Planet A has a mass of mA = 1.50 × 1024 kg and planet B has a mass of mB = 2.40 × 1023 kg. The planets are a distance d = 1.50 × 108 km apart. Suppose your mass is 85.0 kg, and you are located exactly half way in between the two planets. Calculate the total gravitational force on your body due to the two planets.
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Planet A has a mass of mA = 1.50 × 1024 kg and planet B has a mass of mB = 2.40 ×
1023 kg. The planets are a distance d = 1.50 × 108 km apart. Suppose your mass is
85.0 kg, and you are located exactly half way in between the two planets. Calculate
the total gravitational force on your body due to the two planets.
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- A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. a)Enter an expression for the radius R in terms of G, M and v. b)Calculate the value of R in meters. c)Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R.Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually, these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (ME = 5.97 ✕ 1024 kg, RE = 6380 km)? Say your mass is 68 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (MJ = 1.90 ✕ 1027 kg, RJE = 5.88 ✕ 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth? Part 1 of 5 The gravitational force between two masses is given by Fg = −GMm r2 where G = 6.67 ✕ 10−11 m3/s2/kg. We can use this expression to determine the magnitude of the gravitational force you feel…Confused on where to start when finding the orbital radius between the two planets. Given : planet mass 9.2 x10^2kg, sun mass 1.4 x10^35kg, and g= 17.3m/s^2
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- Problem 2: An object with mass m1 = 42 kg is located at the origin. Another object with mass m2 = 86 kg is located at l2 = 0.105 m. Consider position la = 0.035 m between the two objects and along the axis connecting them. Refer to the diagram. The gravitational field of m1 is denoted by g1. Enter an expression for the gravitational field g1 at position la in terms of m1, la, and the gravitational constant G. The gravitational field of m2 is denoted by g2. Enter an expression for the gravitational field of m2 at la in terms of m2, m1, la, l2 and the gravitational constant G. Enter and expression for the total gravitational field at position la, g, in terms of the quantities defined in the problem.The gravitational acceleration (gravitational field) at the surface of a Planet A is 9 m/s². The radius and the mass of Planet B are both three times larger than those of Planet A. What is the gravitational acceleration on Planet B? O 81 m/s? O3 m/s² O 1 m/s2 O 27 m/s? O 9 m/s2Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but a much smaller diameter. If you weigh 650 NN on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 24.0 km ? Take the mass of the sun to be ms = 1.99×1030 kg, the gravitational constant to be G = 6.67×10−11 N⋅m2/kg^2, and the free-fall acceleration at the earth's surface to be g = 9.8 m/s^2. Express your weight wstar in newtons.