An object near the surface of a distant planet is dropped from rest (assume no air resistance). If the gravitational field due to the planet is twice that of the Earth, how fast will the object be falling after one second? Explain your answer!

Assume that we have a distant Star-Planet system with no other planets and the Star is the same as the Sun and the planet is the same as the Earth. This is called an "Earth analog system or "Earth twin". The masses and the orbits are the same except you can assume a perfectly circular orbit.  A) Calculate the equation for the orbital velocity of a planet on a circular orbit. To do this use the equation for average speed: distance=rate x time. In a circular orbit, the speed is always the same, so you can use a time that is one full orbital period (1 year). What is the distance that a planet on a circular orbit travels in this time? Calculate the speed of the Earth twin in meters/second.  Mass of the sun: 2 x 1030 kg. Mass of the Earth: 5.97 x 1024kg (Note: I think I understand how to use the distance= rate x time, but I'm not sure what to input for rate in this situation. I am also not sure how to calculate the speed of the Earth twin)

Three different objects, all with different masses are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of the object is a multiple of the base mass: m: object one had mass 3.10m, object 2 has mass 1.46m, and object 3 has mass m. Object 3 is on step one, object 2 is on step two, and object one is on step 3. define the total gravitational energy of the three object system to be zero when the objects are at the bottom of the steps. Each answer requires the numerical coefficient to an algebraic expression that uses some combination of variables m, g, and d, where g is the acceleration due to gravity. find a new reference height (measured from the base of the stairs) such that the highest two objects have the exact same gravitational potential energy?

A newly discovered planet has the same acceleration due to gravity as Earth with a value of g. If the new planet has twice the radius of Earth, what must be its mass?     a me/4   b 4me   c 2me   d me/√2   e √2 me     f me/2

An artificial satellite is "parked" in an equatorial circular orbit at an altitude of 103 km above the surface of the Earth.  a) What is the speed of the satellite? b) What is the minimum additional velocity that must be imparted to the satellite if it is to escape from Earth's gravitational attraction?   G = 6.67 x 10-11*N*m2/kg2  ME = 6.0 x 1024 kg RE = 6.4 x 106 m

An object is thrown upward with a speed of 15.2 m/s on the surface of planet X where the acceleration due to gravity is 1.8 m/s². What is the maximum height reached by the object? Answer: Check

In the below figure, we have listed data taken from a fictional planet. Aprojectile has been launched horizontally, and its height from the groundhas been measured at different times.(a) Draw a linear plot of h so that h is on the vertical axis.(b) Estimate the gravitational acceleration of this planet time(s)           h(m) 1.0                 190 2.0                 160 3.0                 110 4.0               40

An object is thrown upward with a speed of 16.3 m/s on the surface of planet X where the acceleration due to gravity is 1.8 m/s. What is the maximum height reached by the object? Answer: Check

Some of the most spectacular objects in the universe are fairly small: neutron stars are spheres with a diameter that's about 10km (they are remnants of old stars). Their spectacular nature is indicated by the fact that they are about as massive as the sun, i.e. 2 x 1030kg. What is the gravitational acceleration on the surface of such an object? Express your result as a multiple of g.

A rocket is projected upward from the earth's surface (r = RE) with an initial speed v0 that carries it to a distance r = 1.6 RE from the center of the earth. What is the launch speed v0? Assume that air friction can be ignored.