16) Which is true about planetary orbits: The orbital and escape velocity of a body are...
Fundamental Planetary Science problem 2.2 a) Calculate the minimum velocity at which a rock must leave Mars' at- mosphere for it to be on a trajectory that intercepts tje Earth's orbit? You can take into account the speed needed to escape from the Martian gravity but not the drag within the planet's atmosphere. You may also neglect planetary rotation and assume the planets' orbits are circular and coplanar. b) At what speed does this rock impact on the upper atmosphere...
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer trajectory called the Hohmann transfer orbit. As shown in the diagram, below, Hohmann transfer facilitates a smooth transition between two planetary bodies in roughly circular orbits located on the same plane. For our solar system, this plane is known as the ecliptic. Using data you can find online for the orbits of Earth, Saturn and the Sun and assuming that...
6 of 13 Properties of Circular Orbits Constants Find the orbital speed of a satelite in a circular orbit of radius R around a planet of mass M. Express the orbital speed in terms of G, M, and R. View Available Hint(s) Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass m, is initially in a circular orbit of radius r and angular speed w about the star, of mass M. (i) What is the gravitational potential energy of the system, U? What is the kinetic energy of the planet, K? What is the total energy of the system, E = K +U? (ii) The star suddenly loses half of its mass, M + M/2....
QUESTION 16 The Moon which has mass of about 7.35 1022 kilograms, and it orbits the Earth with an average orbital distance of 384,400 kilometers. Calculate the following for the Moon the magnitude of the average gravitational force exerted by the Earth on the Moon: A. Newtons (use scientific notation and round the coefficient to two decimals) the magnitude of the acceleration due to Earth's gravity at Moon's orbit B. m/s (use scientific notation and round the coefficient to two...
1. A moon of mass \(m\) orbits around a non-rotating planet of mass \(M\) with orbital angular velocity \(\Omega\). The moon also rotates about its own axis with angular velocity \(\omega\). The axis of rotation of the moon is perpendicular to the plane of the orbit. Let \(I\) be the moment of inertia of the moon about its own axis. You can assume \(m<<M\)so that the center ofmass of the system is at the center of the planet.(a) What is...
Application of Universal Gravity non-orbital motion Kinetic Energy mp2 Escape velocity EX-11 Find the Minimum speed needed for an object escape form the Earth surface. Gravitational mM Potential Energy U = -G G = 6.67 x 10-11 Work and Energy Woth = AE (2) Conservation of mechanical energy E = E (3) V = 0 Final: object at infinite Ey = y + Ug = źmv} + (-GMT) =0 4 Step procedures of solving work and energy problems Normal force...
The tidal forces between the Earth and the Moon slowed down the Moon's rotation about its own axis until the rotation period became equal to the Moon's orbital period around the Earth as we observe today. The same effect is also slowing down the Earth's rotation about its own axis and increasing the separation \(D\) between the Moon and the Earth at a rate of \(\Delta D / \Delta t=3.8 \mathrm{~cm}\) per year. In this problem, you can ignore the...
9.6 FE/EIT Review - Momentum, energy, and orbital mechanics.maF The following figure shows a satellite Q (modalnd s particke of mase m) in an ellptical orbit around Earth. Earth is modeled as a particle O fixed in a Newtonian reference frame N Draw right-handed orthogonal unit vectors i, i,, і, fixed in N with fix horizontally-... right and parallel to the ellipse's major diam- eter, i, vertically-upward and parallel to the ellipse's minor diameter, and fi, perpendicu lar to the...
please answer these all of these. Answer all please
16. Dr. Evil has a 2400 kg satellite in a circular orbit 950 km above the surface of the Earth. re = 6.38 x 10m a) How much work must be done to move the satellite from Earth to that orbit? b) What is the binding energy of the satellite in that orbit? c) Calculate the escape velocity of the satellite from Earth's potential well while it is in its orbit....