Planet X has four times the diameter and five times the mass of earth. What is the ratio gx:ge of gravitational acceleration at the surface of Planet X to the gravitational acceleration at the surface of the earth
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- Two vectors, A and B have their tails at the origin and are described by parameters (r,θ), where r is distance to the tip of the vector from the origin, and θ is the angle it makes with the positive x-axis. For A = (4, 30 deg) and B = (2, 90 deg), what is AB ?The drag force F on a boat is jointly proportional to the wetted surface area A on the hull and the square of the speed s of the boat. A boat experiences a drag force of 220 lb when traveling at 5 mi/h with a wetted surface area of 40 ft2. How fast must a boat be traveling if it has 28 ft2 of wetted surface area and is experiencing a drag force of 150 lb? (Round your answer to two decimal places.) mi/hAt what altitude above Earth's surface would the gravitational acceleration be 4.40 m/s²? (Take the Earth's radius as 6370 km.) Number Units
- The mass of an object is an unchanging property of an object. It is a fundamental measure of the amount of matter (stuff) present in the object. The SI unit of mass is kilogram (kgkg). [1 kgkg=2.2 lblb on Earth] Whereas, the weight is the force, the pull of gravity, acting on the object by the nearest most massive body such as Earth. The more massive the body, the greater is its force of gravitation. The mass of an object remains the same no matter where it is located whereas the weight depends entirely upon its location since the value of gravity varies from place to place. The relative gravity at different celestial location compared to Earth are listed below: Location Relative Gravity Earth 1.00 Outer space 0 Earth's moon 0.17 Mars 0.38 Jupiter 2.36 Saturn 0.92 Part A Consider an object of mass 45 kgkg. Rank the weight of this object at the following locations. Rank from heaviest to lightest. To rank items as equivalent, overlap them. Part B What would be…The density of the Earth can be expressed by the equation density = C{1.22 -(r/R)}, where R is the radius of the Earth and C is a constant. Find the expression for C in terms of total mass (M) and the radius (R)..The Bay of Fundy in Nova Scotia, Canada is reported to have the largest tides in the world with high tide and low tide occurring two times per day. The tides can measure over approximately 50.0 ft in height. At the Hopewell rocks at Hopewell cape, on a specific day height increase was recorded as a rate of 6.08 feet per hour. What is the rate in meters per second? Use Dimensional analysis to find answer.
- The weight of an object at the surface of a planet is proportional to planet's mass and inversely proportional to the square of the radius of the planet. Jupiter's radius is 11 times Earth's and its mass is 320 times Earth's. An apple weighs 2.20 N on Earth. How much would it weigh on Jupiter?One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?As an architect, you are designing a new house. A window has a height between 130 cm and 140 cm and a width between 64 cm and 60 cm. What is the largest area that the window could be?
- The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational constant. (a) If a ball is launched upwards from the surface of the moon with an initial speed of 1.15 km/s, what height maximum height above the surface of the moon will it reach? Give your answer in kilometers. (b) What is the escape speed of the moon? Give your answer in km/s.Exoplanet Taphao Keow is a Jupiter-sized planet orbiting another star. It has a mass of approximately 1×10+27[kg]. Its actual radius is not currently known, but we do know that the radius of Jupiter is 7×107[m]. Question: If Taphao Keow had a radius that was the same radius as Jupiter, what would it's local surface gravitational acceleration be? O 266 [m/s2] 124 [m/s²] 70 [m/s²] O 24 [m/s²] O 14 [m/s²] It would have a gravitational acceleration far larger than any of the other answers (many orders of magnitude larger) It would have a gravitational acceleration far smaller than any of the other answers (many orders of magnitude larger)A new planet named Vulcan has been discovered. Vulcan is a rather large planet with a radius twice that of Earth and a mass three times that of Earth. An astronaut has a mass of 60.0 kg and weighs about 132 lbs. on Earth. If the astronaut is on the planet Vulcan, what is her weight? The following numerical values may be helpful in this question. G = 6.67 ∙10-11 N∙m2/ kg2 Earth’s mass = 5.98 · 1024 kilograms g = 9.80 m/sec2 1 kilometer = 1000 meters