QB3c. A satellite is moving with the constant angular velocity (see sketch below) and itsdisplacement projected onto the vertical line PN is S. Write down an expression for thedisplacement S as function of time t if the starting point of the motion is at W, the radius of thesatellite's orbit is R and its rotational frequency is f. Please use appropriate algebraic symbolsfor multiplication (* for a × b), division (/ for a/b), exponents (a^b for a³), square root(sqrt(a*b/c) for √ax b/c) etc. For Greek letters use their names e.g. "theta", "alpha", "pi","mu" (without the quotes) and for trigonometric functions use "cos", "tan", "sin" (without thequotes). Thus for Acoso use A*cos theta. Please use the "Display response" button to check youentered the answer you expect.SNAPSatelliteRW

Answered: Image /qna-images/answer/61de4264-8245-4819-a7d3-af6194e29e1c.jpg

Answered: QB3c. A satellite is moving with the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Please answer parts a-c
Tidal forces are gravitational forces exerted on different parts of a object by a second object. Their effects are particularly visible on Earth's surface in the form of tides. To understand the origin of tidal forces, consider Earth-Moon system to consist of two spherical bodies, each with a spherical mass distribution. Let RE be the radius of Earth, m be the mass of the Moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreses with distance, the accelaeration a(near) experienced by a unit mass located at the point on the earth's surface closest to moon is slightly different from the acceleration a(far) experienced by a unit mass located at the point on the earth`s surface farthest from the moon. Give a general expresion for the quantity a(near)- a(far).
A circular track has several concentric rings where people can run at their leisure. Phil runs on the outermost track with radius rP while Annie runs on an inner track with radius rA = 0.70 rP. The runners start side by side, along a radial line, and run at the same speed in a counterclockwise direction. How many revolutions has Annie made when Annie's and Phil's velocity vectors point in opposite directions for the first time?
I Review i Two satellites are in circular orbits around a planet that has radius 9.00 × 10° m. One satellite has mass 68.0 kg, orbital radius 6.00x107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 5.00x107 m. Part A What is the orbital speed of this second satellite? Express your answer to three significant figures and include the appropriate units. HẢ ? V = Value Units Submit Request Answer
Problem 1. Consider the Sun-Earth system with a center-to-center distance of 1.5x 101 m. Suppose that at some instance the Sun's velocity is zero and its location is at the origin. Ignoring all effects but that of the Earth, what will the Sun's velocity and position be after 1 day. Compute the same quantities for the Earth ignoring the fact the Earth is in a circular orbit (i.e., assume it to initially be at rest). Treat this as a 1D problem. Gr Ecrok FJ 2/A 2 57 (5.994 Xt0 49 5,21 10 Problem 2. Given only the distance between the Earth and Moon (REM = 3.84 x 108 m) and that between the Earth and the Sun (1 AU), determine the mass of the Earth and the mass of the Sun. How can we measure REM or RSE? M 1 142 1 k (P
A bead of mass m slides without friction along a curved wire with shape z = f(r) where r = Vr2 + y², i.e. the distance from the z-axis. The wire is rotated around the z-axis at a constant angular velocity w. Gravity acts downward along the z-axis with a constant acceleration g. a) Using Newton's second law in an inertial frame, derive an expression for radius ro of a fixed circular orbit (i.e. a solution with r = ro = const.). What is the normal force the wire applies to the bead to keep it in a circular orbit? b) Show that the equation of motion for r(t) (general equation not the circular motion) is F(1 + f'(r)²) + i² f'(r)f"(r) + gf'(r) – w?r = 0. Using this verify your answer to part (a). c) Consider small displacements from the circular orbit, r = ro+e(t). Derive a condition on the function f(r) such that a circular orbit at r = ro is stable. d) Find the force on the bead in the o direction, i.e. perpendicular to the plane of wire. The angular velocity is w = . Obtain the answer…
A large spherical gas cloud of radius = 5 x109 km has a mass = 2.4 x1030 kg, and is spinning to make one revolution in 60 years (i.e. Earth years, each of 365 days of 24 hours each). Due to gravity, the cloud gets smaller to a radius = 1.2 x106 km. What will be its period of rotation in minutes?
Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center. Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let Fp be the magnitude of the gravitational force on the apple when it is located at the planet's surface. How far from the surface (what multiple of R) is there a point where the magnitude of the gravitational force on the apple is 0.5 FR if we move the apple (a) away from the planet and (b) into the tunnel? (a) Number: Units: (b) Number: Units:
A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the figure. As the station rotates, an astronaut in chamber A is moved 369 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time if r_a = 266 m and r_b = 165 m? Note: Express your answer in whole numbers. No unit is required for the final answer. Set your calculator in radians. ra A rB B.
Group Homework 3, due Friday, February 11, at the beginning of class A coin is placed near the edge of a turntable of radius R rotating with constant frequency f. The figure shows a top view of the arrangement. a) What is the relation between the radius of the turntable, the frequency of revolution, and the speed of the coin? Remember f 1/T. b) Add an arrow to the figure indicating the direction of acceleration of the coin when it rotates with the turntable c) Draw a free-body diagram for the coin in side view. Please remember to include a coordinate system and to label your forces. d) If the turntable rotates slowly, the coin will move with the turntable. However, if it rotates too fast, the coin will slide off. Assuming that the static friction coefficient between the coin and the turntable is us, derive an equation for the maximum frequency at which the turntable can spin before the coin slides off. e) If the maximum speed is exceeded, the coin slides off. For this case, add the…
A toy racecar races along a circular race track that has a radius of 19 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.25 radians since it started moving. a. The racecar is how many radius lengths to the right of the center of the race track? radius lengths Preview b. The racecar is how many meters to the right of the center of the race track? meters Preview c. The racecar is how many radias lengths above the center of the race track? radius lengths Preview d. The racecar is how many meters above the center of the race track? meterss Preview
Consider an annular disk rolling down an inclined plane. The annular disk has mass 154 [g], inner radius 8.00 [cm] and outer radius 12.0 [cm]. The inclined plane has a slope that forms an angle of 44.6° with the ground. A. Suppose that the coefficient of static friction ?s is large enough so that the annular disk rolls without slipping. What is the magnitude of the translation acceleration felt by the annular disk's center of mass in the direction parallel to the slope? B. What is the minimum value that the coefficient of static friction ?s must take so that the annular disk rolls without slipping?

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