Using Newton's Law of Gravitation, if there are two objects exerting the force of gravity on each other and the mass of one of the objects is quadrupled, then the force between them is a. doubled. b. quartered. c. tripled. d. quadrupled.

Match the phrase from Kepler's laws to the quick descriptor. a. Kepler's 3rd law, b. Kepler's 1st law, c. Kepler's 2nd law. 1. The elliptical path of the planets around the sun includes the center of the sun at one focus. 2. The ratio of squares of the periods of two planets is equal to the ratio of cubes of the average distance from the sun. 3. This law describes an imaginary line from the center of the sun to the center of the planet that sweeps through equal areas in equal time intervals.

How does the ISS help manage space junk? a. It alters its own orbit to avoid known space junk. b. It slows down the orbit of the decommissioned satellite. c. It speeds up the orbit of the decommissioned satellite. d. It places a decommissioned satellite in a graveyard orbit.

Which of these statements accurately describes how a satellite stays in orbit? a. It is outside of Earth's gravity. b. It is continuously falling and missing the Earth. c. Its thrust is stronger than Earth's gravitational pull. d. It is moving so fast that gravity doesn't affect it.

Which of the following methods would scientists use to determine global changes in Earth's climate over time? a. by examining ice cores, b. by examining tree rings, c. by examining sedimentary strata, d. by examining glacial eccentrics.

Find the second derivative of the given function. $f(x)=e^{2 x}+2 e^{-x}$

Water is pumped through a pipe of diameter 15.0 cm from the Colorado River up to Grand Canyon Village, on the rim of the canyon. The river is at 564 m elevation and the village is at 2 096 m. What additional pressure is necessary to deliver this flow? Note: You may assume the free-fall acceleration and the density of air are constant over the given range of elevations.

Zircon crystals, which form in igneous and metamorphic rocks, contain trace amounts of uranium-238, a radioactive element which decays to lead-206 over time. Scientists measure the ratios of U-238 and Pb-206 to estimate when the crystal formed. The half-life of U-238 is about 4.5 billion years. a. If the ratio of U-238 to Pb-206 atoms is 1:1, how old is the zircon crystal? b. A scientist measures the U-238:Pb-206 ratio of a single sample from a rock from the continental crust. The ratio is 1:3. What can the scientist conclude from this sample alone?

Which of the following observations support or are explained by the nebular theory? a. Planets orbit in one direction around the sun. b. Venus has a thick atmosphere of carbon dioxide. c. The inner planets are denser, smaller, and less massive than the outer planets. d. Helium and hydrogen gas are evenly distributed in the solar system. e. In other solar systems, there are giant, low-density planets orbiting very close to their stars.

Use the following words and phrases to complete the paragraph below describing events in the formation of the solar system. Increased, dust particles, fusion, flattened, solid core, cloud of dust and gas, planetesimals, gravity, accretion, collapse, star, massive bulge. The solar system began as a swirling _____. Some disturbance caused the cloud to _____. As this happened, the density, temperature, and pressure within the cloud _____. As material swirled toward the center, the cloud _____ into a disk. A _____ developed at the center of the disk as mass accumulated there under the force of _____. At some point, _____ began and the bulge became a _____. At the same time, in the surrounding disk, _____ came together to form rocks. These rocks came together to form _____ which grew larger through _____ to form the inner planets and the _____ of the outer planets.

Give an argument using rules of inference to show that the conclusion follows from the hypotheses. Hypotheses: Everyone in the class has a graphing calculator. Everyone who has a graphing calculator understands the trigonometric functions. Conclusion: Ralphie, who is in the class, understands the trigonometric functions.

A round pencil lying on its side is in neutral equilibrium relative to displacements perpendicular to its length. What is its stability relative to displacements parallel to its length?

Hydrogen chloride, HCl, is a gas at room temperature. Would you expect it to be very soluble or not very soluble in water?

A model for how the solar system formed must explain observations and reasoning. Identify each statement as an example of an observation or reasoning. If a statement is false or invalid, identify it as such. a. Most of the mass of the solar system is in the sun. b. The sun is composed primarily of hydrogen and helium. c. The sun formed more than 13.8 billion years ago when the universe formed. d. Most objects in the solar system orbit the sun in the same direction. e. If most of the mass of the solar system is in the sun and the sun is mostly hydrogen and helium, then the solar system must primarily be hydrogen and helium.