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(II) What is the apparent weight of a $75-\mathrm{kg}$ astronaut2500 $\mathrm{km}$ from the center of the Earth's Moon in a spacevehicle $(a)$ moving at constant velocity and $(b)$ acceleratingtoward the Moon at 2.3 $\mathrm{m} / \mathrm{s}^{2}$ ? State "direction" in each case.

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a) 59 $\mathrm{N}$b) $110 \mathrm{N},$ away from the Moon

Physics 101 Mechanics

Chapter 6

Gravitation and Newton's Synthesis

Physics Basics

Newton's Laws of Motion

Applying Newton's Laws

Gravitation

Yusuff H.

September 24, 2020

Why mg-Fn despite Fn direction move upward

University of Washington

University of Sheffield

University of Winnipeg

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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6.31. So we have a 75 kilogram astronaut in some sort of space vehicle. He's 2500 kilometres from the centre of the moon and we want to figure out what they're apparently is going to be when they're either moving at a constant speed at this position or if they're accelerating towards the moon at 2.3 meters per second squared. So in both cases will assume that there's some sort of surface the astronaut is in contact with. Um, there's going to be there sort of actual weight from the moon. So the moon is downwards in this case and there's going to be a normal force whose magnitude will be there apparently. So if we're moving with a constant velocity than the acceleration of the astronaut has to be zero. So the net force acting on the astronaut has to be zero we're going to be taking down is the positive direction for convenience and this problem we have M g minus f sub n people zero So the normal forest is going to be mg. It's going to G mm mass of the moon, divided by our distance from the center square. So this is 59 0.23 Newton's and the direction of this forces towards the moon. Now, if we're accelerating towards the moon, we have mg minus the normal force is equal to m A. We're told that a is 2.3 meters per second squared. Excuse me. Um so then the normal force is going to be mg minus M a. This we just found previously, um is our 59.23 new clues and then em in a were given. And so this is negative 113 0.3 Newton's because it's negative. This is directed away from the moon.

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