At their closest approach, Venus and Earth are 4.20 × 10 10 m apart. The mass of Venus is 4.87 × 10 24 kg, the mass of Earth is 5.97 × 10 24 kg, and G = 6.67 × 10 -11 N • m 2 /kg 2 . What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

(A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 ✕ 1024 kg and its moon, with mass 2.35 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 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 satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.4 × 107 m. The mass of the planet is M = 4.4 × 1024 kg. Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite.  F =    Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R.  ac =    Express the speed v in terms of G, M and R.  v = Calculate the numerical value of v, in m/s.  v =

In the figure, a square of edge length 19.0 cm is formed by four spheres of masses m₁ = 4.90 g, m₂ = 2.80 g, m3 = 1.30 g, and m4 = 4.90 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.80 g? M²1 mg M5 ·x m₂ MA

During a solar eclipse, the Moon is positioned directly between Earth and the Sun. The masses of the Sun, Earth, and the Moon are 1.99×10^30 kg, 5.98×10^24 kg, and 7.36×10^22 kg, respectively. The Moon's mean distance from Earth is 3.84×10^8 m, and Earth's mean distance from the Sun is 1.50×10^11 m. The gravitational constant is G=6.67×10^−11 N·m2/kg^2. Find the magnitude F of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun.

What is the ratio of the sun's gravitational pull on Mercury to the sun's gravitational pull on the earth? The radius of the orbit of Mercury is RM=5.79×1010mRM=5.79×1010m and its mass is mM=3.30×1023kgmM=3.30×1023kg. The radius of the orbit of Earth is RE=1.50×1011mRE=1.50×1011m and its mass is mE=5.97×1024kgmE=5.97×1024kg. FM/FE=

The Lunar reconnaissance orbiter (LRO) is currently in orbit around the moon on an exploration mission to map its surface. If it has a mass of 1820 kg and is orbiting at an elevation of 65.0 km from the surface, what is the gravitational force acting on the LRO due to the moon? The moon has a mass of 7.348 x 1022 kg and a radius of 1738 km. {G = 6.674 x 10-11 N m2/kg?} r = 1,803 km 1738 km I m, Norbiter = 1,820 kg mmoon 7.348 × 102² kg 65.0 km

A heavier mass m, and a lighter mass m, are 18.0 cm apart and experience a gravitational force of attraction that is 8.90 x 10-9 N in magnitude. The two masses have a combined value of 5.30 kg. Determine the value of each individual mass. m1 kg = m2 kg

Everyone knows the earth is pulled toward the Sun by the gravitational force between the Sun (M = 2 x 10^30kg) and the earth (m = 6 x 10^24kg).  What is the gravitational acceleration of the Sun due to the earth's pull (1.5 x 10^11 km apart)?

The Lunar reconnaissance orbiter (LRO) is currently in orbit around the moon on an exploration mission to map its surface.  If it has a mass of 1820 kg and is orbiting at an elevation of 65.0 km from the surface, what is the gravitational force acting on the LRO due to the moon?  The moon has a mass of 7.348 x 1022 kg and a radius of 1738 km. {G = 6.674 x 10-11  N⋅⋅ m2/kg2}