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(1) The escape velocity from planet A is double that forplanet B. The two planets have the same mass. What is theratio of their radii, $r_{A} / r_{\mathrm{B}} ?$

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$\frac{r_{\mathrm{A}}}{r_{\mathrm{B}}}=\frac{1}{4}.$

Physics 101 Mechanics

Chapter 8

Conservation of Energy

Work

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Lu C.

October 25, 2020

This is wrong. He could have never get to 1/4 like that.

This is wrong. When he cancells the square roots, he forgets to square the 2

University of Michigan - Ann Arbor

Simon Fraser University

McMaster University

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

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(I) The escape velocity fr…

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this kept velocity from below is given by we A for planet a square root off to mass of the planet times the gravitational constant divided by the radius of the planet And the escape velocity for the planet B is given by two times mass off the planet be times G divided by R B, where g is gravitational constant. So it is given the question that the velocity of escape for Planet A is two times two velocity of escape for planet B. So we just equate these two. So which means that too m g over our A should be equals to two times two mbg over r b so we can cancel the square root from both the scientific squaring. But the science we will get to Emmy G divided by R A, is equal to two times two mbg divided by R b. So in this case, we can actually get if you saw these two equations since, um, the planners of the same mass so therefore the masses would cancel, and then we'll just get our A over or B is equals to 104 So that's the from all of their stance of

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