At the Sun’s surface, the gravitational force between the sun and a 5.00 kg mass of hot gas has a magnitude of 1370 N.  Assuming that the sun is spherical and has a mass of 2 x 1030 kg, what is the sun’s mean radius?

In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?

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

Exoplanet Taphao Keow is a Jupiter-sized planet orbiting another star. It has a mass of approximately 1×10+27[kg]. Its actual radius is not currently known, but we do know that the radius of Jupiter is 7×107[m]. Question: If Taphao Keow had a radius that was the same radius as Jupiter, what would it's local surface gravitational acceleration be? O 266 [m/s2] 124 [m/s²] 70 [m/s²] O 24 [m/s²] O 14 [m/s²] It would have a gravitational acceleration far larger than any of the other answers (many orders of magnitude larger) It would have a gravitational acceleration far smaller than any of the other answers (many orders of magnitude larger)

Consider a spherical shell constructed from a material of density 6.1 x 103 kg/m3.  The inner radius of the shell is 4.9 x 106 m from the center, and the outer radius of the shell is 9.2 x 106 m from the center.  Calculate the magnitude of the gravitational field 13.1 x 106 m from the center of the shell, in N/kg.  Use G = 6.7 x 10-11 N m2 / kg2. (Please answer to the fourth decimal place - i.e 14.3225)

I-C.

You encounter a strange cosmic string in outer space.  The string extends along the x axis from x = 0 m to x = 4.6 x 104 m.  You are located at x = -5.4 x 104 m.  You experience a gravitational field equal to 9.6 x 10-6 N/kg at this location.  Assuming the string has a constant linear mass density, calculate this linear mass density, in units of 105kg/m.  Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)

Determine the gravitational field at mass A. The radius of masses A and C is 50 cm while the radius of mass B is 75 cm.

Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg8.93×1022kg and a radius of 1821 km. How high would this material go on earth if it were ejected with the same speed as on Io? (RE = 6370 km, mE=5.96×1024kg)

A very dense UFS (Unidentified Flying Sphere) has radius 1370_m and acceleration due to gravity 9.4 m/s at its surface. Find the mass of the sphere. (Note that the mass is given in exagrams or Eg, and 1 Eg = 1018 grams.) 310.6 Eg 252.4 Eg 276.5 Eg 264.5_Eg 290 Eg 300.4 Eg А. D. В. Е. С. F.