Answered: 4. A certain star is a perfect sphere… | bartleby

Related questions

Question

4. A certain star is a perfect sphere of radius R. Its density varies
with radius according to p = Ar? kg/m³, where A is a constant. Use
Gauss's law to determine the gravitational field at the following two
locations.
a) An inner point (r < R), and
b) An outer point (r > R).

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

You are standing on the surface of a planet that has sphericalsymmetry and a radius of 5.00 * 10^6 m. The gravitational potential energyU of the system composed of you and the planet is -1.20 * 10+9 Jif we choose U to be zero when you are very far from the planet. Whatis the magnitude of the gravity force that the planet exerts on you whenyou are standing on its surface?
3. Verify Stokes' Theorem for fas F. dr, where F = -yx²i + xy²j + zk, and S is the part of the sphere x² + y² + z² = 4 that lies in the upper half-space z ≥ 0.
a) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. 2 M = 47² ² 2 C M= 4+1 (30214100000) 667 e
16. Suppose a force exerted by an object on another mass at a distance r from the center of the planet is 2.8r ', if r R F(r) = r4 at a point to determine if F is continuous at r=R. Use the definition of continuity
#E.2:
Members of the Star Trek exploration committee find themselves on Physitopia, a planet with its own unique gravitational characteristics. The Force-sensitive individuals on the committee, accustomed to manipulating the Force on various planets, are now faced with a new challenge: understanding and adapting to the gravitational force on Physitopia. Physitopia has a mass of 6.46 × 1023 kg and a radius of 3.39 × 106 m, poses an intriguing gravitational scenario. To address the concerns of the Star Trek characters, we must calculate the acceleration due to gravity on Physitopia and determine the weight of a 65 kg individual.
PART B AND PART C
You have a super high-tech spacecraft travelling through space that gets caught in a circular orbit around a mysterious object of mass 10 times that of the Sun and a radius of 30km. Your team decides to observe the behavior of this object but due to the heat that it's giving off, it is required that your satellite obtain a circular orbit of at least r = 5.3e5km to be considered 'safe'. You are currently in a circular orbit with r = 4.1e5km. What is the minimum delta-v required to reach the safe orbit
1. Every particle in the universe attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. This force acts along the line joining the two particles. The magnitude of the gravitational force can be written as 2. A 87-kg person and a 78-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the distance between the centers of the two objects be 41.0 m. FG = _____ (Units) 3. A 83-kg person and a 61-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the distance between the centers of the two objects be 39 m. FG = _____ (Units 4. A 65-kg person and a 75-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the…
Help with physics review
#20 Contigous Golden SpheresSuppose two spheres fashioned of pure Gold are in contact. What must the radius of the spheres be such that the gravitational force among them is exactly 1.00 Newtons of force? Recall that the density of Gold is ρAU = 19, 300 kg/m^3, while the magnitude of the gravita- tional force among the spheres is given by the Universal Law of Gravitation: Fg =G*(M1*M2)/ d2 where d is the distance between the geometric centers of the gold spheres. It may also help to note that the volume of a sphere is (4π /3)*R^3 . A. 2.28 m B. 1.74 m C. 1.01 m D. 0.58 m
A satellite in geostationary orbit (also called synchronous orbit) appears to remain stationary in the sky as seen from any particular location on the planet. a.) In the future, there will be need for satellites in synchronous orbit around Mars to aid colonies. At what altitude would such a satellite need to be above the surface of Mars?Assume that the mass of Mars is 6.39 × 10^23 kg, the length of the Martian solar day (i.e., sol) is 24h 39m 35s, the length of the sidereal day is 24h 37m 22s, and the equatorial radius is 3396 km. (Hint: if you haven’t had a physics class before, you can find this by using the fact that the acceleration of an object in circular motion either as v2/r, where v and r are the velocity and radius of the orbit, or as 4Pi 2r/T2 , where T is the period. Use this second equation and Mathematical Insight 4.5 on p. 131 to find r for T=1 day. Make sure to use values for Mars nstead of Earth, as necessary. Alternatively, you can calculate the answer using Newton’s…

SEE MORE QUESTIONS