The weight w of an object varied inversely as the square of the distance d between the object and the center of Earth. If a man weighs 90 kg on the surface of Earth, how much would he weigh 400 km above the Earth's surface? (Given: The radius of the Earth is approximately 6400 km.)

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 lead spheres are separated by 0.207 m, centre-to-centre. One sphere has a mass of 5.53 kg. The gravitational attraction between the spheres is 6.06x108N. What is the mass of the other sphere? Express your result in SI units but don't include the units in your answer.

What is the magnitude of the gravitational acceleration at a height of two earth radius (2RE) above earth surface? Take gravitational acceleration near Earth surface as 9.81 m/s2. Express your answer in m/s2 and enter numerical value only, no units

A 4.4 kg mass weighs 35.64 N on the surfaceof a planet similar to Earth. The radius ofthis planet is roughly 6 × 10^6 m.Calculate the mass of of this planet. Thevalue of the universal gravitational constantis 6.67259 × 10^−11 N · m^2/kg^2.Answer in units of kg. Calculate the average density of this planet.Answer in units of kg/m^3.

The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg,  the period of the ISS at the orbit around the earth is 9.16 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.

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)

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?

The International Space Station (ISS) completes one orbit of Earth in 92 minutes.  What is the radius of the orbit in kilometers (km)?    You may assume the orbit is circular.  The mass of the ISS is 420 kg, and the mass of the Earth is 6.0×10246.0×1024kg.  Newton’s gravitational constant is 6.7×10−11N⋅m2kg26.7×10−11kg2N⋅m2​.