The direction of the gravitational force is always pointing downwards. True False

The shuttle orbiter A is in a circular orbit of altitude 200 mi, while spacecraft B is in a geosynchronous circular orbit of altitude 22,300 mi. Find the relative position vector of A to B. Use g0 = 32.23 ft∕sec^2 for the surface-level gravitational acceleration and R = 3959 mi for the radius of the earth.

Two objects of equal mass are located at 1.0m and 2.0m above the surface of the Earth. Explain why we can treat the gravitational force on these objects as being equal, even though they are different distances from the center of the Earth.

A satellite is in circular polar orbit around Earth at an altitude of 450 km – meaning it passes directly overhead of the North and South Poles. What is the magnitude and direction of the displacement vector when it is directly over the North Pole to when it is at 40° latitude? Earth’s radius is 6,370 km.

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?

The diagram below shows three masses at the corners of a square of sides d = 5.10 m. Here, m1 = m2 = m and m3 = 5.10m where m = 2.00 kg. (a) What is the magnitude of the gravitational field at the center of the square due to these three masses?_________m/s2 (b) Suppose the two masses m1 and m2 are not equal. What value of m1 will produce a gravitational field at the center of the square directed vertically down?_________m/s2

Three uniform spheres of masses m₁ = 2.50 kg, m₂ = 4.00 kg, and m3 = 5.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m₂, assuming the spheres are isolated from the rest of the Universe. 10-11 N (0, 3.00) m (-4.00, 0) m M₂ 0 m₁ F12 m₂

The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are ma = 346 kg, mB = 520 kg, and mc = 129 kg. Take the positive direction to be to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. 0.500 m B 0.250 m

The International Space Station has a mass of 4.19 ✕ 105 kg and orbits at a radius of 6.79 ✕ 106 m from the center of Earth. Find the gravitational force exerted by Earth on the space station, the space station's gravitational potential energy, and the weight of an 88.3 kg astronaut living inside the station. Just need the answer to option B   (a) the gravitational force (in N) exerted by Earth on the space station (Enter the magnitude.)   3622431.86 N (b) the space station's gravitational potential energy (in J)   _____________J (c) the weight (in N) of an 88.3 kg astronaut living inside the station  763.39 N

Two objects attract each other with a gravitational force of magnitude 1.01 If the total mass of the two objects is 5.12 kg, what is the mass of each? 10^-8 N when separated by 19.4 cm. heavier mass: kg lighter mass : kg