of light. If such a spaceship could reach 0.997 c (99.7% of the speed of light), how far would a star like Epsilon Eridani be in the ships frame of reference. This star is 10.7 light years away in Earth’s frame of reference.

Final Exam Physics 114 – Fall 2019

16. How long will it take to reach this star in the problem above in the ship’s frame of reference and

the Earth’s frame of reference?

17. Antimatter will annihilate instantly when it comes in contact with normal matter. Calculate the amount of energy released when 0.50 grams (0.00050 kg) of antimatter combines with 0.50 grams of normal matter. This energy is equal to the rest mass as predicted by special relativity.

18. CERN’s Large Hadron Collider is the most powerful particle accelerator in the world. This machine is able to accelerate protons (m = 1.6 x 10-27 kg) to 0.999999991 c. How much kinetic energy do protons have at this speed?

Final Exam Physics 114 – Fall 2019

19. What are two pieces of evidence supporting the predictions made by General Relativity?

20. What is the significance of the “Event Horizon” of a black hole according to General Relativity?

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