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 kinetic energy KE of the satellite in terms of m and v. Calculate the value of KE in joules.  b)Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G.  c)Enter an expression for the centripetal acceleration of the satellite ac in terms of the speed of the satellite, v, and R.

A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5.0 × 1010 m (inside the orbit of Mercury), at which point its speed is 9.6 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = i m/s

There is a rare alignment of three planets along the x axis (perhaps this is of astrological significance).  Planet 1 has mass 8 x 1024 kg and is located at x = 0 m.  Planet 2 has mass 6 x 1024 kg and is located at x  = 3 x 1011 m.  Planet 3 has mass 15 x 1024 kg and is located at x = 27 x 1011 m.  Calculate the total gravitational binding energy of this system, in units of 1026 J.  Use G = 6.7 x 10-11 N m2/ kg2, and note that your answer will be positive since I said binding energy. (Please answer to the fourth decimal place - i.e 14.3225)

Two satellites orbit the Earth in circular orbits of the sameradius. One satellite is twice as massive as the other. Whichstatement is true about the speeds of these satellites?(a) The heavier satellite moves twice as fast as the lighter one.(b) The two satellites have the same speed.(c) The lighter satellite moves twice as fast as the heavier one.(d) The ratio of their speeds depends on the orbital radius

Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 2.5x104 m/s when at a distance of 3.0x101 m from the center of the sun, what is its speed when at a distance of 5.3x1010 m . Express your answer using two significant figures. Hνα ΑΣφ ? V = m/s Submit Previous Answers Request Answer

Kenny gets sent to a distant planet of radius 6.0 x 10^5m, and he tries to find out how big the planet is by kicking a sphere of 0.4 kg. He kicks it (with respect to the ground) at an angle of 45o, with a speed of 30 m/s. If the sphere lands 6 seconds later, what is the mass of that planet? Remember, the gravitational acceleration for this planet isn't the same as Earth's!

A satellite of mass m is orbiting Earth in a stable circular orbit of radius R. The mass and radius of Earth are ME and RE , respectively. The satellite is replaced with a similar satellite that has twice the mass. The new satellite is placed into the same orbit as the original satellite. Is the new satellite’s orbital speed greater than, less than, or equal to the original satellite’s orbital speed?  Why? The original satellite can be placed in many different circular orbits of radius r. On the axes, sketch a graph of the mechanical energy E of the satellite-Earth system as a function of the orbital radius r. (attached as photo1) The satellite is traveling with speed v in the original orbit as shown by the dashed line in the figure. The satellite then collides with a small meteorite. The speed of the satellite is reduced to half its current value. On the figure (provided as photo2), sketch the path the satellite will follow after the collision with the meteorite.

Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2330 m/s in a perfectly circular orbit. Here is some information that may help solve this problem: mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2 1.)What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?

A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.6 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.1 x 104 m/s. Its farthest distance from the Sun is far. beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/s Enter a number. AdditionaI Matenais O eBook