The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are mA = 363 kg, mB = 517 kg, and mC = 154 kg. Find the magnitude and direction of the net gravitational force acting on each of the three particles (let the direction to the right be positive).

In the figure, three 9.74 kg spheres are located at distances d₁ = 0.953 m, and d₂ = 0.215 m. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net gravitational force on sphere B due to spheres A and C? (a) Number i (b) Number i dr B Units Units î ✪

(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

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

Problem 2:  An object with mass m1 = 42 kg is located at the origin. Another object with mass m2 = 86 kg is located at l2 = 0.105 m. Consider position la = 0.035 m between the two objects and along the axis connecting them. Refer to the diagram. The gravitational field of m1 is denoted by g1. Enter an expression for the gravitational field g1 at position la in terms of m1, la, and the gravitational constant G.  The gravitational field of m2 is denoted by g2. Enter an expression for the gravitational field of m2 at la in terms of m2, m1, la, l2 and the gravitational constant G.  Enter and expression for the total gravitational field at position la, g, in terms of the quantities defined in the problem.

Please write the units.

a)find the magnitude of the gravitational force (in N) between a planet with mass 9.00 ✕ 1024 kg and its moon, with mass 2.20 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m.    =                           N b)What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.)  What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)

Sphere A with mass 92 kg is located at the origin of an xy coordinate system; sphere B with mass 65 kg is located at coordinates (0.25 m, 0); sphere C with mass 0.50 kg is located at coordinates (0.19 m, 0.18 m). In unit-vector notation, what is the gravitational force on C due to A and B? Number i i+ i j Units eTextbook and Media

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}

Consider a spherical shell constructed from a material of density 6.1 x 103 kg/m3.  The inner radius of the shell is 4.9 x 106 m from the center, and the outer radius of the shell is 9.2 x 106 m from the center.  Calculate the magnitude of the gravitational field 13.1 x 106 m from the center of the shell, in N/kg.  Use G = 6.7 x 10-11 N m2 / kg2. (Please answer to the fourth decimal place - i.e 14.3225)