Q. 40 A satellite is moving very close to planet of density (9). The time period of the satellite is : (b) 2 PG tud (а) pG 3T (d) 1/3 30 (c) 2 PG 2 pG
Q: velocity of the proton in units of km/s
A: Given: Mass of proton is m=1.673×10-27 kg Charge on proton is q=1.6×10-19 C Radius of path is r=4.46…
Q: In a certain binary-star system, each star has the a mass of 1.08 x 1030 kg, and they revolve about…
A:
Q: Two earth satellites are in parallel orbits with radii 6900 km and 6901 km . One day they pass each…
A:
Q: While standing on the surface of a spherical asteriod of mass M and radius R., and astronaut thows a…
A: Mass of asteroid=MRadius=RMaximum height=h
Q: A solid copper sphere of mass M and radius R has a cavity of radius ½ R. Inside the cavity a…
A: The force due to first sphere is, The force due to second sphere is,
Q: Satellite A orbits the earth at a height 3.00 times the earth's radius. Satellite B orbits the earth…
A: Given, Satellite A is revolve around the earth at height,HA = 3ReSatellite B is at a height,HB =…
Q: Communications satellites are placed in a circular orbit where they stay directly over a fixed point…
A:
Q: Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy.…
A: Solution: Given Values, Orbital speed of first planet (v1)=36.8 Km/s =36.8×103 m/sOrbital speed…
Q: A projectile is launched vertically upward from a planet of mass M and radius R; its initial speed…
A: The initial velocity of the projectile vi is 2 ve, where ve is the escape velocity. Since the…
Q: A planet is in an elliptical orbit around a distant star. At periastron (the point of closest…
A:
Q: A satellite of earth has a speed of 5900 m/s. Find: a) the radius of the orbit b) the period of…
A:
Q: Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy.…
A: Given , Orbital speed of planets are 37.4 km/s and 51.8 km/s Time period of slower planet is 6.05…
Q: At what altitude h above the north pole is the weight of an object reduced to 27% of its…
A:
Q: Two satellites are in circular equatorial orbits of different altitudes. Satellite A is in a…
A: 1. For an elevation angle of 0 degrees: Satellite A is in a geosynchronous orbit, meaning it…
Q: star in the Andromeda galaxy is found to have a planet orbiting it at an average radius of…
A: Given radius(r)=3.38 x 1010 m Orbital period(T)=5.46 x 104 s
Q: While visiting Planet Physics, you toss a rock straight up at 11 m/s and catch it 2.5 s later. Your…
A: The speed of the rock is 11 m/s. The time taken to catch the rock is 2.5 s. The time taken by the…
Q: Two planets of equal mass orbit a certain star. The planet Iang (m1) describes a circular orbit of…
A:
Q: An asteroid, headed directly toward Earth, has a speed of 12 km/s relative to the planet when the…
A: Solution
Q: The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a…
A:
Q: (a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an…
A:
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 x 1011…
A: The time period of an astronomical object revolving around a central mass is given by Kepler's third…
Q: C) ESA wants to send a satellite to Jupiter to investigate its internal structure and origin by…
A: Here's the explanation based on the theory behind the calculations:Escape Velocity:Every object…
Q: A spacecraft of mass m is in a clockwise circular orbit of radius R around Earth.. The mass of Earth…
A:
Q: A particle of mass m is placed at a distance r away from the center of a thin circular hoop of mass…
A: Given, mass as, m1=Mm2 =m radius=R, distance=r.
Q: Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 44.4 km/s, and v,…
A:
Q: Three uniform spheres of masses m₁ = 3.00 kg, m₂ = 4.00 kg, and m3 = 5.00 kg are placed at the…
A: FINAL ANSWER: Resultant gravitational force on the object of mass m2 is 8.34×10^-11i…
Q: Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy.…
A: The orbital speed of the first planet, v1=44.6 km/s=44.6×103 m/s The orbital period of the first…
Step by step
Solved in 2 steps
- The mass and radius of a planet are M and R, respectively. A satellite of mass m orbits the planet in an elliptical orbit. At its closest position, the altitude of the satellite is 0.5R and its velocity is v. What is the speed of the satellite (in terms of v) at its farthest position, where its altitude is 2R? 0.25v 0.55v 0.45v 0.30v 0.40v 0.60v 0.50v 0.35vThe earth orbits the sun at an approximate velocity v = 30 km/s and radius r = 150*10^6 km. (a) Assuming a circular orbit for the earth, what is the approximate mass of the sun? (b) If the mass of the sun was doubled, what would the new length of a year be? Assume the Earth remains in circular orbit about the sun at its usual orbital radius. Answer in terms of current years. (Hint: you do not need to plug in the value of G.)(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.96 x 10“ m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s)? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your calculations.) 354790 Your response differs from the correct answer by more than 100%. m/s (b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a "gravitational slingshot" to increase the speed of a probe to the escape speed from the solar system, which is 1.85 x 10“ m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from the Earth's surface at a speed of 4.10 × 10“ m/s relative to the Sun, what is the increase in speed needed from the gravitational slingshot at Jupiter for the space probe to escape the solar system (in m/s)? (Assume…
- Designing an interplanetary mission from Earth to Jupiter. Given the position and velocityvectors for the Earth parking orbit, r = 8228 I +389 J +6888 K (km)v = -0.7 I +6.6 J -0.6 K (km/s) 1.) Assuming that the satellite will enter the Hohmann transfer elliptical orbit from perigee of its current Earth parking orbit, determine the total velocity increment, Δvtotal required for a Hohmann transfer from the Earthparking orbit to 200km altitude Jupiter parking orbit. 2.) Calculate the semi-major axis, period in earth years, and eccentricity of the Hohmann transfer ellipse.Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.7 x 104 light years from its center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) (a) What should the orbital period of that star be? yr (b) If its period is 5.2 x 10 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar massesAn exotic planet Vogsphere is known to have a mass that is 1/81 that of the Earth and a radius 0.25 that of the Earth. Astrophysicist Trillian built a rocket and decided to leave the planet and never to return. Given that the escape speed from the Earth is 11.2 km/s, with what speed must Trillian achieve his goal?
- Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is v| = 225 km/s and the orbital period of each is 11.6 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) M XCM M Part 1 of 3 - Conceptualize From the given data, it is difficult to estimate a reasonable answer to this problem without working through the details and actually solving it. A reasonable guess might be that each star has a mass equal to or slightly larger than our Sun because fourteen days is short compared to the periods of all the Sun's planets. Part 2 of 3 - Categorize The only force acting on each star is the central gravitational force of attraction which results in a centripetal acceleration. When we solve Newton's second law, we can find the unknown mass in terms of the variables…Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 46.8 km/s, and v, = 59.6 km/s respectively. (a) If the period of the first planet P, is 7.70 years, what is the mass of the star it orbits around? | kg (b) Determine the orbital period of P,. yrA massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. (a) One of these stars is believed to be in an approximātely circular orbit with a radius of about 1.50 x 10° AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting. kg (b) What is the speed of this star? V star m/s How does it compare with the speed of the Earth in its orbit? V star VEarth How does it compare with the speed of light? V star
- Two satellitess, and S, orbit around a planet P in circular orbits of radil r, = 5.15 x 106 m, and r, = 8.40 x 106 m respectively. If the speed of the first satellite S, is 1.65 x 10 m/s, what is the speed of the second satellite S,? m/sTwo newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 36.2 km/s and 65.0 km/s. The slower planet's orbital period is 8.33 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years? (a) Number (b) Number i Units UnitsTwo newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 39.5 km/s and 58.5 km/s. The slower planet's orbital period is 6.68 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years? (a) Number i (b) Number i Units Units ◄►