Which of the following is NOT true of the force of gravity?O There is a gravitational force between any objects that are massive.It is inversely proportional to the square of the distance between the twobodies.O It is proportional to the mass of each object.O The force of gravity only acts on things that are close together.

The force of gravity acts on mass regardless of the magnitude of the mass and the separation between…

Answered: Which of the following is NOT true of…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 5CQ

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An astronaut out on a spacewalk to construct a new section of the International Space Station walks with a constant velocity of 2.00 m/s on a flat sheet of metal placed on a flat, frictionless, horizontal honeycomb surface linking the two parts of the station. The mass of the astronaut is 75.0 kg, and the mass of the sheet of metal is 245 kg. a. What is the velocity of the metal sheet relative to the honeycomb surface? b. What is the speed of the astronaut relative to the honeycomb surface?
Pick an isolated system for the following scenarios while including the fewest number of objects as possible. a. A satellite in orbit around the Earth b. An airplane in flight c. A truck driving along the road d. A person jumping
Three billiard balls, the two-ball, the four-ball, and the eight-ball, are arranged on a pool table as shown in Figure P7.26. Given the coordinate system shown and that the mass of each ball is 0.150 kg, determine the gravitational field at x=2m, y=0.
Each Voyager spacecraft was accelerated toward escape speed from the Sun by the gravitational force exerted by Jupiter on the spacecraft. (a) Is the gravitational force a conservative or a nonconservative force? (b) Does the interaction of the spacecraft with Jupiter meet the definition of an elastic collision? (c) How could the space-craft be moving faster after the collision?
When a star dies, much of its mass may collapse into a single point known as a black hole. The gravitational force of a black hole on surrounding astronomical objects can be very great. Astronomers estimate the strength of this force by observing the orbits of such objects around a black hole. What is the gravitational force exerted by a black hole on a 1-solar-mass star whose orbit has a 1.4 1010 m radius and a period of 5.6 days?
Sphere A with mass 81 kg is located at the origin of an xy coordinate system; sphere B with mass 58 kg is located at coordinates (0.30 m, 0); sphere C with mass 0.32 kg is located at coordinates (0.12 m, 0.18 m). In unit-vector notation, what is the gravitational force on C due to A and B? Number j Units
Jupiter is about 300 times more massive than Earth. One might quickly conclude that an object on the surface of Jupiter would weigh 300 times more than on the surface of the Earth. For instance, one might expect a person who weighs 500 N on Earth would weigh 150000 N on the surface of Jupiter. Yet this is not the case. In fact, a 500-N person on Earth weighs about 1500 N on the surface of Jupiter. Explain how this can be.
Sphere A with mass 67 kg is located at the origin of an xy coordinate system; sphere B with mass 72 kg is located at coordinates (0.27 m, 0); sphere C with mass 0.36 kg is located at coordinates (0.16 m, 0.12 m). In unit-vector notation, what is the gravitational force on C due to A and B? Number i it i j Units N
Newton's universal law of gravitation states that every particle in the universe attracts every other particle with a force along a line joining them. The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically, it can be written as GMm F According to this law, when mass of both objects is doubled, the force r m becomes two times larger compared to original O becomes four times larger compared to original becomes quarter of the original O becomes half compared to original
Sally and Sam are in a spaceship that comes to within 14,000 km of the asteroid Ceres. Determine the force Sally experiences due to the presence of the asteroid. The mass of the asteroid is 8.7 x 1020 kg and the mass of Sally is 79 kg. For calculation purposes assume the two objects to be point masses. N
Gravitational force due to a mass The gravitational force on a point mass m due to a point mass M is a gradient field with potential U(r) = GMm/r, where G is the gravitational constant %3D and r = Vx? + y? + z² is the distance between the masses. a. Find the components of the gravitational force in the x-, y-, and z-directions, where F(x, y, z) = –VU(x, y, z). b. Show that the gravitational force points in the radial direction (outward from point mass M) and the radial component is F(r) = GMm/r². c. Show that the vector field is orthogonal to the equipotential surfaces at all points in the domain of U.
Sally and Sam are in a spaceship that comes to within 10,000 km of the asteroid Ceres. Determine the force Sally experiences, in N, due to the presence of the asteroid. The mass of the asteroid is 8.7 x 1020 kg and the mass of Sally is 78 kg. For calculation purposes, assume the two objects to be point masses. N

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