The ratio of the gravitational field at an altitude 2 RE above the Earth's surface (RE = the radius of the Earth) to the field at the Earth's surface is ап 1/9 1/3 9
Q: A proton is located at x10-9 m and an alpha particle is located at x109 m. (a) calculate the force…
A: The location of the proton: <x1, y1, z1> = <0, 0, -2> x 10-9 m The location of the alpha…
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A: Given data: Distance between Sun and Mars (RMS) = 2.28×108 km Mass of Sun (Ms) = 1.99×1030 kg Mass…
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A: Mass of the Earth , m = 5.97×1024 kg Mass of the Sun , M = 2.00×1030 kg Distance between Earth and…
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A: Gravitational force between two masses F = Gm₁m₂/r²
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A: Solution Given dataMass of physitopia M=6.46×1023kgRadius R=3.39×106mMass of individual…
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- Planet Kling has half the radius and 2 times the mass of the Earth. What is the best estimate for the magnitude of the gravitational field at the surface of Planet Kling?Determine the ratio of Earth's gravitational force exerted on an 80-kg person when at Earth's surface and when 1100 km above Earth's surface. The radius of Earth is 6370 km. FE on P,surface FE on Ph 195] ΑΣΦ ?I-C.
- We will use differential equations to model the orbits and locations of Earth, Mars, and the spacecraft using Newton’s two laws mentioned above. Newton’s second law of motion in vector form is: F^→=ma^→ (1) where F^→ is the force vector in N (Newtons), and a^→ is the acceleration vector in m/s^2,and m is the mass in kg. Newton’s law of gravitation in vector form is: F^→=GMm/lr^→l*r^→/lr^→l where G=6.67x10^-11 m^3/s^2*kg is the universal gravitational constant, M is the mass of the larger object (the Sun), and is 2x10^30 kg, and m is the mass the smaller one (the planets or the spacecraft). The vector r^→ is the vector connecting the Sun to the orbiting objects. Step one ) The motion force in Equation(1), and the gravitational force in Equation(2) are equal. Equate the right hand sides of equations (1) and (2), and cancel the common factor on the left and right sides. Answer: f^→=ma^→ f=Gmm/lr^→l^2 a^→=Gmm/lr^→l^2 x r^→/lr^→l r^→=r^→/lr^→l * Gmm Could you please…Venus is known as the 'Earth's sister' because of its similar size and gravity. It has a mass of 4.87 x 10^24 kg and an average radius of 6060 km. As the 150 kg satellite slowly approaches the surface of Venus it is influenced by its gravitational field. (a) Describe how the satellite gravitational potential energy changes as it is moving from an altitude of 5000 km to the surface of Venus. (b) Calculate the gravitational fieid strength on the surface of Venus.(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.
- In the figure, three 7.82 kg spheres are located at distances d₁ = 0.226 m, and d₂ = 0.204 m. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net gravitational force on sphere B due to spheres A and C? (a) Number (b) Number IN M. d₁ A B ∙d₂ Units Units N ° (degrees)A proton is located at (0, 0, -1.0 x 10-9) m, and an alpha particle (consisting of two protons and two neutrons) is located at (1.0 x 10-9, 0, 2.5 x 10-9) m. (Express your answers in vector form.) (a) Calculate the force the proton exerts on the alpha particle. XN (b) Calculate the force the alpha particle exerts on the proton. X NH.W: In the Boher model of the hydrogen atom an electron moves at 2.19*10m/s in an orbit of radius 5.29*10" centered on a proton. (a)what is the centripetal force on the electron? (b)what is the number of revolutions made each second? Ans. (a)9.06*10"m/s (b = 6. 58 + 1015 1/s H.W: A ball is thrown with an initial speed voat an angle 0 below the horizontal from rooftop 44m above the ground. It lands 2sec later at a point 32m from the Vor base of the building. Find vo and 0 Ans. 0 = -37.32vo = 20. 1m/s H.W: A ball thrown up from a rooftop of height 40m lands on ground in 4s. (a)what is its maximum height above the ground? (b)what is its velocity 15m below the rooftop? Ans. (a)44.7m (b) v = -19.65 4 H.W: An object is thrown horizontally at 20m/s from a cliff top 45m above sea level. Find (a)the time to land; (b)the angle at which it hits the water; (c)the speed at which it hits the water. Ans. (a)3.03s (b)Ø = -54.73 (c)35.79m/s
- Field g on Different Planets 1 3. m m m,r m,2r 2 > 受,2r Four planets have relative masses and radii as shown above. The gravitational field g is smallest on the surface of which planet? 1 2 4 4. 2.When a massive star reaches the end of its life, it is possible for a supernova to occur. This may result in the formation of a very kg small, but very dense, neutron star, the density of which is about the same as a neutron. A neutron has a mass of 1.7 x 10-27 and an approximate radius of 1.2 x 10-15 m. The mass of the sun is 2.0 x 1030 kg. Determine the radius R of a neutron star that has three times the mass of our Sun and the same density as a neutron. 1.27 x104 R = Incorrect-11 Considering an electron and a proton as two charged particles separated by d = 5.1 x 10 m calculate the value of the the gravitational force between the proton and the electron. Take the mass of the proton 1.7 x 10-27 kg, the mass of the electron 9.1 x 10-31 kg, the value of the =9x10⁹ m/F. Give the answer in 10-47 universal gravitational constant 6.7 x 10-11 N kg 2m-2, the electron charge -1.6 x 10-19 C and 1 Απερ N. For example, if calculated value is 121.6x10-47, then enter 121.6 as your answer. Answer: