Introductory Chemistry For Today
8th Edition
ISBN: 9781285644561
Author: Seager
Publisher: Cengage
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Part A
Planet X rotates in the same manner as the earth,
around an axis through its north and south poles,
and is perfectly spherical. An astronaut who weighs
943.0 N on the earth weighs 910.0 N at the north
pole of Planet X and only 850.0 N at its equator.
The distance from the north pole to the equator is
18,850 km, measured along the surface of Planet
X.
How long is the day on Planet X?
Express your answer in hours.
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Part B
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If a 45,000 kg satellite is placed in a circular orbit 4000 km above the surface of Planet X, what will be its orbital period?
Express your answer in seconds.
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In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of 1×10^3 suns and a radius equal to one-half the radius of our moon. What is its density in grams per cubic centimeter? The mass of the sun is 2.0×10^30 kg and the radius of the moon is 2.16×10^3 mi (Volume of a sphere =4/3πr^3)
In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of 8×103 suns and a radius equal to one-half the radius of our moon. What is its density in grams per cubic centimeter? The mass of the sun is 2.0×1030kg and the radius of the moon is 2.16×103mi. (Volume of a sphere =43πr3.)
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- Unfermented grape juice used to make wine is called a “must.” The sugar content of the must determines whether the wine will be dry or sweet. The sugar content is found by measuring the density of the must. If the density is lower than 1.070 g/mL, then sugar syrup is added until thedensity reaches 1.075 g/mL. Suppose that you have a sample taken from a must whose mass is 47.28 g and whose volume is 44.60 mL. Describe how you would determine whether or not sugar syrup needs to be added and if so, how would you estimate how much sugar syrup to add?arrow_forwardMass and weight are related via the equation W=mg on Earth. Mass is how much matter an object has and weight is the measure of mass under a gravitational field (on Earth g =9.80m/s2). Suppose you go to an unknown planet-X where the gravitational field of the planet is g’= 23.15m/s2. Will a metal have a higher, lower, or the same density on planet-X when compared to Earth. Assume the volume of the metal doesn’t change.arrow_forwardThe volume of water in large scale reservoirs is often measured in units of an acre-foot, which is the amount of water covering one acre of surface to a depth of one foot. An acre-foot is equivalent to 43,560 ft³. A particular water tower in town was constructed to hold 2.55 acre-feet of water. What is the volume of water in liters that the water tower will hold? ( 1 US liquid gallon = 231 cubic inches, 3.785 liters = 1 US liquid gallon)arrow_forward
- The density of a certain metal is (6.60x10^0) g/cm3. What is the mass in grams of a sample of this metal that has a volume of (8.460x10^-2) m3? Enter your answer in scientific notation with 3 sig figs. Do not include any units in your answer. Do not round any intermediate calculations. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer:arrow_forwardMass and weight are related via the equation W=mg on Earth. Mass is how much matter an object has and weight of mass under a gravitational field (on Earth g=98.0 m/s) Suppose you go to and unknown planet-X where the gravitational field on the planet is g'=23.15 m/s. Will a metal have a higher, lower or the same density on planet -X when compared to Earth. Assume the Volume of the metal doesn't changearrow_forwardNonearrow_forward
- While creating a piece of art work, a student becomes curious about the ink he is using to create his art. He wonders if the in is a pure substance or a mixture. The ink appears to be uniform throughout, but separates when a chromatography experimer is performed on it, leaving multiple marks of different colors along the chromatography paper. Using his observations of the properties of the ink, the student can classify it as a heterogeneous mixture. solution. compound. element.arrow_forwardA particular coal contains 2.55% sulfur by mass. When the coal is burned, it produces SO2 emissions which combine with rainwater to produce sulfuric acid.Determine how much sulfuric acid (in metric tons) is produced by the combustion of 1.2 metric ton of this coal. (A metric ton is 1000 kg.) Express your answer using two significant figures.arrow_forwardWe use the density of water to calculate the mass of water from its volume. The density of water at 25°C is 0.998 g/mL. If a calorimeter was filled with 104.6 mL of water, what is the mass of water in grams?arrow_forward
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