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_forwardConsider the Earth and the Moon as a two-particle system. a. Find an expression for the gravitational field g of this two-particle system as a function of the distance r from the center of the Earth. (Do not worry about points inside either the Earth or the Moon.) b. Plot the scalar component of g as a function of distance from the center of the Earth.arrow_forward
- The acceleration due to gravity on the surface of a planet is three times as large as it is on the surface of Earth. The mass density of the planet is known to be twice that of Earth. What is the radius of this planet in terms of Earth’s radius?arrow_forwardLet gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forwardA tank is filled with liquid of density p = 1000 in kg/m^3). Its shape is obtained by rotating the curve y = x ^ 2, 0 <= x <= 2 around the y-axis. Find the work that is required to pump all the liquid out of the tank (from the top of the tank). All the lengths are in units of meter (m). Do not forget to use gravitational constant, g (Please type answer no write by hend)arrow_forward
- A fluid that occupies a volume of A Liter weighs B N at a location where the gravitational acceleration is 9.80 m/s2 A = 4.5 liters B = 15 N Mass of this fluid (kg) is _________. Density (kg/L) of fluid is ________.arrow_forwardYou are with an excursion party on an exploration of the surface of Mars. You find a small lake of water of that 1.76 m. Assume the density of the freshwater is unchanged on Mars. You measure the absolute pressure at the bottom of the lake to be one 161,800 Pa. What is the absolute pressure (in atm) at the surface of the lake. Assume the value of G on Mars is 3.72 m/s^2arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author: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