A satellite orbiting a planet with a radius of 2.0 x 107m very near the surface of the planet has a period of 4.1 hours. Determine the gravitational field intensity g on that planet.
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- Two blocks, M=B.00 kg and m=2.00 kg are being pulled across a rough floor(u k=0.14) by a force of FO= 68N directed 52 degrees above the horizontal, as shown. The top block m cannot slide on the bottom block so the system can be treated as a single 10.0 kg block which we will call MT Fo, M-2.0 ks 520 M-8.0kgTwo masses m, = 100 kg and m, = 8100 kg are held 1 m apart. (a) At what point on the line joining them is the gravitational field equal to zero? Find the gravi- tational potential at that point. (b) Find the gravitational potential energy of the system. Given G = 6.67 × 10-" Nm? kg.Your starship, the Aimless Wanderer, lands on the mysterious planet Mongo. As chief scientist-engineer, you make the following measurements: A 2.50 kg stone thrown upward from the ground at 12.0 m/s returns to the Part A ground in 5.70 s; the circumference of Mongo at the equator is 2.00 x 105 km; and there is no appreciable atmosphere on Mongo. The starship commander, Captain Confusion, asks for the following information: What is the mass of Mongo? Express your answer with the appropriate units. HA m = Value Units Part B If the Aimless Wanderer goes into a circular orbit 40,000 km above the surface of Mongo, how many hours will it take the ship to complete one orbit? Express your answer in hours to three significant figures. t =
- #20 Contigous Golden SpheresSuppose two spheres fashioned of pure Gold are in contact. What must the radius of the spheres be such that the gravitational force among them is exactly 1.00 Newtons of force? Recall that the density of Gold is ρAU = 19, 300 kg/m^3, while the magnitude of the gravita- tional force among the spheres is given by the Universal Law of Gravitation: Fg =G*(M1*M2)/ d2 where d is the distance between the geometric centers of the gold spheres. It may also help to note that the volume of a sphere is (4π /3)*R^3 . A. 2.28 m B. 1.74 m C. 1.01 m D. 0.58 mA satellite in geostationary orbit (also called synchronous orbit) appears to remain stationary in the sky as seen from any particular location on the planet. a.) In the future, there will be need for satellites in synchronous orbit around Mars to aid colonies. At what altitude would such a satellite need to be above the surface of Mars?Assume that the mass of Mars is 6.39 × 10^23 kg, the length of the Martian solar day (i.e., sol) is 24h 39m 35s, the length of the sidereal day is 24h 37m 22s, and the equatorial radius is 3396 km. (Hint: if you haven’t had a physics class before, you can find this by using the fact that the acceleration of an object in circular motion either as v2/r, where v and r are the velocity and radius of the orbit, or as 4Pi 2r/T2 , where T is the period. Use this second equation and Mathematical Insight 4.5 on p. 131 to find r for T=1 day. Make sure to use values for Mars nstead of Earth, as necessary. Alternatively, you can calculate the answer using Newton’s…A 100-kg metallic ball at rest is being pulled by the strange magnetic field of a planet, where the force (in newtons) is given by the km function F (r) = 4p5 Where: r = distance from the planet's surface in km m = object's mass in kg k = 5.00 km5/kg The metallic ball starts at a very distant position from the planet (r → c0) and falls towards the planet. What is the potential function U (r) of the planet? Use the condition lim,. U(r) = 0. 'r→∞ What is the metallic ball's speed (in m/s) once the steel ball is one kilometer above the planet's surface? Justify your answer using your rationale and equations used.
- In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres with masses of 1.20 kg and 12.0 g whose centers are separated by about 4.90 cm. Calculate the gravitational force between these spheres, treating each as a particle located at the center of the sphere. Need Help? Master It Read ItTwo masses m1and m2 with a separation distance of d, attract each with a force F. What is the relationship between the F and the separation distance d? ii. By what factor will the force of attraction change if the separationdistance changes to 0.25d?You are the pilot of a spacecraft intended for travel at very high speeds. Before leaving you measure the spacecraft to be 31.4 m long and have a mass of 5.28 x 104 kg. During your travel, you pass a planet and exchange information with an observer on the planet. You are told that your spacecraft has been measured to be 28.6 m long. a. How fast is your spacecraft travelling with respect to the planet? b. You are told there is a nearby planet that is stationary with respect to the first planet. The observer on the first planet says it will take you 25 s to reach the nearby planet. How far away does your co-pilot on the spacecraft say the nearby planet is? c. How much energy was required to accelerate your spacecraft to this speed?
- Calculate the gravitational force between these two protons. Newton's gravitational constant is 6.7 × 10¬11 N· m²/kg² and the mass of the proton is 1.7 x 10-27 2 kg. Answer in units of N.George and Theresa, married for over 50 years, boast to their friends that they are physically attracted to each other and can prove it using the laws of physics. They enlist you to do the calculations. Prove to the world that they indeed are physically attracted to each other, at least gravitationally. Assume that George weighs 170 lb, Theresa weighs 130 lb, and that they are standing side by side (body centers 18 inches apart). What is their attractive force?Use the following information to determine the orbital velocity at treetop level on the surface of the moon. PSYW Mass of moon = 7.36 x 1022 kgRadius of Moon = 1.74 x 106 m