How far from the earth must a body be along line toward the sun so that the gravitational pull of the sun balances that of the earth? Earth-to-sun distance is 9.3x10^7 mi; mass of the sun is 3.24x10^5 times the mass of earth.

Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2330 m/s in a perfectly circular orbit. Here is some information that may help solve this problem: mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2 1.)Which of the following quantities would change the radius the satellite needs to orbit at? a.)the mass of the satellite b.)the mass of the planet c.)the speed of the satellite   2.)What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?

The acceleration due to gravity at the moon's surface is 1.67 ms^-2. If the radius of the moon is 1.74 x 10^6 m. Calculate the mass of the moon. Use the known value of G.

29. Consider Planet X whose mass and radius are 9.05 x 1025 [kg] and 5.95 x 104 [m], respectively. If the weight of the object on the surface of the Earth is 2940 [N], what is its weight at height 750 [m] from the surface of the Planet X? Note: The gravitational constant is G = : 6.6743 x 10-11 m3 A. 3.70 × 108 [N] C. 4.99 x 108 [N] B. 4.88 x 108 [N] D. 5.12 x 108 [N] Lkg

The gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.

Two spherical objects have a combined mass of 160 kg . The gravitational attraction between them is 7.61×10−6 NN when their centers are 21.0 cm apart. What is the mass of the heavier object?   What is the mass of the lighter object?

A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg.  A sphere of unknown metal has a radius of 30.0 cm.  The surfaces of the spheres are 20.0 cm apart.  The force of gravitational attraction between the two spheres is 0.372 mN.  What is the mass of the unknown metal?

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)

Two objects attract each other with a gravitational force of magnitude 9.60  10-9 N when separated by 19.6 cm. If the total mass of the objects is 5.05 kg, what is the mass of each? heavier mass _______kg lighter mass ______kg

A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a radius of 30.0 cm. The surfaces of the sphere are 20.0 cm apart. The force of gravitational attraction between the two spheres is 0.372 nM. What is the mass of the unknown metal?