The perihelion of the comet TOTAS is 1.69 AU and the aphelion is 4.40 AU. Given that its speed at perihelion is 28 km/s, what is the speed (in km/s) at aphelion (1 AU = 1.496 x 1011 m)? (Hint: You may use either conservation of energy or angular momentum, but the latter is much easier.) |km/s Additional Materials O eBook

The aphelion distance for Jupiter is b. 5.457 c. 6.521 d. 7.435

Find the escape velocity ve for an object of mass m that is initially at a distance R from the center of a planet of mass M. Assume that R≥Rplanet, the radius of the planet, and ignore air resistance. Express the escape velocity in terms of R, M, m, and G, the universal gravitational constant.

Determine the ratio of Earth's gravitational force exerted on an 80-kg person when at Earth's surface and when 1100 km above Earth's surface. The radius of Earth is 6370 km. FE on P,surface FE on Ph 195] ΑΣΦ ?

The International Space Station, which has a mass of 4.94×105 kg, orbits 258 miles above the Earth's surface, and completes one orbit every 94.3 minutes. What is the kinetic energy of the International Space Station in units of GJ (109 Joules)? (Note: don't forget to take into account the radius of the Earth!) Enter answer here GJ

A satellite of mass 200 kg is launched from a site on Earth’s equator into an orbit 200 km above the surface of Earth. a. What is the satellite’s speed before it’s launched (in m/s)? (Hopefully, it’s moving along with the surface of the Earth as the Earth rotates.) b. What is the satellite’s speed in its orbit (in m/s)? (Remember there is only onespeed a satellite can have in order to maintain a stable circular orbit with agiven radius.) c. Assuming a circular orbit, what is the orbital period of this satellite? (In other words, how long (in hours) does it take for the satellite to complete one orbit?) d. What is the minimum energy (work) necessary to place the satellite in orbit,assuming no air friction? (Remember, work is the amount of energy added tothe system, and the total energy of the system is a combination of kinetic andgravitational potential energies.)

2. a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57E11 Previous submissions: 457000000000 b. What is the mass of the star? 1.465E30 Previous submissions: 1.465e30 kg c. Planet B is closer in. B has a larger velocity of 38500 m/s. What is the radius of B's orbit? 6.598E10 Previous submissions: m 65980000000 m m kg m incorrect incorrect V incorrect

M. 00 F. %24 D. %23 HP TrueVision HD Pavi Se th Site w Technical A AN Careers Mail - boss Texas Work MOe Homework A College X C O 8 https://www.webassign.net/web/Student/Assignment-Responses/last?dep3D28680740 不。 CTN LIAL The International Space Station has a mass of 4.19 x 105 kg and orbits at a radius of 6.79 x 106 m from the center of Earth. Find the gravitational force exerted by Earth on the space station, the space station's gravitational potential energy, and the weight of a 71.4 kg astronaut living inside the station. HINT (a) the gravitational force (in N) exerted by Earth on the space station (Enter the magnitude.) N (b) the space station's gravitational potential energy (in J) (c) the weight (in N) of an 71.4 kg astronaut living inside the station Need Help? Watch It Read It MY NOTES ASK YOUR TEACHER PREVIOUS ANSWERS SERCP11 7.5.P.039. 8. [2/2 Points] DETAILS dp AMIN g ong Pva ladurial A 732006020610 ADVANCED AUD insert Oly f5 114 米 $ ヤ % 6 #3 9. %3D K. pa B. 目

I just need to know what is the Energy Conservation Equation.

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.