a. A binary system consists of star A with mass of 3.8 x 100 Kg and star B with mass of 3.2 x 100 kg. Their centres are separated by 9.8 AU (1.5 x 10¹1m)- Calculate how far the centre of mass of the system is from star A. b. What is the reduced mass of such system in part a? c. A point has coordinates (x,y,z) in cartesian coordinate system, use spheral coordinates as generalized coordinates to calculate dy d. Positions of two planets are given as (-4.00, 2.94,-0.10) AU and (6.41.6.54,-0.37) AU. Find the distance between them?
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- Center of Mass. c) The mass of the Sun is 2x1030 kg. The distance between the Earth and the Sun is 1.5x108 km. How does the distance between the CM of this system compare to the Sun’s radius of 700,000 km?1. You and a friend set up an umbrella and chairs at Torrey Pines State Beach. Your friend goes boogie boarding while you read a book. Half an hour later you are surprised to see that your friend has moved south, parallel to the beach. They are still boogie boarding the same distance from shore, in the surf zone. Why did your friend drift parallel to the beach? 2. The Sun is much more massive than the Moon, but the Moon has a bigger influence on Earth's tides than the Sun. Why is this? 3. Even when there is no wind at the beach, we still see waves. What is the source of these waves? Do not include tides, mass movement, or earthquakes in your answer. 4. What causes ocean surface water to sink to the bottom and become deep water? Where does this happen? 5. How do you escape a Rip Current?m = A little particle ball has a mass 200g. It is placed at a point along the axis of a hoop at a distance of d=1.2 m from its center. The hoop has a mass of M=2.0 kilograms. The radius of the hoop is R=50cm. Figure out the following and explain your thought processes for each one: a. The magnitude and direction of the force of gravity on the particle ball due to the hoop b. What the gravitational potential energy is of the system. R mo I I M
- An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 31 hours. The mass of the planet is M = 2.1 • 1025 kg. The spaceship enters a circular orbit with an orbital period that is equal to the planet's period for the rotation about its axis, T. a. Enter an expression for the radius of the spaceship’s orbit. b. Calculate the orbital radius in meters.A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 10×1025 kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.The class I'm taking is physics for scientists and engineers! I am completely stuck. Need help. I have attached the problem. Please view both attachments before answering. Please write step-by-step solution so I can fully understand.
- 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 incorrectAn 800 kg satellite orbits Earth and take one day for complete orbit. Earth has a radiu 6,372 km and a mass of 5.972 x 10^24. A. If the radius of orbit is constant, find the altitude of the satellite above Earth's surface. B. Find the orbital speed of the satellite C. The satellite suddenly turns off, stops moving and heads straight towards the surface of Earth. At what speed will the satellite crash into the Earth's surface? (Hint: Use energy conservation)
- how do i solve this problemThe mass of the Sun is 2 × 10³⁰0 kg, and the mass of Mercury is 3.3 × 10²³ kg. The distance from the center of mass of the Sun to the center of mass of Mercury is 4.8 x 10¹⁰ m. a. Calculate the magnitude of the gravitational force exerted by the Sun on Mercury. b. What is the magnitude of the gravitational force exerted by Mercury on the Sun?Part C What is the speed of the heaviest star? Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) v2 = Submit μA Value Units ?