(a) Suppose that your measured weight at the equator is one-half your measured weight at the pole on a planet whose mass and diameter are equal to those of Earth. What is the rotational period of the planet? (b) Would you need to take the shape of this planet into account?
Q: The radius of the Earth is about 6,000 km. My weight on the surface of the Earth is 950 N. At…
A:
Q: The weight w of an object varied inversely as the square of the distance d between the object and…
A: Given: W1= 90 kg r1= 6400 km W2= weight of the man at 400 km r2= 400 km
Q: Planet A has a mass of mA = 1.50 × 1024 kg and planet B has a mass of mB = 2.40 × 1023 kg. The…
A: The force of gravity between any two masses is given by the equation F=Gm1m2r2G is the universal…
Q: Earth’s mass is 5.98 x 1024 kg and it is located 150 million kilometers from the Sun. Calculate the…
A: To find the mass of the sun
Q: its orbit? (Measured frrom the center of Mars.) 2)What is the force of attraction between Mars and…
A:
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 10…
A:
Q: Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and…
A: As gravitational force is equal to the centripetal force, The angular speed is given by, The time…
Q: Why does doubling the mass of an object double its weight, but doubling its distance from the center…
A:
Q: A planet with a mass of 7.5 × 1025 kg moves around a 9.5 × 1031 kg star in a perfectly circular…
A:
Q: The radius of the Earth is about 6,000 km. My weight on the surface of the Earth is 950 N. At…
A:
Q: Asteroids are believed to be material that never collected into a planet. An asteroid has a period…
A: Using Kepler's third law of motion .................(1) Where T…
Q: A rocket is launched from the surface of a planet with mass 9.1 x 1024 kg and radius 3.2 x 106 m at…
A: Concept used: Escape speed is the velocity at which an object escapes the gravitational pull of a…
Q: The distance between the Earth and Mars when the two planets are at opposition varies greatly…
A: In astronomy opposition is defined as a configuration when two astronomicl objects are located at…
Q: onsider a planet consisting of two thin concentric shells, as in the picture, both made from the…
A: The shell theorem states that a spherically body affects external objects gravitationally as if all…
Q: There is a planet X that has a mass that is 24 times that of the earth and 4 times the earth's…
A:
Q: Two 1.0-kg masses are located with one at each of two corners of an equilateral triangle with sides…
A: m1 = m2 = 1 kg side of equilateral triangle (d) = 1 m
Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…
A: Given : v1 = 2.5 x 104 m/s d1 = 3 x 1011 m d2 = 5.3 x 1010 m
Q: A spherical planet has an outer radius R; its density p varies as a function of distance r from the…
A:
Q: 2. You are on an unknown planet whose mass is 9.2 x 10²kg. It's sun has a mass of 1.4 x 1035 kg,…
A: When you are on a planet and orbiting the Sun, the weight will be equal to the gravitational force.
Q: If you could be transported to another planet whose Mass was the same as the Earth, but whose radius…
A: Answer : The correct option is B. Mass would remain the same, Weight would decrease by a factor of…
Q: Jupiter revolves around Sun in a circular orbit with a radius of 7.78 x 10^11 m. It takes 11.86…
A: Given data Radius of circular orbit is a=7.78×1011 m Time period is T=11.86 years =3.74×108 s Find…
Q: Chapter 13, Problem 011 In the figure, two spheres of mass m = 9.24 kg. and a third sphere of mass M…
A:
Q: Calculate the period of a satellite orbiting a planet with the mass 8.7 x 1022 kg given the height…
A: Mass of the planet, M=8.7×1022kg Height to the satellite's orbit, h=300km=300×103m Radius of the…
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: Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the…
A:
Q: If the gravitational field strength at the surface of Venus is g, at what distance from the surface…
A:
Q: A woman whose weight is 680 N on the Earth’s surface is in a spacecraft at an altitude above the…
A: Weight, W = 680 N Weight in the spacecraft, W' = ?
Q: A geosynchronous satellite is placed in orbit around Venus. Venus has a rotational period of…
A: A geosynchronous satellite which revolves around a planet and appears to be stationary at one spot…
Q: The mean distance of an asteroid from the Sun is 1.74 times that of Earth from the Sun. From…
A:
Q: A planet of mass 6 x 1024 kg is in orbit around a star of mass 2 x 1030 kg. If the distance between…
A:
Step by step
Solved in 2 steps
- The radius of the Earth is about 6,000 km. My weight on the surface of the Earth is 1250 N. What would be my weight (how much force would the Earth exert on me) at a distances of 72,000 km measured from the center of the Earth?(a) A planet is in an elliptical orbit around a distant star. At its closest approach, the planet is 0.580 AU from the star and has a speed of 54.0 km/s. When the planet is at its farthest distance from the star of 37.0 AU, what is its speed (in km/s)? (1 AU is the average distance from the Earth to the Sun and is equal to 1.496 x 10¹¹ m. You may assume that other planets and smaller objects in the star system exert negligible forces on the planet.) km/s (b) What If? A comet is in a highly elliptical orbit around the same star. The comet's greatest distance from the star is 20,900 times larger than its closest distance to the star. The comet's speed at its greatest distance is 2.70 x 10-² km/s. What is the speed (in km/s) of the comet at its closest approach? km/sAn asteroid has a mass of 3.66 × 10kg and a radius of 8.2 × 10m. If a 25 kg mass is dropped from 10 m above the “ground” of the asteroid, how long will it take the mass to fall to the ground?
- A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period ofthe orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. a)What is the weight of a person of mass m as they step out onto the plant’s surface? b)Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds).Write an expression for the astronaut’s perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)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 massesCalculate the period of a satellite orbiting a planet with the mass 8.7 x 1022 kg given the height of the satellite's orbit is 300 km and the radius of the planet is 2000 km. Provide your answer in Sl units.
- On Earth, a person has a weight of 520 N. What weight would the person have on Mars? Theradius of Mars is 53% of the radius of Earth, and its mass is 11% of the mass of Earth.Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).(a) Calculate the distance from the Earth's surface of the point which the gravitational field strength is zero, given the following data: Distance between the Earth and the Moon = 384 000 km; Mass of the Earth = 5.98 x 10^24 kg; Mass of the Moon = 7.35 x 10^22 kg; Radius of the Earth = 6.37 x 10^6 m (b) If a small mass is placed at this point, does is receive gravity force? Is the gravitational potential energy at this point equal to 0? Explain your answer.
- Based on Kepler's laws and information on the orbital characteristics of the Moon, calculate the orbital radius for an Earth satellite having a period of 1.00h. What is unreasonable about this result?A certain quaternary star system consists of three stars, each of mass m, moving in the same circular orbit of radius r about a central star of mass M. The stars orbit in the same sense, and are positioned one-third of a revolution apart from each other. Show that the period of each of the three stars is given by the following expression. (Submit a file with a maximum size of 1 MB.) T = 2πt در G(M+ Choose File No file chosen mAstronomical 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 5.6 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 5.1 x 107 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 masses