(A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.90 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m.  (B) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s2  (C) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) m/s2

(a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?

The gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is in the space station in orbit around the Earth, is the gravitational force on her (a) larger, (b) exactly the same, (c) smaller, (d) nearly but not exactly zero, or (e) exactly zero?

Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?

The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.

Find the magnitude of the gravitational force (in N) between a planet with mass 6.75 * 10 ^ 24 * kg and its moon, with mass 2.55 * 10 ^ 22 * kg if the average distance between 2.60 * 10 ^8 m. What is the moon's acceleration (in m /s ^ 2) toward the planet? What is the planet's acceleration (in m/s^ 2 ) toward the moon?

In this problem, you are going to explore three different ways to determine the gravitational constant G.  a) By observing that the centripetal acceleration of the Moon around the Earth is ac = 2.66 × 10-3 m/s2, what is the gravitatonal constant G, in cubic meters per kilogram per square second? Assume the Earth has a mass of ME = 5.96 × 1024 kg, and the mean distance between the centers of the Earth and Moon is rm = 3.81 × 108 m.   b) Measuring the centripetal acceleration of an orbiting object is rather difficult, so an alternative approach is to use the period of the orbiting object. Find an expression for the gravitational constant in terms of the distance between the gravitating objects rm, the mass of the larger body (the earth) ME, and the period of the orbiting body T.   c) The gravitational constant may also be calculated by analyzing the motion of an object, launched from the surface of the earth at an initial velocity of vi. Find an expression of the gravitational constant…

During a solar eclipse, the Moon is positioned directly between Earth and the Sun. The masses of the Sun, Earth, and the Moon are 1.99×1030 kg, 5.98×1024 kg, and 7.36×1022 kg, respectively. The Moon's mean distance from Earth is 3.84×108 m, and Earth's mean distance from the Sun is 1.50×1011 m. The gravitational constant is ?=6.67×10-11 N·m2/kg2 . Find the magnitude ? of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun.F = ? N

The distance between Earth and Moon (r) is 3.84 x 108 m. What is the magnitude of gravitational force each exerts on the other? Earth’s mass (mE) = 5.97 x 1024 kg and Moon’s mass (mM) = 7.35 x 1022 kg. Universal constant = 6.67 x 10-11 N m2 / kg2

Find the magnitude of the gravitational force (in N) between a planet with mass 6.00 * 10 ^ 24 kg and its moon, with mass 2.20 * 10 ^ 22 kg if the average distance between centers is 2.70 * 10 ^ 8m. What is the moons acceleration towards the planet? What is the planet’s acceleration toward the moon ?