Concept explainers
(a)
The gravitational potential energy of the Moon-Pacific Ocean system when the Pacific is facing away from the Moon.
Answer to Problem 47QAP
Gravitational potential energy of the Moon-Pacific Ocean system is
Explanation of Solution
Given:
Density of the water of Ocean =
Volume of water of the Ocean =
Radius of earth =
The distance between moon and center of the earth =
Mass of the moon =
Formula used:
Mass of the object is defined as,
Gravitational potential energy is defined as,
Calculation:
Mass of the Ocean =
In this situation, Pacific Ocean is facing away from the moon. So, the distance between from the center of moon to the Ocean,
So, gravitational potential energy,
Conclusion:
Gravitational potential energy of Moon-Pacific system is
(b)
The gravitational potential energy when Pacific Ocean faces towards the moon
Answer to Problem 47QAP
The gravitational potential energy of the Pacific Ocean-Moon system, when Pacific Ocean faces towards the Moon, is
Explanation of Solution
Given:
Density of the water of Ocean =
Volume of water of the Ocean =
Radius of earth =
The distance between moon and center of the earth =
Mass of the moon =
Calculation:
The distance between center of the Moon and Ocean =
Then, gravitational potential energy,
Conclusion:
Thus, gravitational potential energy of the Moon-Ocean system, when Ocean is facing towards the Moon, is
(c)
The maximum speed of Ocean due to change in gravitational potential energy
Answer to Problem 47QAP
The maximum speed of the Ocean is
Explanation of Solution
Given:
Mass of the Ocean =
Formula used:
By conservation of mechanical energy,
Change in kinetic energy = - change in gravitational potential energy
Calculation:
Initial kinetic energy =
Final kinetic energy =
Now,
Conclusion:
Thus, maximum speed of the Ocean is
Want to see more full solutions like this?
Chapter 10 Solutions
COLLEGE PHYSICS
- The mean diameter of the planet Mercury is 4.88106m , and the acceleration due to gravity at its surface is 3.78m/s2 . Estimate the mass of this planet.arrow_forwardA system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25arrow_forwardA waterfall ride at King’s Dominion is 50 m high. The water flows over the top of the falls with a speed of 3 m/s.a) What is the speed of the water as it approaches the bottom of the falls?arrow_forward
- A hurricane is a tropical storm formed over the ocean by low atmospheric pressure. As a hurricane approaches land, inordinate ocean swells with a very high tides accompany the hurricane. Normally for a hurricane, there is an "eye" located at the center with very low wind velocity. Figure Q2a depicts a hurricane hovering over the ocean swell below. The atmospheric pressure at the point 1, generally normal for the ocean, which is located 300 km from the eye is 10 m in mercury (Hg). At point 1, the winds are calm. Given that the density of seawater and mercury is 1023.6 kg/m3 and 13534 kg/m3 , respectively, and the density of air at normal sea level temperature and pressure to be 1.22 kg/m3. i. Apply a proper form of energy conservation principle and estimate the ocean swells at the eye of the hurricane at point 3 (h1) and point 2 (h2). Please note that the wind velocity at the eye of the hurricane (point 3) is very low and the wind velocity at point 2 is 70 m/s. List down all the…arrow_forwardA piece of wire of length 1.00 m is cut into two parts, one of which is bent into a shape of a circle and the other into the shape of a square. How should the wire be cut so that the sum of the enclosed areas is a minimum?arrow_forwardIn 1960, the U.S. Navy’s bathyscaphe Trieste (a submersible) descended to a depth of nearly 11 km in the Marianas Trench near the Philippines in the Pacific Ocean. Instead of a large viewing window, it had a small circular window 15 cm in diameter. What is your explanation for so small a window?arrow_forward
- 10.0 m^3 of oil is spilled into a body of water. What is the surface area of the resulting oil slick, assuming the oil molecules all float on top of the water, lining up right next to each other so that the slick is one-molecule thick, and each oil molecule occupies the space of a cube 0.45 um on each side?arrow_forwardWithin a certain type of star called a neutron star, the material at the center has a mass density of 1.0 x 1018 kg/m³. If a tiny sphere of this material of radius 1.0 x 10-5 m were somehow transported to the surface of the earth, what would be the weight of this sphere? O 3.8 × 10⁹ N O 4.1 × 104 N O 1000 N O 7.0 × 104 N O 4200 Narrow_forwardA common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to determine whether this is possible. According to the hosts' experiment, such an event cannot happen. Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to test the myth. A typical jet plane travels at 542 mph at a cruising altitude of 25500 ft. The windows on a jet plane measure 14.0 in x 14.0 in. Calculate the force F exerted on such a window as the plane flies at 25500 ft above the sea level. Assume the density and pressure of air at 25500 ft are 0.562 kg/m³ and 382 mbar, respectively, but that the interior of the plane remains pressurized to atmospheric pressure, 1 atm. F = lb Calculate the fractional difference between this force and the weight wman of a typical adult male (185 lb). F Wman How would you respond to Adam and Jaime? There is no need to perform the experiment; it is…arrow_forward
- A common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to determine whether this is possible. According to the hosts' experiment, such an event cannot happen. Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to test the myth. A typical jet plane travels at 542 mph542 mph at a cruising altitude of 25500 ft.25500 ft. The windows on a jet plane measure 14.0 in14.0 in × 14.0 in.14.0 in. Calculate the force ?F exerted on such a window as the plane flies at 25500 ft25500 ft above the sea level. Assume the density and pressure of air at 25500 ft25500 ft are 0.562 kg/m30.562 kg/m3 and 382 mbar,382 mbar, respectively, but that the interior of the plane remains pressurized to atmospheric pressure, 1 atm.1 atm. ?=F= lblb Calculate the fractional difference between this force and the weight ?manwman of a typical adult male (185…arrow_forwardA common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to determine whether this is possible. According to the hosts' experiment, such an event cannot happen. Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to test the myth. A typical jet plane travels at 508 mph at a cruising altitude of 25500 ft. The windows on a jet plane measure 14.0 in × 14.0 in. Calculate the force F exerted on such a window as the plane flies at 25500 ft above the sea level. Assume the density and pressure of air 25500 ft are 0.562 kg/m³ and 382 mbar, respectively, but that the interior of the plane remains pressurized to atmospheric pressure, 1 atm. F = lb Calculate the fractional difference between this force and the weight wman of a typical adult male (185 lb) . F Wman How would you respond to Adam and Jaime? My calculation does not prove that such an event cannot…arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning