Consider a satellite that is in geosynchronous orbit around the earth's equator. A geosynchronous orbit is one in Earth which the satellite appears to satellite be stationary overhead for m someone looking up at it from Me a point on the equator – some communications satellites are placed in that orbit because of that apparent "stationary" property. The mass of the earth is Me = 5.98 ×10* kg, and the mass of the satellite m = 100 kg. The radius of the earth is R. = 6.37 × 10°m. The satellite is made of titanium, whose specific heat is 134 J/(kg K) (assume the same for both solid and liquid), the latent heat of fusion is 282.7 kJ/kg, and the melting temperature is 3695K, the boiling temperature is 5828 K. The gravitational constant G = 6.673 × 10" N m²/kg². A. What is the angular velocity of the satellite? В. What is the radius of the orbit of the satellite?

Black holes are difficult to observewith telescopes because they, bydefinition, don’t emit or reflect any light. They can be found by look-ing for other nearby objects orbit-ing them, however. Here is a dia-gram of a star in a circular orbit around a black hole. a. The period of the star’s orbit is 90 days, and its orbital radius around the black hole isobserved to be 3.6 : ×10^11 m. Find the orbital velocity of the star in units of m/s. (You need to convert 90 days to seconds, first). The circumference of a circle is 2πr.  b. The mass of the star is known to be 4 × 10^30 kg. Find the centripetal acceleration of thestar and the strength of the gravitational force on the star.  c. Find the mass of the black hole.

Chapter 04, Problem 029 7 Your answer is partially correct. Try again. The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are ma = 322 kg, mg = 589 kg, and to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. mc = 185 kg. Take the positive direction to be 0.500 m 0.250 m

The planet, named 581 c that has a radius that is 1.5 times the radius of Earth. If the acceleration of the gravity on the surface of the planet 581 c, g 581c = 2.22 g Earth. Find the mass of the planet 581 c.

Tidal forces are gravitational forces exerted on different parts of a body by a second body. Their effects are particularly visible on the earth's surface in the form of tides. To understand the origin of tidal forces, consider the earth-moon system to consist of two spherical bodies, each with a spherical mass distribution. Let r. be the radius of the earth, m be the mass of the moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreases with distance, the acceleration anear experienced by a unit mass located at the point on the earth's surface closest to the moon is slightly different from the acceleration afar experienced by a unit mass located at the point on the earth's surface farthest from the moon. Give a general expression for the quantity anear-afar Express your answer in terms of G, m, r, and re. ▸ View Available Hint(s) anear afar = ΜΕ ΑΣΦ ? x Xb √√x √x X [X] X.10" Variables are case sensitive. No credit lost. Try again.

a. A binary system consists of star A with mass of 3.8 x 100 Kg and star B with mass of 3.2 x 1030 kg. Their centres are separated by 9.8 AU (1.5 x 10¹1m) Calculate how far the centre of mass of the system is from star A. b. What is the reduced mass of such system in part a? c. A point has coordinates (x,y,z) in cartesian coordinate system, use spherical coordinates as generalized coordinates to calculate dy d. Positions of two planets are given as (-4.00, 2.94,-0.10) AU and (6.41, 6.54,-0.37) AU. Find the distance between them? Attach File Browse Local Files Browse Content Collection

In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres with masses of 2.10 kg and 21.0 g whose centers are separated by about 3.60 cm. Calculate the gravitational force between these spheres, treating each as a particle located at the center of the sphere. N