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(II) Planet $A$ and planet $B$ are in circular orbits around adistant star. Planet $A$ is 9.0 times farther from the star thanis planet B. What is the ratio of their speeds $v_{A} / v_{B} ?$

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$\frac{1}{3}$

Physics 101 Mechanics

Chapter 6

Gravitation and Newton's Synthesis

Physics Basics

Newton's Laws of Motion

Applying Newton's Laws

Gravitation

Cornell University

University of Washington

Hope College

Lectures

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

03:55

In physics, orbital motion is the motion of an object around another object, which is often a star or planet. Orbital motion is affected by the gravity of the central object, as well as by the resistance of deep space (which is negligible at the distances of most orbits in the Solar System).

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So here we know that the velocity is equal to the square root of the gravitational constant times the mass divided by the distance between the two objects. So here we note that velocity is going to be inversely proportional to the square root of the distance. We can say the velocity. A butt about velocity B would then be equal to the square root of radius speed about my radius, eh? And we know that this is going to equal one over nine, because again, radius is nine times greater the radio speed. And so we can say that this is going to be equal to one over three, which simply means that the velocity of a will be equal to the velocity of be divided by three. So we can actually keep it us the ratio. But this was essentially what it means. The answer would be the ratio. However, that is the end of the solution. Thank you for watching

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