A material has an index of refraction that increases continuously from top to bottom. Of the three paths shown in the figure, which path will a light ray follow as it passes through the material?

2

Physics & Space Science

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Two pistons push down on the fluid filling two cylinders connected by a narrow hose, as shown in the figure. The area A1 is 1 square inch, and the area A2 is 10 square inches. A force of 4 pounds is exerted downward on piston 1, as shown

![5753|301x266](upload://apEimbYykc9Zs3idcNJhyqZkmQZ.png) The force F2 needed to keep piston 2 in place is __________.

Physics & Space Science

If the average density of matter and energy in the Universe equals the critical density, space-time will be _____

A) finite B) flat C) positively curved D) negatively curved

Physics & Space Science

On a winter day the temperature drops from –15°C to –25°C overnight. If a pan sitting outside contains 0.20 kg of ice, how much heat is removed from the ice for this temperature change?

a. 0.1 kcal b. 1 kcal c. 4 kcal d. 0.4 kcal

Physics & Space Science

A machinist needs to punch a 5.0-cm-radius hole in a steel plate which is 0.45 cm thick. If the ultimate shear strength of steel is 2.50 × 10^8 Pa, what is the force required to accomplish this task?

a. 8.8E+5 N b. 3.5E+5 N c. 5.6E+6 N d. 1.1E+8 N

Physics & Space Science