Calculate the escape velocity to an orbit of 214 km height from a planet with the radius of 2000 km and the density of 3400 kg·m-3

Using the above equation and what you know about kinetic energy and energy conservation, show that the expression for the escape velocity ve from a planet of radius R is .  (Hint:  To just escape the planet, the object’s speed must be 0 infinitely far from the planet.) and find the escape velocity of an object being launched from Earth.  Earth has a radius of  and a mass of .

Can you please help me with this question please? Thank you so much!

If you took the Earth and reduced its radius to one fourth its current size, what would the escape velocity from the Earth be?

3 O с Which of the following is a reason that astronomers have not found giant planets with the orbit of Neptune around other stars? our theories suggest that orbits as far away from a star as Neptune are never stable (and the presence of Neptune in our own solar system is a big mystery) the method we are using to find planets currently can only reveal low-mass planets, while we expect high-mass planets at the orbit of Neptune we have already found several planets as far from their stars as Neptune is from the Sun At the distance of Neptune's orbit, it takes 165 years to go around the Sun; getting information about just one cycle of such a planet's orbit around another star would take astronomers 165 years O at the orbit of Neptune, only very low-mass planets (smaller than Mercury) can form F3 $ 4 R (1) F F4 V DII % 5 T Q Search F5 G 6 B F6 Y = 8 0 H F7 & 7 U N PrtScn J F8 W 8 Home 1 W F9 M 9 K End O F10 ) PgUp 0 L

A satellite is in a circular orbit with a radius of 6570 km and an inclination of 28º. It needs to be moved to a circular orbit with a radius of 42,160 km and an inclina- tion of 0°. This scenario could be a satellite launched from Cape Canaveral in Florida headed for a geostationary orbit. Find the total burn using the most fuel-efficient transfer.

Calculate the escape velocity to an orbit of 457 km height from a planet with the radius of 2000 km and the density of 3400 kg⋅m-³. Give your answer in Sl units.

(a) Calculate Venus' mass given the acceleration due to gravity at the north pole is 8.865 m/s? and the radius of Venus at the pole is 6,052 km. M. calculated | kg (b) Compare this with the accepted value of 4.868 x 1024 kg. calculated M аcсepted

In 2000 , NASA placed a satellite in orbit around an asteroid. consider a spherical asteroid with a mass of 1.50 * 10^16 kg and a radius of 10.0 km what is the speed of a satellitie orbiting 5.90 km above  the surface ? express with appropriate units what is the escape speed from the asteroid (express with appropriate units)

a) What is the total energy needed to place a 2.0 x 103 kg satellite into circular Earth orbit at an altitude of 5.0 x 102 km? b) How much additional energy would have to be supplied to the satellite once it was in orbit, to allow it to escape from Earth’s gravitational field?