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You’re a civil engineer for an advanced civilization on a solid spherical planet of uniform density. Running out of room for the expanding population, the government asks you to redesign your planet to give it more surface area. You recommend reshaping the planet, without adding any material or
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- A space probe is fired as a projectile from the Earths surface with an initial speed of 2.00 104 m/s. What will its speed be when it is very far from the Earth? Ignore atmospheric friction and the rotation of the Earth. P11.26 Ki+Ui=Kf+Uf12mvi2+GMEm(1rf1ri)=12mvf212vi2+GME(01RE)=12vf2orvf2=v122GMEREandvf=(v122GMERE)1/2,vf=[(2.00104)21.25108]1/2m/s=1.66104m/sarrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardTwo spherical asteroids have the same radius R. Asteroid 1 has mass M and asteroid 2 has mass 2M. The two asteroids are released from rest with distance 10R between their centers. What is the speed of each asteroid just before they collide?arrow_forward
- 3. b. Consider a large massive spherical shell object. With all of its mass M is distributed at its radius R (shown in the figure). Draw a schematic graph of gravitational force and corresponding gravitational potential energy experienced by another object m at a distance r, where the distance varies as, r →0 tor→. Figure 2: Question 3(b) Two masses systemarrow_forwardAround 2.5 centuries ago, several physicists of the time came up with the notion of a dark star. This was a star so dense, with so much gravity, that not even light could escape. The calculations used Newtonian mechanics. In class, we calculated the escape speed from the surface of the earth or the distance from the sun, and the mass of the planet or star. Here, the process is partially reversed. Calculate the dark star radius from the mass of the star and the escape speed. Answer in kilometers. c = 3*108 m/s M = 2.4*1030 kg G = 2/3 * 10-10 N*m2/kg2arrow_forwardAround 2.5 centuries ago, several physicists of the time came up with the notion of a dark star. This was a star so dense, with so much gravity, that not even light could escape. The calculations used Newtonian mechanics. In class, we calculated the escape speed from the surface of the earth or the distance from the sun, and the mass of the planet or star. Here, the process is partially reversed. Calculate the dark star radius from the mass of the star and the escape speed. Answer in kilometers. • c = 3*108 m/s • M = 3.7*1030 kg G = 2/3 * 10-10 N*m²/kg²arrow_forward
- Hi, in physics I they have The earth's radius is 6.37×106m; it rotates once every 24 hours. I have already found the angular speed ω= 7.3×10−5 rad/s and the point on the equator v= 460 ms. What I'm trying to understand is what is the speed of a point on the earth's surface located at 2/5 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?)arrow_forwardA small asteroid that has a mass of 1.00×102 kg is moving at 7.00×102 m/s when it is 1.00×103 km above the Moon. The radius of the Moon is 1.74×106 m.At what speed ?impact will the asteroid be traveling when it impacts the lunar surface if it is heading straight toward the center of the Moon? How much work ? does the Moon do in stopping the asteroid if neither the Moon nor the asteroid heats up in the process?arrow_forwardTwo spherical asteroids have the same radius R. Asteroid 1 has mass M and asteroid 2 has mass 2M. The two asteroids are released from rest with distance 10R between their centers. What is the speed of each asteroid just before they collide? Hint: You will need to use two conservation laws.arrow_forward
- Ex. 9: Calculate the work required to be done in moving a body of mass 100 kg from a height (2 R) to height (3 R) above the surface of the earth. (G 6.67 x 10-11 Nm2 / kg, mass of earth %3D (m) 6 x 1024 kg, radius of earth R 6400 km). %3Darrow_forwardA 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the surface of the Earth with a speed of 5400 m/s. The radius of the Earth is 6370000 meters. The mass of the earth is 5.98e+24 kg. (A)Find the initial kinetic energy of the rock (in J) (B)Find the initial potential energy (in J) of the rock (HINT: the "r" in the potential energy formula is measured from the CENTER of the Earth). (C)Find the total initial energy (in J) of the rock (D)What is the potential energy (in J) of the rock after it has fallen 4 Earth radii from its original position. (E)Using the Conservation of Energy, find the speed (in m/s) of the rock after it has fallen 4 Earth radii from its original position.arrow_forwardThe planet Neptune has a satellite, Proteus, which travels in an orbit of radius 1.180×108 m with a period of 1.12 days. Calculate the mass of Neptune from this information.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning