: The earth moves round the sun in à circular orbit of radius 1.5 × 108 km. Calculate B. E. of the earth. Mass of sun = 2 × 1030 kg, radius of earth = 6400 km, g = 9.8 m/s² %3D
Q: If the radius of Earth is given by R_ERE, then when you are a distance of 2R_E2RE from the…
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Q: Ex. 17: A satellite is revolving around the earth in a circular orbit at a distance of 107 m from…
A: The speed(v) of the satellite. Given, Universal Gravitational ConstantG=6.67×10-11 Nm2kg2mass of…
Q: A 21.0 kg satellite has a circular orbit with a period of 3.90 h and a radius of 8.90 × 106 m around…
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Q: Determine the magnitude of the gravitational acceleration caused by the Earth at a height of 1.5 Re…
A: Earth's radius (RE) = 6,371,000 metersHeight above Earth's surface (h) = 1.5RE = 9,556,500…
Q: The Sputnik 1 satellite orbited Earth (mass = 5.98 x 1024 kg) in a circle of %3D radius 6.96 x 106…
A: Given value--- mass of earth M = 5.98 × 1024 kg . radius of circle r = 6.96 × 106 m. We have to…
Q: A satellite is orbiting around the Earth with a period of 2.3 hr. (Mass of the Earth is 5.98 x 1024…
A: Time period (T) = 2.3 hr mass of earth = 5.98×1024 kg radius of earth = 6.37×106 m
Q: Scientists want to place a 4100 kg satellite in orbit around Mars. They plan to have the satellite…
A: If a particle moves in a circle of radius r with velocity v, the acceleration is given by v2r…
Q: Once we have the mass, we can determine the magnitude of the circular velocity of the moon using the…
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Q: The radius of the Earth is about 6,000 km. My weight on the surface of the Earth is 950 N. At…
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Q: A planet has a mass of 5.98 x 10²4 kg. It has an average orbital speed of 2.978 x 104 m/s as it…
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Q: An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in…
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Q: .) An Astronaut is in free orbit around the earth while doing a spacewalk. Assuming that he is in a…
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Q: 4. A satellite orbits the earth at 34.5 km above the surface of the planet. It was put there by the…
A: The distance of the satellite from the surface of the Earth, The radius of the Earth, The mass of…
Q: Lara is spinning a basketball with a radius of 13 cm the tip of her finger. What is the mass of the…
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Q: it of the moon about the earth is approximately circular, with a mean radius of 3.84 x 10% m. It…
A: Given- Radius of orbit of moon (R) = 3.84 x 108 m Time to complete an orbit (t) = 27.3 days Now we…
Q: Assume the Earth is a uniform sphere with constant density. Let R represent the radius of the Earth…
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Q: A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been…
A: Hey there, since you have asked multiple questions we have solved the first three for you. Please…
Q: .) If the aliens promptly left the surface of the Earth and entered orbit (at a radius of 6800 km…
A: (given) Radius of Earth = 6800 km = 68×105 m Mass of Earth…
Q: 6. Assuming that the Moon is revolving around the center of the Earth (? = 3.84 × 108m) and…
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Q: motorcycle is traveling at a constant speed v when it encounters a circular hill of radius r = 590…
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Q: An artificial satellite is in a circular orbit d 520.0 km above the surface of a planet of radius r…
A: Given data : radius of planet, r = 4.65 × 103 km = 4650000 m height of satellite, d = 520 km =…
Q: 2. Comets travel around the Sun in highly eccentric elliptical orbits. If a comet has a speed V1 =…
A: A comet while going on elliptical orbit around the Sun has constant angular momentum due to no…
Q: The earth orbits the sun once a year (3.16-107 seconds) in a nearly circular orbit of radius…
A: The earth orbits the sun once a year in The radius of the circular orbit is
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- A rocket, launched from the Earth, shuts off its engines when its speed is 5.10 km/s. It reaches a maximum altitude of 2600 km before it falls back to Earth. At what altitude did the rocket's engines shut off? The mass and radius of the Earth are 5.97 1024 kg and 6.37 106 m, respectively. kmAn artificial satellite circles the Earth in a circular orbit at a location where the acceleration due to gravity is 5.42 m/s. Determine the orbital period of the satellite. min Need Help? Read ItA uniform distribution of dust in the solar system adds to the gravitational attraction of the Sun on a planet an additional forceF = −m C rwhere m is the mass of the planet, C is a constant proportional to the gravitational constant and the density of the dust, and r is the radius vector from the Sun to the planet (both considered as points). This additional force is very small compared to the direct Sun-planet gravitational force.Calculate the period for a circular orbit of radius r0 of the planet in thiscombined field.
- In uniform circular motion, Select one: a. there is no fixed relationship between the direction of the acceleration and the direction of the velocity. b. the acceleration and the velocity are always parallel. С. the acceleration always points away from the center of the circle. d. the velocity always points towards the center of the circle. е. the acceleration and the velocity are always perpendicular.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/sA race-car starts at the 3 o’clock position and drives counterclockwise on a circular track with a radius 4 miles. a/ What distance (in miles) has the race-car traveled if the angle swept out by the race-car is: (i). 90◦ (degree)? (ii). 5 radians? b/ What is the angle measure (in radians) swept out if the race-car has traveled 4 miles counterclockwise? c/ What does it mean about the path of the car for the angle measure to be greater than 4π radians? Explain.
- 9Problem 33: Planet 1 has mass 3M and radius R, while Planet 2 has mass 4M and radius 2R. They are separated by center-to-center distance 8R. A rock is placed halfway between their centers at point O. It is released from rest, and you may ignore any motion of the planets. Part (b) Calculate the magnitude of the acceleration of the rock (in m/s2) the moment it is released, using M = 59 × 1025 kg and R = 33 × 108 km. Part (d) Calculate the speed the rock crashes into the planet in m/s.Found a large planet the size of Jupiter orbiting a star. The distance of the planet is 1/9 times the distance between Mercury and the sun. The planet takes 3.09 days to make one orbit (assuming circular). How fast is the planet moving? (Knowing G = 6.67 × 10^-11 N m²/kg², distance of Mercury from the sun = 5.79 x 1010 m) a. 131 km/s b. 141 km/s c. 151 km/s d. 161 km/s e. 171 km/s
- Suppose that humans have created a colony outside of our solar system on a planet called Cheops5. Cheops5 has a mass of 2.25×10^25 kg and a day that lasts 29.9 h (which defines the rotational period of the planet). The colony is located on the planet's equator. The colonists set up a communications satellite which orbits Cheops5. The satellite has a circular orbit that keeps it positioned directly above the colony. Calculate the radius ?r of the satellite's orbit in kilometers.4. We are planning a human exploration mission to Mars. We will first place our spacecraft into a circular around Mars and then send down a lander. a) If we want the spacecraft to orbit at an altitude of 170 km above the Martian surface, what will the velocity and orbital period of the spacecraft? b) When we land astronauts on the surface of Mars, what acceleration due to gravity in terms of g's (i.e. as a fraction of the Earth's gravitational acceleration) will the astronauts experience? You are permitted to use an online resource (e.g. Google) to find the necessary information about Mars that you might need in solving this problem.