4 Hidden Planet A planet present in our Solar system but never visible in the night sky, has an orbital period of 3.16 × 10^7 s. If the mass of the Sun is 1.99 × 10^30 kg at what distance (in kilometers) from the Sun’s center does the planet orbit? A. 97,200,000 km B. 150,000,000 km C. 265,000,000 km D. 391,000,000 km #6 Work done by friction A 2.52 kilogram disk slides across a level surface where the coefficient of kinetic friction is 0.150. If the disk slides 82.1 meters before coming to rest, what is the magnitude of the work done by the force of friction? Note that friction decelerates the mass, is directed oppositely to the displacement, and the work is negative in sign. A.148J B.221J C.304J D.442J

2. A satellite revolves around the earth in a circular path at a height of 500 km above the surface. Given Radius of Earth = 6.4 x 10 6m and Mass of earth = 6.0 x 10 24kg and G= 6.67 x 10'Nm2/Kg² [ЗА %3D %3D %3D a) Calculate the orbital speed of the satellite

You are an astronaut on a rotating space station. Your station has an inside diameter of 3.00 km a) Draw a system diagram and FBD of your body as you stand on the interior surface of the station  b) Determine the speed you need to have if your apparent weight is to be equal in magnitude to your Earth -boundweight.  c) Determine your frequency of rotation, both in hertz and in revolutions per minute.

If the Sun were 5 times more massive, its gravitational force on the Earth would be: a. 25 times larger b. 5 times smaller c. 5 times larger d. The same e. 25 times smaller

Two planets orbit a star. You can ignore the gravitational interactions between the planets. Planet 1 has orbital radius r₁, and planet 2 has r₂ = 4r₁ Planet 1 orbits with period T₁ Planet 2 orbits with period A. T₂ = -1/T₁ B. T₂=2T₁ C. T₂ = 4T₁ D. T₂=8T₁

20. The state vectors for an Earth-orbiting spacecraft at a given point in time are: R=(2,200 / +1,300 / + 6,400 R) km and V= (3.21+5.2 / +4.7 R) km/s What is the semi-major axis of the orbit? a. 6,203 km 7,078 km 9,122 km d. None of the above a= M = -3.986 x 10 km 28

A satélite órbits the earth in a circle of radius R with a period T. The radius of the satélite orbit is increased to 4*r. What is the new period of the satélite orbit? A. 4*T B. 8*T C. 2*T D. 6*T

2. An unknown planet was accidentally discovered by NASA. It has a mean distance of 2.15 E11 meters from the sun. Assuming it has a mass of 6.02 E24 kg, how long (in Earth Years) will it take for the said planet to revolve around the sun?

2. Two identical stars with radius R and mass M, orbits around their center of mass. The orbit is circular, and the stars are always on the opposite side of the circle. (b) Find the orbital speed of each star and their periods.

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