What is the gravitational acceleration on the surface of a planet that has twice the radius and twice the density of earth? show the solution

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Current Attempt in Progress One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M-2.97 x 1024 kg and R-8.31 x 10 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet? (a) Number (b) Number Units Units

A 20 kg sphere is at the origin and a 10 kg sphere is at (x, y) = (20 cm, 0 cm). At what point or points could you place a small mass such that the net gravitational force on it due to the spheres is zero?

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 5390 km. Satellite B is to orbit at an altitude of 22500 km. The radius of Earth REis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 11.7 kg? (d) By how much?

The orbit of the planet Venus is nearly circular with an orbital velocity of 126.5x103 km/h. Knowing that the mean distance from the center of the sun to the center of Venus is 108.5?1021 km and that the radius of the sun is 695.5x103 km, determine (a) the mass of the sun, (b) the acceleration of gravity at the surface of the sun.

The escape velocity from the surface of planet A is 5700 m/s. Planet B has the same density but the radius is 1/3 that of planet What is the escape velocity from the surface of planet B in m/s?

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 asteroid is discovered to have a tiny moon that orbits it in a circular path at a distance of 147 km and with a period of 35.0 h. The asteroid is roughly spherical (unusual for such a small body) with a radius of 24.3 km. a) Find the acceleration of gravity at the surface of the asteroid. b) Find the escape velocity from the asteroid.

The planet Mars has a satellite, Phobos, which travels in an orbit of radius 9.4 xm with a period of 7 hr 39 min. Calculate the mass of Mars from this information.