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An asteroid of mass $m$ is in a circular orbit of radius $r$around the Sun with a speed $v .$ It has an impact withanother asteroid of mass $M$ and is kicked into a new circularorbit with a speed of 1.5$v .$ What is the radius of the neworbit in terms of $r ?$

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0.44$r$

Physics 101 Mechanics

Chapter 6

Gravitation and Newton's Synthesis

Physics Basics

Newton's Laws of Motion

Applying Newton's Laws

Gravitation

Simon Fraser University

University of Sheffield

McMaster University

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.

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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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6.71. So we have an asteroid moving in a circular orbit around the sun with some speed be, and then it has an impact with a another asteroid of the mass of Capital M, and it's kicked into a new orbit. It has a speed 50% greater than its old one, and we want the fine what its new the new radius of its orbit is. So for an object that's orbiting around something, we know that it's heat is going to be G times the mass of that object, the sun, in this case, over our this square root of all that's and our new V will call, the crime is equal to 1.5. So 1.5 claims she times. The mass of the sun divided by the original radius is equal to the square root of G times, the mass of the sun provided by our new radius. And so solving this for our prime. You get that it's hard over 1.5 squared or zero point for for times are

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