Given that a satellite has to be shifted 300km further from Earth than it's original geosynchronous orbit (that has period = 24hrs & radial distance of 42300km from center of the planet). Using most of the derivations from Newton's 2nd Law, a. what is the orbital period of the new orbit after shifting in hrs? b. How much energy would it take to move to new orbit if mass of satellite = 6350kg ? Givens -> Mass of earth = 5.98x10^24 kg G= 6.673x10^-11 (you can use other constants)

2. The simplest way to increase the size of a circular orbit is method called a Hohmann Transfer (transfers the satellite from a small circular orbit to a larger one). It involves firing thrusters to create a change in velocity to get the satellite into a transfer orbit (elliptical), then later firing the thrusters again for another change in velocity to increase the size of the orbit (back to circular). Diagram: b Avb Transfer Initial Final Ava a Let us say we have the satellite from the previous problem in a circular orbit. We want to increase the altitude of the circular orbit from 418 km to 1000 km. (a) Find the change in velocity necessary to go into the transfer orbit, Ava. (b) Find the change in velocity necessary to go into the final circular orbit, Av. (c) How long will the transfer take? Constants needed: = G = 6.674 × 10-11 Nm² ²/kg² Re = 6.378 x 106m Mo 5.974 x 1024 kg

m = A little particle ball has a mass 200g. It is placed at a point along the axis of a hoop at a distance of d=1.2 m from its center. The hoop has a mass of M=2.0 kilograms. The radius of the hoop is R=50cm. Figure out the following and explain your thought processes for each one: a. The magnitude and direction of the force of gravity on the particle ball due to the hoop b. What the gravitational potential energy is of the system. R mo I I M

1. using Newton’s Law of Universal Gravitation and some kinematics calculation we can calculate the mass of the planet. For this, use this equation below: ?planet =(9.340×1024)×(vmax)×(Pstar)1/3×(Mstar)2/3   Given: - vmax = 1.5 m/s - Pstar = 3.5 days  - Mstar = 1.148 Msun, where Msun = 1.98847×1030 kg. This calculation is not shown.

Washington, D.C., is located at about 750 W longitude and 380 N latitude. San Francisco is near 1270 W longitude and 380 N latitude. Estimate how many minutes later the Sun rises in San Francisco than inWashington, D. C. How far apart would you estimate these cities to be? Assume that the earth’s radius is 6400 km. One day has 1440 minutes and of course the earth rotates 360 degrees around its axis in one day

I just need to know what is the Energy Conservation Equation.

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4 Hello, I have questions about the physics, can you please help me with your diagram and explanation? I am highly appreciate it and thank you very much! In 1843, a comet passed extremely close to the sun, mass Ms: its distance from the perihelion was d = 6.1*10^3 * a0, where a0 is the radius of the Earth's orbit. Accurate measurements showed that the eccentricity of the comet was e=1-x with x = 9.4*10^-5. Given u = 30 km/s is the speed of revolution of the Earth around the Sun. (a) Express the product GMs as a function of u and a0. (b) Considering that the trajectory of the comet is quasi-parabolic, calculate its speed of passage vp at the perihelion. (c) Deduce the speed Va of transition to aphelion as a function of Vp and x. Do the digital application. (d) In what year will this comet return to the solar system?

Question A3 State Newtons law of gravitation in equation form naming ALL terms in the equation. The gravi- tational potential energy of a mass m on the surface of a planet of radius R and mass M is given by the expression: GMm U = - R Derive an expression for the escape velocity vese for the given potential.

4. To calculate the energy necessary to move from one situation to another we compare the total energy in each. How much work must be done by a rocket engine to transfer a 1000 kg satellite from an orbit of radius 2R, to 3R,?