4. The acceleration due to gravity on the moon[gм] is 1/6 of acceleration due to gravity on the surface of earth. How many times is the period on moon (TM) greater or less than that on the surface of the earth(T)? [Given that g= 9.8 m/s² on the surface of the earth]
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![4. The acceleration due to gravity on the moon[gм] is 1/6 of acceleration due to
gravity on the surface of earth. How many times is the period on moon (TM)
greater or less than that on the surface of the earth(T)?
[Given that g= 9.8 m/s² on the surface of the earth]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9781b3eb-554e-4cd1-84a0-167726194e9f%2F24ff4242-cf9e-46b8-bb1c-fcbd63a22c15%2Fconhqc_processed.png&w=3840&q=75)
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- Two binary stars orbit each other as shown below. If the period of both stars is 6.7 x 105s, r1= 9.0 x 1010m and r2= 4.0 x 1010m, determine m2.The moon's period of revolution around the Earth is 27.3 d. How far away is the moon from the surface of the Earth? O A) 1.33× 107 m B) 3.83 × 108 m C) 3.77 × 108 m D) 4.88 × 10⁹ mB) what is the period of the orbit, in hours?
- 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).14. "Weighing the moon": Knowing the mass of the Earth, ME, Earth-Moon distance, R, and period of moon orbiting around the Barycenter is T. The mass of the Moon can be determined as 47n? R3 (А) Мм GT2 47?R3/2 (B) Мм GT2 4n?R3 (C) Мм – MẸ GT? 4n²R3 (D) MM = MẸ GT23. The gravitational acceleration at Earth's surface (ge) is about 10 m/s? and ge = GM/R?. What is gp at the surface of a planet with 2X Earth's mass and 3X Earth's radius?
- The gravitational force exerted by the earth on a unit massat a distance r from the center of the planet is where M is the mass of the earth,R is its radius, and G isthe gravitational constant. Is F a continuous function of r ?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.